Free Printable Algebra 1 EOC

1.

relation

a)

Solve A=P+PRT for T. You perform the opposite operation on each variable until you get the one you are solving for all by itself. Subtract P, then divide by P and R.

b)

exponential functions > quadratic functions > linear functions

c)

It means what number multiplies times itself to get the number under the house.

d)

set of ordered pairs

2.

ordered pair

a)

36/100 * 500 = x To solve you multiply 500 times 36/100.

b)

moves the line up or down the y-axis.

c)

the x and y coordinates of a point on the coordinate plane (x,y)

3.

coordinate plane

a)

is more than, is greater than, is larger than, shade above, shade to the right

b)

Positive Correlation, Negative Correlation, or No Correlation.

c)

data appears as individual points on a graph. Whatever is being graphed cannot be broken down in to smaller pieces.

d)

a plane formed by 2 perpendicular lines called axes (the x-axis goes sided to side, the y-axis goes up and down).

4.

function

a)

A data point that does not fit in with the rest of the data.

b)

special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)

c)

2 + 3.14.... = 5.14....

d)

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, etc. The resulting number when you multiply a number times itself. EX: 4 X 4 = 16

5.

Mapping

a)

Counting numbers: 1, 2, 3, ......

b)

Example: See x^4 - y^4 as (x^2)^2 - (y^2)^2, thus recognizing it as the difference of two squares that can be factored as (x^2-y^2)(x^2+y^2).

c)

Bubbles that represent the x-values and the y-values.

d)

The way numbers are grouped is different, but the result is the same.

6.

Table

a)

A function that is not continuous. It has levels which represent the y-value for a set of x-values.

b)

Add/Sub

c)

the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

d)

A way to represent ordered pairs.

7.

domain

a)

A data point that does not fit in with the rest of the data.

b)

set of all of the possible x-values. INPUTS

c)

ADD them

d)

3+6+9= 18 /3 = 6

8.

range

a)

If the discriminant is positive, you will have 2 solutions or x-intercepts. If the discriminant is zero, you will have 1 solution or x-intercept. If the discriminant is negative, you will have No Solution (or really a complex solution (imaginary) in the form (a + bi)

b)

They are the same

c)

set of all the possible y-values. OUTPUTS

d)

domain, independent variable, input

9.

variable

a)

Set up a proportion and solve.

b)

NOT A NUMBER. A letter or symbol that stands for a number.

c)

Ex: f(x) = 3x + 4, solve for f(-2). All you do is replace the x with a (-2) and solve. 3(-2) +4 = -2

d)

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

10.

independent variable

a)

f(x) = g(x) meaning you can set the two equations equal to each other in order to solve for the variable. Then to find y you plug the variable back into one of the original equations and solve.

b)

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

c)

(y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.

11.

dependent variable

a)

the OUTPUT or RESULT in a situation or problem. It's the variable YOU CANNOT control. It's the Y variable. In a equation, its the variable BY ITSELF on one side of the = sign.

b)

It means what number multiplies times itself to get the number under the house.

c)

sqrt(20) = sqrt(4*5) = 2 sqrt (5)

d)

at the x-intercepts. They are also known as zeros and roots.

12.

other names for "x"

a)

slope

b)

Slope

c)

You have to have a common denominator.

d)

domain, independent variable, input

13.

other names for "y"

a)

range, dependent variable, output

b)

A pattern in which you add a number each time.

c)

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

d)

the OUTPUT or RESULT in a situation or problem. It's the variable YOU CANNOT control. It's the Y variable. In a equation, its the variable BY ITSELF on one side of the = sign.

14.

vertical line test

a)

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

b)

Bubbles that represent the x-values and the y-values.

c)

Maximum is at the highest point of a parabola.

d)

a relation is a function and passes the vertical line test if when a vertical line is drawn through the graph, it touches the graph only ONE time.

15.

discreet function (scatter plot)

a)

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

b)

set of all the possible y-values. OUTPUTS

c)

data appears as individual points on a graph. Whatever is being graphed cannot be broken down in to smaller pieces.

d)

y = mx, or y = ax, or y = kx. m, a, or k is just the coefficient in front of the x. They are also the SLOPE of the direct variation line. Direct variation lines have a y-intercept ot (0, 0)

16.

continuous function

a)

data appears as a smooth curve on a graph.

b)

Counting numbers: 1, 2, 3, ......

c)

A pattern in which you add a number each time.

d)

The product of two rational numbers is rational

17.

words for "<"

a)

the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

b)

domain, independent variable, input

c)

is less than, is smaller than, shade below, shade to the left

d)

Joint is the individual data in the middle. Marginal is the sum of the data for each row or column.

18.

words for ">"

a)

You have to get one of the variables to eliminate by getting them to be the same number just one positive and one negative, so they zero out.

b)

is more than, is greater than, is larger than, shade above, shade to the right

c)

Find the change in y-values, then divide by the change in x-values.

d)

moves the line up or down the y-axis.

19.

in y = mx + b, "m" stands for?

a)

slope

b)

When the graph is doing two (or more) different functions depending on what the x-vales are. EX. If x<-1, then y=1. If x>(or equal to) -1, then y=x^2 -3

c)

4x -7(35-10x)=-23. Distribute and solve for x. Then you can plug back in to one of the original equations to solve for y.

d)

Once the absolute value bars are on one side of the equal sign, by itself, you work two separate problems (1) Looks exactly the same as the original equation without the absolute value symbols. (2) Is the same on one side, but flip the inequality symbol and make the number negative.

20.

in y = mx + b, "b" stands for?

a)

the y-intercept

b)

slope

c)

It is an equation with a <, >, < or =, > or = in the place of the =.

d)

EX. 2/3 * 1/3 = 2/9

21.

changing the "m" in the slope-intercept form of the equation of a line changes what?

a)

If you know what one variable equals, like y=35-10x, then you can plug that value in for y in the second equation,

b)

Describes what is happening to the graph overall as the x-values change. As the x-values decrease, does the graph seem to go up or down? As the x-vales increase, does the graph seem to increase or decrease? This represents the end behavior as being positive or negative.

c)

(rational)(irrational) = irrational

d)

the steepness of the line

22.

changing the "b" in the slope-intercept form of the equation of a line changes what?

a)

Find one number that you can divide into both the numerator and denominator that is the same number. Then divide them both by that number.

b)

moves the line up or down the y-axis.

c)

When talking about data sets, make sure the numbers are in order from smallest to largest, to find the RANGE you SUBTRACT the smallest from the largest.

d)

Comparing the individual data to the whole, represented as a percentage.

23.

what is the linear parent function?

a)

A data point that does not fit in with the rest of the data.

b)

y = x

c)

A=(P+r/n)^nt

d)

SUBTRACT them

24.

f(x) = x

a)

sqrt(20) = sqrt(4*5) = 2 sqrt (5)

b)

Factor out the number or variable that all the terms have in common.

c)

f(x) = x

d)

A number between -1 and 1 that tells you if you have a strong or weak correlation. It also lets you know if it is a positive or negative correlation.

