Free Printable Algebra Regents Vocab

1.

Sum

a)

is the total amount resulting from adding two or more numbers

b)

is the remainder left after subtracting one value from another

c)

is the quantity resulting from multiplying numbers together

d)

is the result obtained from dividing two numbers

2.

Difference

a)

is the total amount resulting from adding two or more numbers

b)

is the remainder left after subtracting one value from another

c)

is the quantity resulting from multiplying numbers together

d)

is the result obtained from dividing two numbers

3.

Product

a)

is the total amount resulting from adding two or more numbers

b)

is the remainder left after subtracting one value from another

c)

is the quantity resulting from multiplying numbers together

d)

is the result obtained from dividing two numbers

4.

Quotient

a)

is the total amount resulting from adding two or more numbers

b)

is the remainder left after subtracting one value from another

c)

is the quantity resulting from multiplying numbers together

d)

is the result obtained from dividing two numbers

5.

A term is:

a)

The 8 in 8x

b)

The x in 9x

c)

The x in x + 3

d)

The 5 in $x^5+7-2x$

6.

A term is:

a)

8 and $-3x^2$ in $8-3x^2$

b)

7 in the $7x^2-7$

c)

5 - 2

d)

The 5 in $x^5+7-2x$

7.

One of two or more "things" that, when multiplied together, produce a given product

a)

5 - 3

b)

5/2

c)

(x+3)(x-2)

d)

x + 7

8.

Factor

a)

One of two or more "things" that, when multiplied together, produce a given product.

b)

a term that can be a number, variable, or product of numbers and variables. Each "thing" of an algebraic expression is separated by addition or subtraction.

c)

operations that "undo" each other.

d)

adding the same value to both sides of an equation that allows the equation to remain equal.

9.

Inverse Operations

a)

One of two or more "things" that, when multiplied together, produce a given product.

b)

a term that can be a number, variable, or product of numbers and variables. Each "thing" of an algebraic expression is separated by addition or subtraction.

c)

operations that "undo" each other. Ex: addition and subtraction 7 + 3 = 10, and 10 - 3 =7.

d)

adding the same value to both sides of an equation that allows the equation to remain equal.

10.

Addition Property of Equality

a)

adding the same value to both sides of an equation to maintain equality

b)

subtracting the same value to both sides of an equation to maintain equality

c)

multiplying the entire equation (all terms) by the same value in order to maintain balance

d)

dividing the entire equation (all terms) by the same value in order to maintain balance

11.

Subtraction Property of Equality

a)

adding the same value to both sides of an equation to maintain equality

b)

subtracting the same value to both sides of an equation to maintain equality

c)

multiplying the entire equation (all terms) by the same value in order to maintain balance

d)

dividing the entire equation (all terms) by the same value in order to maintain balance

12.

Multiplication Property of Equality

a)

adding the same value to both sides of an equation to maintain equality

b)

subtracting the same value to both sides of an equation to maintain equality

c)

multiplying the entire equation (all terms) by the same value in order to maintain balance

d)

dividing the entire equation (all terms) by the same value in order to maintain balance

13.

Division Property of Equality

a)

adding the same value to both sides of an equation to maintain equality

b)

subtracting the same value to both sides of an equation to maintain equality

c)

multiplying the entire equation (all terms) by the same value in order to maintain balance

d)

dividing the entire equation (all terms) by the same value in order to maintain balance

14.

Associative Property of Addition

a)

3 + (4 + 5) = (3 + 4) + 5

b)

3 x (4 x 5) = (3 x 4) x 5

c)

3 + 4 = 4 + 3

d)

3 x 4 = 4 x 3

15.

Commutative Property of Addition

a)

3 + (4 + 5) = (3 + 4) + 5

b)

3 x (4 x 5) = (3 x 4) x 5

c)

3 + 4 = 4 + 3

d)

3 x 4 = 4 x 3

16.

Commutative Property of Multiplication

a)

3 + (4 + 5) = (3 + 4) + 5

b)

3 x (4 x 5) = (3 x 4) x 5

c)

3 + 4 = 4 + 3

d)

3 x 4 = 4 x 3

17.

Constant

a)

any term in an algebraic expression that never changes regardless of the value of any of the variable in the expression. $Ex:\ 3x^2$

b)

any term in an algebraic expression that never changes regardless of the value of any of the variable in the expression. $Ex:\ 8x$

c)

any term in an algebraic expression that never changes regardless of the value of any of the variable in the expression. $Ex:\ x$

d)

any term in an algebraic expression that never changes regardless of the value of any of the variable in the expression. $Ex:\ 8$

18.

Degree

a)

7 in $7x^2+3x-5$

b)

x in $7x^2+3x-5$

c)

-5 in $7x^2+3x-5$

d)

2 in $7x^2+3x-5$

19.

Coefficient

a)

the number in front of the variable

b)

the degree of a variable or number

c)

two terms

d)

a number

20.

Leading Coefficient

a)

the number in front of the variable with the largest degree (exponent)

b)

the number in front of the variable

c)

an algebraic expression using two terms

d)

a number

21.

An expression consisting of two terms. (binomial)

a)

$3$

b)

$x^4-4x+2$

c)

$x+3$

d)

$x^7-2x+7y$

22.

An algebraic expression where the terms are written in descending order from highest exponent to lowest exponent. (standard form)

a)

$4x-3+4x^3$

b)

$x^4-4x+2$

c)

$3+x$

d)

$x