25.

define slope

a)

is more than, is greater than, is larger than, shade above, shade to the right

b)

Add/Sub

c)

Divide the numerator by the denominator. 1/4 = 1 divided by 4 = 0.25

d)

the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

26.

how is slope important for linear equations and lines?

a)

If the discriminant is positive, you will have 2 solutions or x-intercepts. If the discriminant is zero, you will have 1 solution or x-intercept. If the discriminant is negative, you will have No Solution (or really a complex solution (imaginary) in the form (a + bi)

b)

slope = 0

c)

linear equations and lines have CONSTANT slopes. The slope is the SAME all the way up and down the line.

d)

Comparing more than one thing in a table. Use the information in a table to answer questions.

27.

what slope does a HORIZONTAL line have?

a)

special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)

b)

36/100 * 500 = x To solve you multiply 500 times 36/100.

c)

slope = 0

d)

where the lines touch or cross

28.

what slope does a VERTICAL line have?

a)

y = mx, or y = ax, or y = kx. m, a, or k is just the coefficient in front of the x. They are also the SLOPE of the direct variation line. Direct variation lines have a y-intercept ot (0, 0)

b)

undefined slope

c)

where the lines touch or cross

d)

The sum of a rational number and an irrational number is irrational.

29.

what is the x-intercept?

a)

Are subtracted from the cost of the item. To find the amount to subtract, multiply the cost by the item times the percent being discounted.

b)

the point where the graph crosses the x-axis. It has the coordinates (x, 0)

c)

y=mx +b

d)

y=k f(x) vertical stretch if k is bigger than 1 and a vertical compression if k is less than 1.

30.

what is the y-intercept?

a)

NOT A NUMBER. A letter or symbol that stands for a number.

b)

the point where the graph crosses the y-axis. It has the coordinates (0, y)

c)

Is another name for slope usually used in word problems.

d)

Divide the numerator by the denominator. 1/4 = 1 divided by 4 = 0.25

31.

What is Direct Variation?

a)

y = mx, or y = ax, or y = kx. m, a, or k is just the coefficient in front of the x. They are also the SLOPE of the direct variation line. Direct variation lines have a y-intercept ot (0, 0)

b)

You may have to list the steps you performed explaining what you did, step by step. Know how to justify your solutions.

c)

Anytime you multiply or divide by a negative number.

d)

Add

32.

What is Inverse Variation?

a)

A linear function would be best for situation in which something is increasing at a constant rate. An exponential function is best for situations in which the rate increase over time. EX. The growth of bacteria cells in a petri dish would be exponential growth.

b)

linear equations and lines have CONSTANT slopes. The slope is the SAME all the way up and down the line.

c)

y = 1/x. As one quantity increases, the other decreases

d)

y=k f(x) vertical stretch if k is bigger than 1 and a vertical compression if k is less than 1.

33.

what is a linear inequality?

a)

... ,-3, -2, -1, 0, 1, 2, 3, ......

b)

set of all the possible y-values. OUTPUTS

c)

4x -7(35-10x)=-23. Distribute and solve for x. Then you can plug back in to one of the original equations to solve for y.

d)

It is an equation with a <, >, < or =, > or = in the place of the =.

34.

How do the slopes of parallel lines compare?

a)

(y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.

b)

Divide

c)

They are the same

d)

ADD them

35.

How do the slopes of perdendicular lines compare?

a)

They are opposite and fraction is flipped. Example: lines with the slopes -2 and 1/2 are perpendicular.

b)

Add/Sub

c)

an equation of function that has "x-squared" as its highest order exponent.

d)

The product of two rational numbers is rational

36.

What is a line of best fit?

a)

You have to have a common denominator.

b)

A line drawn through the points on a scatterplot to estimate the best line through the data.

c)

special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)

d)

A number between -1 and 1 that tells you if you have a strong or weak correlation. It also lets you know if it is a positive or negative correlation.

37.

What is a system of equations or system of inequalities?

a)

Are subtracted from the cost of the item. To find the amount to subtract, multiply the cost by the item times the percent being discounted.

b)

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

c)

A line drawn through the points on a scatterplot to estimate the best line through the data.

d)

2 or more equations or inequalities graphed on the same coordinate plane

38.

What is the SOLUTION of a system of equations?

a)

where the lines touch or cross

b)

y=k/x

c)

n - 7 You subtract 7 from the number.

d)

set of all the possible y-values. OUTPUTS

39.

How many solutions can a system with 2 equations have?

a)

Once the absolute value bars are on one side of the equal sign, by itself, you work two separate problems (1) Looks exactly the same as the original equation without the absolute value symbols. (2) Is the same on one side, but flip the inequality symbol and make the number negative.

b)

1) no solutions, if the lines are parallel and have the same slope. 2) one solution, if the lines intersect at one point. 3) infinite many solutions, if the two equations are the same and touch each other everywhere.

c)

a plane formed by 2 perpendicular lines called axes (the x-axis goes sided to side, the y-axis goes up and down).

d)

a relation is a function and passes the vertical line test if when a vertical line is drawn through the graph, it touches the graph only ONE time.

40.

What is a quadratic equation or function?

a)

You have to have a common denominator.

b)

an equation of function that has "x-squared" as its highest order exponent.

c)

where the lines touch or cross

d)

Set up a proportion and solve.

41.

Where are the solutions of a quadratic function?

a)

at the x-intercepts. They are also known as zeros and roots.

b)

You have to have a common denominator.

c)

Multiply/Divide

d)

Positive Correlation, Negative Correlation, or No Correlation.

42.

What are "like terms"?

a)

Work any math that you need to within the absolute value bars. Then always give the positive of that number as the answer.

b)

mathmatical terms that have the SAME variables raised to the SAME exponents.

c)

There is a pattern in which you multiply or divide by a common number.

d)

Follow the lines by answering questions until you get to your answer!

43.

How do you combine like terms?

a)

7<n

b)

the steepness of the line

c)

Add their coefficients.

d)

2 or more equations or inequalities graphed on the same coordinate plane

44.

How do you MULTIPLE exponents of like variables?

a)

How fast is it changing? Sometimes you find out how much each one changes, then take their average.

b)

an equation of function that has "x-squared" as its highest order exponent.

c)

Make sure the numbers are in order from least to greatest. Find the median, the Q1 and Q3 by finding the median again of the upper and lower sections.

d)

ADD them

45.

How do you DIVIDE exponents of like variables?

a)

To get rid of the exponent 2, you can take the square root of both sides. Remember the plus or minus symbol, which can give you two answers.

b)

SUBTRACT them

c)

Are subtracted from the cost of the item. To find the amount to subtract, multiply the cost by the item times the percent being discounted.

d)

Radical is the square root symbol.

46.

What is the "rate of change" on a graph?

a)

set of all the possible y-values. OUTPUTS

b)

set of all of the possible x-values. INPUTS

c)

Slope

d)

Round to the nearest TENTH means you keep ONE decimal place EX 0.5648 rounds to 0.6 The 6 behind the five tells the 5 to go up. Round to the nearest HUNDRETH means to keep TWO decimal places EX 0.56 The 4 tells the 6 to stay the same.

47.

Mean (Average)

a)

Follow the lines by answering questions until you get to your answer!

b)

Divide

c)

Add up all the data points, then divide by however many data points there were. Ex. 3,6,9

d)

y = 1/x. As one quantity increases, the other decreases

48.

3+6+9= 18 /3 = 6

a)

When the data is not evenly distributed.

b)

A=(P+r/n)^nt

c)

n - 7 You subtract 7 from the number.

d)

3+6+9= 18 /3 = 6

49.

Median

a)

Comparing more than one thing in a table. Use the information in a table to answer questions.

b)

When the data is put in order from smallest to largest, it is the number in the middle. If there are two numbers in the middle, you add them together then divide by 2. (You take their average)

c)

(x )(x )=0 Find the two numbers that multiply to get you c, AND they add/sub to get you b. If asked to SOLVE by factoring, then set each factor equal to zero and solve.

d)

These are the same. They can be interchanged with one another. f(x) simply lets you know the equation is a function. Can also be written with other variables like g(x), p(x), etc.

50.

Mode

a)

ADD them

b)

The number that shows up the MOST

c)

t is the time in years.

d)

Parenthesis

51.

Range

a)

an equation of function that has "x-squared" as its highest order exponent.

b)

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

c)

When talking about data sets, make sure the numbers are in order from smallest to largest, to find the RANGE you SUBTRACT the smallest from the largest.

d)

3+6+9= 18 /3 = 6

52.

Integer

a)

n + 3 Add 3 to the number

b)

A whole number, both positive and negative numbers, including zero.

c)

2 or more equations or inequalities graphed on the same coordinate plane

d)

Add/Sub

53.

... ,-3, -2, -1, 0, 1, 2, 3, ......

a)

When the data is not evenly distributed.

b)

When talking about data sets, make sure the numbers are in order from smallest to largest, to find the RANGE you SUBTRACT the smallest from the largest.

c)

... ,-3, -2, -1, 0, 1, 2, 3, ......

d)

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

54.

Whole numbers

a)

y1/x1 = y2/x2

b)

Start with 0, 1, 2, ......

c)

(y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.

d)

special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)

55.

Natural numbers

a)

If the discriminant is positive, you will have 2 solutions or x-intercepts. If the discriminant is zero, you will have 1 solution or x-intercept. If the discriminant is negative, you will have No Solution (or really a complex solution (imaginary) in the form (a + bi)

b)

Counting numbers: 1, 2, 3, ......

c)

The number that shows up the MOST

d)

and is still an irrational number.

56.

How do you Add and Subtract FRACTIONS?

a)

Parenthesis

b)

You have to have a common denominator.

c)

When two fractions are set EQUAL to one another. This is the only times you Cross multiply!

d)

3>n

57.

How do you multiply FRACTIONS?

a)

y = x

b)

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

c)

the point where the graph crosses the x-axis. It has the coordinates (x, 0)

d)

Cancel or reduce if possible, then multiply straight across. Some people like to multiply straight across and then reduce. Either way, if you can reduce, you MUST REDUCE.

58.

How do you Divide FRACTIONS?

a)

0.25 * x = 150. To solve you divide by 0.25.

b)

Slope

c)

undefined slope

d)

Keep, Change, Flip! Then multiply fractions!

59.

How do you Reduce FRACTIONS?

a)

Find one number that you can divide into both the numerator and denominator that is the same number. Then divide them both by that number.

b)

There is a pattern in which you multiply or divide by a common number.

c)

y = 1/x. As one quantity increases, the other decreases

d)

4x - 7y = -23 becomes

60.

Quadratic Formula

a)

In standard form, ax^2 + bx + c, where a, b, and c (Just the numbers) can be plugged into the quadratic formula to find the x-intercepts, roots, zeros, or solutions.

b)

1) no solutions, if the lines are parallel and have the same slope. 2) one solution, if the lines intersect at one point. 3) infinite many solutions, if the two equations are the same and touch each other everywhere.

c)

x/100 * 200 = 40. To solve you would divide by two hundred, then multiply by 100.

d)

Cancel or reduce if possible, then multiply straight across. Some people like to multiply straight across and then reduce. Either way, if you can reduce, you MUST REDUCE.

61.

Completing The Square

a)

Isolate x^2 + bx on one side, move the number to the other side of the equal sign. Take b, divide by 2, then square the result. Add that number to both side. It will then factor into a perfect square.

b)

Are subtracted from the cost of the item. To find the amount to subtract, multiply the cost by the item times the percent being discounted.

c)

EX. 2/3 * 1/3 = 2/9

d)

If you know what one variable equals, like y=35-10x, then you can plug that value in for y in the second equation,

62.

Maximum or Minimum

a)

Maximum is at the highest point of a parabola.

b)

1) no solutions, if the lines are parallel and have the same slope. 2) one solution, if the lines intersect at one point. 3) infinite many solutions, if the two equations are the same and touch each other everywhere.

c)

36/100 * 500 = x To solve you multiply 500 times 36/100.

d)

Counting numbers: 1, 2, 3, ......

63.

Minimum is the lowest point.

a)

undefined slope

b)

What number multiplies times itself 3 times to get the number under the house?

c)

Minimum is the lowest point.

d)

(y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.

64.

The Square Root Property to solve Quadratics

a)

y=k/x

b)

EX: 1/5 + 2/5 = 3/5

c)

To get rid of the exponent 2, you can take the square root of both sides. Remember the plus or minus symbol, which can give you two answers.

d)

Minimum is the lowest point.

65.

Solid or Dotted Line? Open or Closed Circle?

a)

If you know what one variable equals, like y=35-10x, then you can plug that value in for y in the second equation,

b)

If it has the line under it (or equal to) it will be a closed circle or solid line.

c)

Find one number that you can divide into both the numerator and denominator that is the same number. Then divide them both by that number.

d)

(2)(3.14) = 6.28....

66.

How to rearrange variables to solve for a specific variable.

a)

Solve A=P+PRT for T. You perform the opposite operation on each variable until you get the one you are solving for all by itself. Subtract P, then divide by P and R.

b)

Keep, Change, Flip! Then multiply fractions!

c)

the OUTPUT or RESULT in a situation or problem. It's the variable YOU CANNOT control. It's the Y variable. In a equation, its the variable BY ITSELF on one side of the = sign.

d)

It means what number multiplies times itself to get the number under the house.

67.

When do you flip an inequality symbol?

a)

undefined slope

b)

Anytime you multiply or divide by a negative number.

c)

Ex: f(x) = 3x + 4, solve for f(-2). All you do is replace the x with a (-2) and solve. 3(-2) +4 = -2

d)

Ax + By = C NO fractions, NO decimals, A has to be positive!

68.

Explain each step in solving an equation.

a)

You may have to list the steps you performed explaining what you did, step by step. Know how to justify your solutions.

b)

the steepness of the line

c)

2 or more equations or inequalities graphed on the same coordinate plane

d)

The way numbers are grouped is different, but the result is the same.

69.

How to solve absolute value inequalities?

a)

A line drawn through the points on a scatterplot to estimate the best line through the data.

b)

Follow the lines by answering questions until you get to your answer!

c)

Once the absolute value bars are on one side of the equal sign, by itself, you work two separate problems (1) Looks exactly the same as the original equation without the absolute value symbols. (2) Is the same on one side, but flip the inequality symbol and make the number negative.

d)

4x -7(35-10x)=-23. Distribute and solve for x. Then you can plug back in to one of the original equations to solve for y.

70.

Absolute value of a negative number. IxI = -3

a)

NO SOLUTION

b)

When the graph is doing two (or more) different functions depending on what the x-vales are. EX. If x<-1, then y=1. If x>(or equal to) -1, then y=x^2 -3

c)

Is another name for slope usually used in word problems.

d)

Factor out the number or variable that all the terms have in common.

71.

Factoring with 2 terms

a)

Slope

b)

Factor out the number or variable that all the terms have in common.

c)

Examples such as: C= 250 + 35m, Where C is the cost for renting a car. They pay $250 plus $35 for every extra mile they drive. You have to interpret what the numbers and variables mean in the form of a word problem.

d)

You have to get one of the variables to eliminate by getting them to be the same number just one positive and one negative, so they zero out.

72.

Factoring with 3 terms

a)

Comparing the individual data to the whole, represented as a percentage.

b)

The sum of two rational numbers is rational.

c)

Describes what is happening to the graph overall as the x-values change. As the x-values decrease, does the graph seem to go up or down? As the x-vales increase, does the graph seem to increase or decrease? This represents the end behavior as being positive or negative.

d)

ax^2 + bx + c = 0, where a=1

73.

(x )(x )=0 Find the two numbers that multiply to get you c, AND they add/sub to get you b. If asked to SOLVE by factoring, then set each factor equal to zero and solve.

a)

Counting numbers: 1, 2, 3, ......

b)

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

c)

(x )(x )=0 Find the two numbers that multiply to get you c, AND they add/sub to get you b. If asked to SOLVE by factoring, then set each factor equal to zero and solve.

d)

Over equal intervals, the y-values increase by multiplying or dividing by the same number each time.

74.

How to use the Discriminant when solving the Quadratic Formula?

a)

They are the same

b)

If the discriminant is positive, you will have 2 solutions or x-intercepts. If the discriminant is zero, you will have 1 solution or x-intercept. If the discriminant is negative, you will have No Solution (or really a complex solution (imaginary) in the form (a + bi)

c)

is more than, is greater than, is larger than, shade above, shade to the right

d)

The equations x=0 is the axis of symmetry for a parabola in standard form.

75.

Factoring with 4 terms

a)

Solve by grouping. Group two sets and then factor those two groups.

b)

15% can also be written as 0.15, or as 15/100 which then must be reduced to 3/20.

c)

A function that is not continuous. It has levels which represent the y-value for a set of x-values.

d)

You can solve for any of the variables when given the other 3. The rate is the percentage rate usually written as a decimal. EX. 13%= 0.13

76.

If y=f(x) and y=g(x), then.....

a)

3+6+9= 18 /3 = 6

b)

Ex: f(x) = 3x + 4, solve for f(-2). All you do is replace the x with a (-2) and solve. 3(-2) +4 = -2

c)

In standard form, ax^2 + bx + c, where a, b, and c (Just the numbers) can be plugged into the quadratic formula to find the x-intercepts, roots, zeros, or solutions.

d)

f(x) = g(x) meaning you can set the two equations equal to each other in order to solve for the variable. Then to find y you plug the variable back into one of the original equations and solve.

77.

Absolute Value when solving order of operations problems.

a)

Over equal intervals, the y-values increase by multiplying or dividing by the same number each time.

b)

Work any math that you need to within the absolute value bars. Then always give the positive of that number as the answer.

c)

the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

d)

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, etc. The resulting number when you multiply a number times itself. EX: 4 X 4 = 16

78.

SUBSTITUTION

a)

They are the same

b)

If it has the line under it (or equal to) it will be a closed circle or solid line.

c)

the x and y coordinates of a point on the coordinate plane (x,y)

d)

If you know what one variable equals, like y=35-10x, then you can plug that value in for y in the second equation,

79.

4x - 7y = -23 becomes

a)

the point where the graph crosses the x-axis. It has the coordinates (x, 0)

b)

4x - 7y = -23 becomes

c)

If it has the line under it (or equal to) it will be a closed circle or solid line.

d)

Exponents

80.

4x -7(35-10x)=-23. Distribute and solve for x. Then you can plug back in to one of the original equations to solve for y.

a)

(2)(3.14) = 6.28....

b)

4x -7(35-10x)=-23. Distribute and solve for x. Then you can plug back in to one of the original equations to solve for y.

c)

special relation where each x-value is paired with ONLY ONE y-value. (x-values DO NOT repeat, it passes the vertical line test)

d)

is more than, is greater than, is larger than, shade above, shade to the right

81.

ELIMINATION

a)

You have to get one of the variables to eliminate by getting them to be the same number just one positive and one negative, so they zero out.

b)

Are subtracted from the cost of the item. To find the amount to subtract, multiply the cost by the item times the percent being discounted.

c)

There are a bunch!

d)

is less than, is smaller than, shade below, shade to the left

82.

Sometimes in order to do this you have to multiply one or both of the equations by a number. Then add straight down and continue to solve.

a)

36/100 * 500 = x To solve you multiply 500 times 36/100.

b)

Sometimes in order to do this you have to multiply one or both of the equations by a number. Then add straight down and continue to solve.

c)

Add/Sub

d)

4x -7(35-10x)=-23. Distribute and solve for x. Then you can plug back in to one of the original equations to solve for y.

83.

The solution to a system of linear inequalities

a)

Follow the lines by answering questions until you get to your answer!

b)

3+6+9= 18 /3 = 6

c)

Let's you know where you should find most of your data.

d)

The intersection of the two half-planes.

84.

Interpret parts of an expression

a)

4x -7(35-10x)=-23. Distribute and solve for x. Then you can plug back in to one of the original equations to solve for y.

b)

It is an equation with a <, >, < or =, > or = in the place of the =.

c)

is more than, is greater than, is larger than, shade above, shade to the right

d)

Examples such as: C= 250 + 35m, Where C is the cost for renting a car. They pay $250 plus $35 for every extra mile they drive. You have to interpret what the numbers and variables mean in the form of a word problem.

85.

Use the structure of an expression to identify ways to rewrite it.

a)

the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

b)

Example: See x^4 - y^4 as (x^2)^2 - (y^2)^2, thus recognizing it as the difference of two squares that can be factored as (x^2-y^2)(x^2+y^2).

c)

x/100 * 200 = 40. To solve you would divide by two hundred, then multiply by 100.

d)

and is still an irrational number.

86.

Percents

a)

Subtract

b)

Factor out the number or variable that all the terms have in common.

c)

The sum of two rational numbers is rational.

d)

15% can also be written as 0.15, or as 15/100 which then must be reduced to 3/20.

87.

Compound Interest Formula

a)

NO SOLUTION

b)

A=(P+r/n)^nt

c)

Work any math that you need to within the absolute value bars. Then always give the positive of that number as the answer.

d)

Follow the lines by answering questions until you get to your answer!

88.

Common n values are 12=monthly, 4=quarterly, 2=semiannually, 1=annually.

a)

Common n values are 12=monthly, 4=quarterly, 2=semiannually, 1=annually.

b)

What number multiplies times itself 3 times to get the number under the house?

c)

When the data is put in order from smallest to largest, it is the number in the middle. If there are two numbers in the middle, you add them together then divide by 2. (You take their average)

d)

Over equal intervals, the y-values increase by multiplying or dividing by the same number each time.

89.

t is the time in years.

a)

Once the absolute value bars are on one side of the equal sign, by itself, you work two separate problems (1) Looks exactly the same as the original equation without the absolute value symbols. (2) Is the same on one side, but flip the inequality symbol and make the number negative.

b)

36/100 * 500 = x To solve you multiply 500 times 36/100.

c)

t is the time in years.

d)

Start with 0, 1, 2, ......

90.

Simple Interest Formula

a)

Find one number that you can divide into both the numerator and denominator that is the same number. Then divide them both by that number.

b)

You can solve for any of the variables when given the other 3. The rate is the percentage rate usually written as a decimal. EX. 13%= 0.13

c)

is more than, is greater than, is larger than, shade above, shade to the right

d)

A whole number, both positive and negative numbers, including zero.

91.

Sales Tax

a)

ax^2 + bx + c = 0, where a=1

b)

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

c)

Example: See x^4 - y^4 as (x^2)^2 - (y^2)^2, thus recognizing it as the difference of two squares that can be factored as (x^2-y^2)(x^2+y^2).

d)

moves the line up or down the y-axis.

92.

y= and f(x)=

a)

These are the same. They can be interchanged with one another. f(x) simply lets you know the equation is a function. Can also be written with other variables like g(x), p(x), etc.

b)

Divide the numerator by the denominator. 1/4 = 1 divided by 4 = 0.25

c)

Know your decimal places. Tenths, hundredths, thousandths. 0.36 say "36 hundredths" So you write the fraction 36/100. Then reduce divide top and bottom by 4 to get 9/25.

d)

To get rid of the exponent 2, you can take the square root of both sides. Remember the plus or minus symbol, which can give you two answers.

93.

Discounts

a)

You can solve for any of the variables when given the other 3. The rate is the percentage rate usually written as a decimal. EX. 13%= 0.13

b)

Are subtracted from the cost of the item. To find the amount to subtract, multiply the cost by the item times the percent being discounted.

c)

How many times will the denominator go into the numerator without going over. Then how many little pieces are left over.

d)

Find the change in y-values, then divide by the change in x-values.

94.

How to solve when written in function notation.

a)

Keep, Change, Flip! Then multiply fractions!

b)

Joint is the individual data in the middle. Marginal is the sum of the data for each row or column.

c)

Ex: f(x) = 3x + 4, solve for f(-2). All you do is replace the x with a (-2) and solve. 3(-2) +4 = -2

d)

y=k/x

95.

Geometric Sequences

a)

There is a pattern in which you multiply or divide by a common number.

b)

A bar graph that has a range of values on the x-axis. In the example, each bar represents an age range of 5 years.

c)

CORRELATION is just a recognizable pattern: EX. In the summer ice cream sales increase and so do the number of shark attacks. CAUSATION is the reason something occurs: EX. The number of ice cream sales is NOT the cause for the increase of shark attacks.

d)

Are subtracted from the cost of the item. To find the amount to subtract, multiply the cost by the item times the percent being discounted.

96.

How to tell when a function is increasing or decreasing?

a)

Set up a proportion and solve.

b)

Always read a graph from left to right, just like the words on a page. If it goes up, it is increasing. If it goes down, it is decreasing.

c)

You have to have a common denominator.

d)

where the lines touch or cross

97.

Axis of Symmetry

a)

y=k/x

b)

Example: See x^4 - y^4 as (x^2)^2 - (y^2)^2, thus recognizing it as the difference of two squares that can be factored as (x^2-y^2)(x^2+y^2).

c)

Isolate x^2 + bx on one side, move the number to the other side of the equal sign. Take b, divide by 2, then square the result. Add that number to both side. It will then factor into a perfect square.

d)

The equations x=0 is the axis of symmetry for a parabola in standard form.

98.

End Behavior

a)

the point where the graph crosses the y-axis. It has the coordinates (0, y)

b)

When the data is put in order from smallest to largest, it is the number in the middle. If there are two numbers in the middle, you add them together then divide by 2. (You take their average)

c)

SUBTRACT them

d)

Describes what is happening to the graph overall as the x-values change. As the x-values decrease, does the graph seem to go up or down? As the x-vales increase, does the graph seem to increase or decrease? This represents the end behavior as being positive or negative.

99.

Calculate and interpret the average rate of change (symbolically or from a table)

a)

NOT A NUMBER. A letter or symbol that stands for a number.

b)

How fast is it changing? Sometimes you find out how much each one changes, then take their average.

c)

Add up all the data points, then divide by however many data points there were. Ex. 3,6,9

d)

There is a pattern in which you multiply or divide by a common number.

100.

Identify the effects of k on the graph y=f(x)

a)

Multiply a number or variable to everyone inside parenthesis.

b)

y=f(x) + k moves the graph up k units or down k units.

c)

In standard form, ax^2 + bx + c, where a, b, and c (Just the numbers) can be plugged into the quadratic formula to find the x-intercepts, roots, zeros, or solutions.

d)

Factor out the number or variable that all the terms have in common.

101.

y=f(x+k) moves the graph right if k is negative OR left if k is positive. Remember this is opposite of what's on the number line.

a)

Always read a graph from left to right, just like the words on a page. If it goes up, it is increasing. If it goes down, it is decreasing.

b)

ADD them

c)

y=f(x+k) moves the graph right if k is negative OR left if k is positive. Remember this is opposite of what's on the number line.

d)

domain, independent variable, input

102.

y=k f(x) vertical stretch if k is bigger than 1 and a vertical compression if k is less than 1.

a)

n - 7 You subtract 7 from the number.

b)

There are a bunch!

c)

A data point that does not fit in with the rest of the data.

d)

y=k f(x) vertical stretch if k is bigger than 1 and a vertical compression if k is less than 1.

103.

Estimate the Rate of Change from a graph

a)

y = x

b)

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, etc. The resulting number when you multiply a number times itself. EX: 4 X 4 = 16

c)

Add up all the data points, then divide by however many data points there were. Ex. 3,6,9

d)

Find the change in y-values, then divide by the change in x-values.

104.

Piecewise-defined function Graph

a)

Sometimes in order to do this you have to multiply one or both of the equations by a number. Then add straight down and continue to solve.

b)

Solve A=P+PRT for T. You perform the opposite operation on each variable until you get the one you are solving for all by itself. Subtract P, then divide by P and R.

c)

When the graph is doing two (or more) different functions depending on what the x-vales are. EX. If x<-1, then y=1. If x>(or equal to) -1, then y=x^2 -3

d)

n - 7 You subtract 7 from the number.

105.

Step-Function Graph

a)

Subtract

b)

the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

c)

Multiply/Divide

d)

A function that is not continuous. It has levels which represent the y-value for a set of x-values.

106.

Distinguish between situations that can be modeled with linear functions and with exponential functions.

a)

A number between -1 and 1 that tells you if you have a strong or weak correlation. It also lets you know if it is a positive or negative correlation.

b)

0.25 * x = 150. To solve you divide by 0.25.

c)

set of all the possible y-values. OUTPUTS

d)

A linear function would be best for situation in which something is increasing at a constant rate. An exponential function is best for situations in which the rate increase over time. EX. The growth of bacteria cells in a petri dish would be exponential growth.

107.

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal description.

a)

domain, independent variable, input

b)

Divide

c)

For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

d)

exponential functions > quadratic functions > linear functions

108.

Linear functions

a)

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

b)

15% can also be written as 0.15, or as 15/100 which then must be reduced to 3/20.

c)

Over equal intervals, the y-values increase by adding or subtracting the same number each time. *Note that the slope in the example would be 3/1= 3

d)

Example: See x^4 - y^4 as (x^2)^2 - (y^2)^2, thus recognizing it as the difference of two squares that can be factored as (x^2-y^2)(x^2+y^2).

109.

Exponential functions y=2^x Where the variable is the exponent.

a)

When talking about data sets, make sure the numbers are in order from smallest to largest, to find the RANGE you SUBTRACT the smallest from the largest.

b)

Over equal intervals, the y-values increase by multiplying or dividing by the same number each time.

c)

0.25 * x = 150. To solve you divide by 0.25.

d)

y = x

110.

Arithmetic Sequence

a)

If you know what one variable equals, like y=35-10x, then you can plug that value in for y in the second equation,

b)

The number that shows up the MOST

c)

A pattern in which you add a number each time.

d)

an equation of function that has "x-squared" as its highest order exponent.

111.

Geometric Sequence

a)

Find the change in y-values, then divide by the change in x-values.

b)

Solve A=P+PRT for T. You perform the opposite operation on each variable until you get the one you are solving for all by itself. Subtract P, then divide by P and R.

c)

where the lines touch or cross

d)

A pattern in which you multiply or divide each term by the same number.

112.

Which quantity increases fastest?

a)

set of all the possible y-values. OUTPUTS

b)

exponential functions > quadratic functions > linear functions

c)

Keep, Change, Flip! Then multiply fractions!

d)

The equations x=0 is the axis of symmetry for a parabola in standard form.

113.

The sum of two rational numbers is rational.

a)

domain, independent variable, input

b)

The sum of two rational numbers is rational.

c)

EX. 2/3 * 1/3 = 2/9

d)

Ax + By = C NO fractions, NO decimals, A has to be positive!

114.

The product of two rational numbers is rational

a)

y=k/x

b)

Isolate x^2 + bx on one side, move the number to the other side of the equal sign. Take b, divide by 2, then square the result. Add that number to both side. It will then factor into a perfect square.

c)

Sometimes in order to do this you have to multiply one or both of the equations by a number. Then add straight down and continue to solve.

d)

The product of two rational numbers is rational

115.

A rational number is any number that can be written as a fraction. Whole numbers are rational numbers because the number 2 can be written as 2/1.

a)

EX: 1/5 + 2/5 = 3/5

b)

Add/Sub

c)

The product of two rational numbers is rational

d)

A data point that does not fit in with the rest of the data.

116.

EX. 2/3 * 1/3 = 2/9

a)

mathmatical terms that have the SAME variables raised to the SAME exponents.

b)

EX. 2/3 * 1/3 = 2/9

c)

data appears as individual points on a graph. Whatever is being graphed cannot be broken down in to smaller pieces.

d)

Counting numbers: 1, 2, 3, ......

117.

The sum of a rational number and an irrational number is irrational.

a)

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

b)

slope = 0

c)

The sum of a rational number and an irrational number is irrational.

d)

is less than, is smaller than, shade below, shade to the left

118.

An irrational number is one that has decimal places that keep going forever such as pi= 3.14......

a)

a relation is a function and passes the vertical line test if when a vertical line is drawn through the graph, it touches the graph only ONE time.

b)

2 + 3.14.... = 5.14....

c)

sqrt(9) = 3

d)

Sometimes in order to do this you have to multiply one or both of the equations by a number. Then add straight down and continue to solve.

119.

and is still an irrational number.

a)

A function that is not continuous. It has levels which represent the y-value for a set of x-values.

b)

... ,-3, -2, -1, 0, 1, 2, 3, ......

c)

and is still an irrational number.

d)

There is a pattern in which you multiply or divide by a common number.

120.

The product of a rational number(other than zero) and an irrational number is irrational

a)

The intersection of the two half-planes.

b)

When two fractions are set EQUAL to one another. This is the only times you Cross multiply!

c)

Multiply/Divide

d)

(2)(3.14) = 6.28....

121.

(rational)(irrational) = irrational

a)

(rational)(irrational) = irrational

b)

7<n

c)

Comparing the individual data to the whole, represented as a percentage.

d)

y = 1/x. As one quantity increases, the other decreases

122.

Rate of Change

a)

Multiply a number or variable to everyone inside parenthesis.

b)

the point where the graph crosses the y-axis. It has the coordinates (0, y)

c)

They are opposite and fraction is flipped. Example: lines with the slopes -2 and 1/2 are perpendicular.

d)

Is another name for slope usually used in word problems.

123.

Correlation

a)

15% can also be written as 0.15, or as 15/100 which then must be reduced to 3/20.

b)

Positive Correlation, Negative Correlation, or No Correlation.

c)

1) no solutions, if the lines are parallel and have the same slope. 2) one solution, if the lines intersect at one point. 3) infinite many solutions, if the two equations are the same and touch each other everywhere.

d)

A bar graph that has a range of values on the x-axis. In the example, each bar represents an age range of 5 years.

124.

Correlation Coefficient

a)

The intersection of the two half-planes.

b)

A number between -1 and 1 that tells you if you have a strong or weak correlation. It also lets you know if it is a positive or negative correlation.

c)

Find the change in y-values, then divide by the change in x-values.

d)

the point where the graph crosses the y-axis. It has the coordinates (0, y)

125.

Correlation vs. Causation

a)

CORRELATION is just a recognizable pattern: EX. In the summer ice cream sales increase and so do the number of shark attacks. CAUSATION is the reason something occurs: EX. The number of ice cream sales is NOT the cause for the increase of shark attacks.

b)

Factor out the number or variable that all the terms have in common.

c)

the point where the graph crosses the y-axis. It has the coordinates (0, y)

d)

The sum of a rational number and an irrational number is irrational.

126.

Dot plot

a)

y = mx, or y = ax, or y = kx. m, a, or k is just the coefficient in front of the x. They are also the SLOPE of the direct variation line. Direct variation lines have a y-intercept ot (0, 0)

b)

Each x or dot represent one person that has that number of pets. EX: One person has 5 pets.

c)

4x - 7y = -23 becomes

d)

Find the change in y-values, then divide by the change in x-values.

127.

Histogram

a)

the point where the graph crosses the x-axis. It has the coordinates (x, 0)

b)

the x and y coordinates of a point on the coordinate plane (x,y)

c)

Anytime you multiply or divide by a negative number.

d)

A bar graph that has a range of values on the x-axis. In the example, each bar represents an age range of 5 years.

128.

Box Plots

a)

15% can also be written as 0.15, or as 15/100 which then must be reduced to 3/20.

b)

Make sure the numbers are in order from least to greatest. Find the median, the Q1 and Q3 by finding the median again of the upper and lower sections.

c)

CORRELATION is just a recognizable pattern: EX. In the summer ice cream sales increase and so do the number of shark attacks. CAUSATION is the reason something occurs: EX. The number of ice cream sales is NOT the cause for the increase of shark attacks.

d)

Over equal intervals, the y-values increase by multiplying or dividing by the same number each time.

129.

Interquartile Range

a)

0.25 * x = 150. To solve you divide by 0.25.

b)

Q3 - Q1

c)

y = 1/x. As one quantity increases, the other decreases

d)

y = x

130.

Normal Bell Curve

a)

domain, independent variable, input

b)

It is an equation with a <, >, < or =, > or = in the place of the =.

c)

Start with 0, 1, 2, ......

d)

Let's you know where you should find most of your data.

131.

Skewed Bell Curve

a)

These are the same. They can be interchanged with one another. f(x) simply lets you know the equation is a function. Can also be written with other variables like g(x), p(x), etc.

b)

The sum of two rational numbers is rational.

c)

Know your decimal places. Tenths, hundredths, thousandths. 0.36 say "36 hundredths" So you write the fraction 36/100. Then reduce divide top and bottom by 4 to get 9/25.

d)

When the data is not evenly distributed.

132.

Standard Deviation

a)

CORRELATION is just a recognizable pattern: EX. In the summer ice cream sales increase and so do the number of shark attacks. CAUSATION is the reason something occurs: EX. The number of ice cream sales is NOT the cause for the increase of shark attacks.

b)

When using a bell curve to represent data, the standard deviation tells you how far away a number is from the center of the data.

c)

A way to represent ordered pairs.

d)

7<n

133.

Outliers

a)

undefined slope

b)

A data point that does not fit in with the rest of the data.

c)

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

d)

the point where the graph crosses the x-axis. It has the coordinates (x, 0)

134.

Two-way Frequency tables and Relative Frequency Tables

a)

When the data is put in order from smallest to largest, it is the number in the middle. If there are two numbers in the middle, you add them together then divide by 2. (You take their average)

b)

You may have to list the steps you performed explaining what you did, step by step. Know how to justify your solutions.

c)

Common n values are 12=monthly, 4=quarterly, 2=semiannually, 1=annually.

d)

Comparing more than one thing in a table. Use the information in a table to answer questions.

135.

Joint and Marginal Frequencies

a)

When using a bell curve to represent data, the standard deviation tells you how far away a number is from the center of the data.

b)

Joint is the individual data in the middle. Marginal is the sum of the data for each row or column.

c)

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, etc. The resulting number when you multiply a number times itself. EX: 4 X 4 = 16

d)

Multiply/Divide

136.

Conditional Relative Frequencies

a)

Add up all the data points, then divide by however many data points there were. Ex. 3,6,9

b)

Comparing the individual data to the whole, represented as a percentage.

c)

If it has the line under it (or equal to) it will be a closed circle or solid line.

d)

the OUTPUT or RESULT in a situation or problem. It's the variable YOU CANNOT control. It's the Y variable. In a equation, its the variable BY ITSELF on one side of the = sign.

137.

Associative Property

a)

The sum of a rational number and an irrational number is irrational.

b)

The way numbers are grouped is different, but the result is the same.

c)

Radical is the square root symbol.

d)

Parenthesis

138.

Distributive Property

a)

With addition and multiplication, it does not matter what order the numbers are written, you still get the same result.

b)

Always read a graph from left to right, just like the words on a page. If it goes up, it is increasing. If it goes down, it is decreasing.

c)

Know your decimal places. Tenths, hundredths, thousandths. 0.36 say "36 hundredths" So you write the fraction 36/100. Then reduce divide top and bottom by 4 to get 9/25.

d)

Multiply a number or variable to everyone inside parenthesis.

139.

Communitive Property

a)

y1/x1 = y2/x2

b)

a relation is a function and passes the vertical line test if when a vertical line is drawn through the graph, it touches the graph only ONE time.

c)

Parenthesis

d)

With addition and multiplication, it does not matter what order the numbers are written, you still get the same result.

140.

Product

a)

Examples such as: C= 250 + 35m, Where C is the cost for renting a car. They pay $250 plus $35 for every extra mile they drive. You have to interpret what the numbers and variables mean in the form of a word problem.

b)

Add/Sub

c)

set of all of the possible x-values. INPUTS

d)

Multiply

141.

Sum

a)

Joint is the individual data in the middle. Marginal is the sum of the data for each row or column.

b)

Is another name for slope usually used in word problems.

c)

Make sure the numbers are in order from least to greatest. Find the median, the Q1 and Q3 by finding the median again of the upper and lower sections.

d)

Add

142.

Difference

a)

Subtract

b)

the x and y coordinates of a point on the coordinate plane (x,y)

c)

If the discriminant is positive, you will have 2 solutions or x-intercepts. If the discriminant is zero, you will have 1 solution or x-intercept. If the discriminant is negative, you will have No Solution (or really a complex solution (imaginary) in the form (a + bi)

d)

the point where the graph crosses the x-axis. It has the coordinates (x, 0)

143.

Quotient

a)

Q3 - Q1

b)

Over equal intervals, the y-values increase by multiplying or dividing by the same number each time.

c)

Divide

d)

f(x) = g(x) meaning you can set the two equations equal to each other in order to solve for the variable. Then to find y you plug the variable back into one of the original equations and solve.

144.

PEMDAS "Order of Operations"

a)

set of all of the possible x-values. INPUTS

b)

The product of two rational numbers is rational

c)

A way to represent ordered pairs.

d)

Parenthesis

145.

Exponents

a)

and is still an irrational number.

b)

y=mx +b

c)

Solve by grouping. Group two sets and then factor those two groups.

d)

Exponents

146.

Multiply/Divide

a)

It means what number multiplies times itself to get the number under the house.

b)

0.25 * x = 150. To solve you divide by 0.25.

c)

Bubbles that represent the x-values and the y-values.

d)

Multiply/Divide

147.

Add/Sub

a)

the point where the graph crosses the x-axis. It has the coordinates (x, 0)

b)

If it has the line under it (or equal to) it will be a closed circle or solid line.

c)

range, dependent variable, output

d)

Add/Sub

148.

36% of 500 is what?

a)

If the discriminant is positive, you will have 2 solutions or x-intercepts. If the discriminant is zero, you will have 1 solution or x-intercept. If the discriminant is negative, you will have No Solution (or really a complex solution (imaginary) in the form (a + bi)

b)

If it has the line under it (or equal to) it will be a closed circle or solid line.

c)

The sum of a rational number and an irrational number is irrational.

d)

36/100 * 500 = x To solve you multiply 500 times 36/100.

149.

What percent of 200 is 40?

a)

Add up all the data points, then divide by however many data points there were. Ex. 3,6,9

b)

x/100 * 200 = 40. To solve you would divide by two hundred, then multiply by 100.

c)

When the data is not evenly distributed.

d)

(x )(x )=0 Find the two numbers that multiply to get you c, AND they add/sub to get you b. If asked to SOLVE by factoring, then set each factor equal to zero and solve.

150.

25% of what is 150?

a)

You have to get one of the variables to eliminate by getting them to be the same number just one positive and one negative, so they zero out.

b)

With addition and multiplication, it does not matter what order the numbers are written, you still get the same result.

c)

0.25 * x = 150. To solve you divide by 0.25.

d)

Keep, Change, Flip! Then multiply fractions!

151.

Seven "less than" a number

a)

y=mx +b

b)

a relation is a function and passes the vertical line test if when a vertical line is drawn through the graph, it touches the graph only ONE time.

c)

n - 7 You subtract 7 from the number.

d)

Add up all the data points, then divide by however many data points there were. Ex. 3,6,9

152.

Seven "is less than" a number

a)

mathmatical terms that have the SAME variables raised to the SAME exponents.

b)

range, dependent variable, output

c)

7<n

d)

Round to the nearest TENTH means you keep ONE decimal place EX 0.5648 rounds to 0.6 The 6 behind the five tells the 5 to go up. Round to the nearest HUNDRETH means to keep TWO decimal places EX 0.56 The 4 tells the 6 to stay the same.

153.

3 "more than" a number

a)

Is added on to the cost of the item. To find the amount to add, multiply the cost of the item by the percent of tax.

b)

They are the same

c)

x/100 * 200 = 40. To solve you would divide by two hundred, then multiply by 100.

d)

n + 3 Add 3 to the number

154.

3 "is more than" a number

a)

the steepness of a line, vertical change/horizontal change, (y-y)/(x-x), rise over run

b)

Comparing the individual data to the whole, represented as a percentage.

c)

3>n

d)

Keep, Change, Flip! Then multiply fractions!

155.

Simplifying Radicals

a)

mathmatical terms that have the SAME variables raised to the SAME exponents.

b)

They are opposite and fraction is flipped. Example: lines with the slopes -2 and 1/2 are perpendicular.

c)

Radical is the square root symbol.

d)

3>n

156.

sqrt(20) = sqrt(4*5) = 2 sqrt (5)

a)

They are opposite and fraction is flipped. Example: lines with the slopes -2 and 1/2 are perpendicular.

b)

sqrt(20) = sqrt(4*5) = 2 sqrt (5)

c)

Positive Correlation, Negative Correlation, or No Correlation.

d)

is less than, is smaller than, shade below, shade to the left

157.

Mixed Number to Improper Fractions

a)

When the data is not evenly distributed.

b)

Multiply, then add! Keep the same denominator.

c)

is more than, is greater than, is larger than, shade above, shade to the right

d)

(y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.

158.

Improper Fractions to Mixed Numbers

a)

t is the time in years.

b)

y=k f(x) vertical stretch if k is bigger than 1 and a vertical compression if k is less than 1.

c)

A bar graph that has a range of values on the x-axis. In the example, each bar represents an age range of 5 years.

d)

How many times will the denominator go into the numerator without going over. Then how many little pieces are left over.

159.

Fractions to Decimals

a)

set of all the possible y-values. OUTPUTS

b)

You have to get one of the variables to eliminate by getting them to be the same number just one positive and one negative, so they zero out.

c)

Divide the numerator by the denominator. 1/4 = 1 divided by 4 = 0.25

d)

an equation of function that has "x-squared" as its highest order exponent.

160.

Decimals to Fractions

a)

The product of two rational numbers is rational

b)

Know your decimal places. Tenths, hundredths, thousandths. 0.36 say "36 hundredths" So you write the fraction 36/100. Then reduce divide top and bottom by 4 to get 9/25.

c)

y = x

161.

Rounding Rules

a)

When two fractions are set EQUAL to one another. This is the only times you Cross multiply!

b)

Round to the nearest TENTH means you keep ONE decimal place EX 0.5648 rounds to 0.6 The 6 behind the five tells the 5 to go up. Round to the nearest HUNDRETH means to keep TWO decimal places EX 0.56 The 4 tells the 6 to stay the same.

c)

Make sure the numbers are in order from least to greatest. Find the median, the Q1 and Q3 by finding the median again of the upper and lower sections.

d)

the x and y coordinates of a point on the coordinate plane (x,y)

162.

How do you solve Proportions?

a)

When two fractions are set EQUAL to one another. This is the only times you Cross multiply!

b)

the steepness of the line

c)

A pattern in which you add a number each time.

d)

slope

163.

Exponent Rules

a)

y1/x1 = y2/x2

b)

domain, independent variable, input

c)

There are a bunch!

d)

Follow the lines by answering questions until you get to your answer!

164.

Perfect Squares

a)

y1/x1 = y2/x2

b)

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, etc. The resulting number when you multiply a number times itself. EX: 4 X 4 = 16

c)

A=(P+r/n)^nt

d)

Exponents

165.

Square Root

a)

The way numbers are grouped is different, but the result is the same.

b)

is more than, is greater than, is larger than, shade above, shade to the right

c)

Follow the lines by answering questions until you get to your answer!

d)

sqrt(9) = 3

166.

It means what number multiplies times itself to get the number under the house.

a)

... ,-3, -2, -1, 0, 1, 2, 3, ......

b)

It means what number multiplies times itself to get the number under the house.

c)

A bar graph that has a range of values on the x-axis. In the example, each bar represents an age range of 5 years.

d)

Radical is the square root symbol.

167.

Cube Root

a)

What number multiplies times itself 3 times to get the number under the house?

b)

t is the time in years.

c)

Add/Sub

d)

data appears as individual points on a graph. Whatever is being graphed cannot be broken down in to smaller pieces.

168.

Slope-intercept form

a)

How many times will the denominator go into the numerator without going over. Then how many little pieces are left over.

b)

NOT A NUMBER. A letter or symbol that stands for a number.

c)

15% can also be written as 0.15, or as 15/100 which then must be reduced to 3/20.

d)

y=mx +b

169.

Point-Slope Form

a)

(y - y*) = m (x - x*) When given a point and the slope, plug in the m, x, and y into the equation. You can then convert it into slope-intercept form to find the graph of the line.

b)

Find the change in y-values, then divide by the change in x-values.

c)

y = x

d)

Multiply

170.

Standard Form of a line

a)

the x and y coordinates of a point on the coordinate plane (x,y)

b)

When the data is put in order from smallest to largest, it is the number in the middle. If there are two numbers in the middle, you add them together then divide by 2. (You take their average)

c)

Ax + By = C NO fractions, NO decimals, A has to be positive!

d)

y = 1/x. As one quantity increases, the other decreases

171.

Direct Variation

a)

and is still an irrational number.

b)

y=f(x) + k moves the graph up k units or down k units.

c)

Set up a proportion and solve.

d)

The sum of a rational number and an irrational number is irrational.

172.

y1/x1 = y2/x2

a)

y1/x1 = y2/x2

b)

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, etc. The resulting number when you multiply a number times itself. EX: 4 X 4 = 16

c)

There are a bunch!

d)

a plane formed by 2 perpendicular lines called axes (the x-axis goes sided to side, the y-axis goes up and down).

173.

Inverse Variation

a)

Is another name for slope usually used in word problems.

b)

y=k/x

c)

Find one number that you can divide into both the numerator and denominator that is the same number. Then divide them both by that number.

d)

the INPUT or CAUSE in a situation or problem. It's the variable YOU CAN control. It's the X variable.

174.

Flow Charts

a)

Multiply a number or variable to everyone inside parenthesis.

b)

Follow the lines by answering questions until you get to your answer!

c)

Add their coefficients.

d)

mathmatical terms that have the SAME variables raised to the SAME exponents.

Algebra 1 EOC

Total questions: 174

Worksheet time: 1hrs 27mins

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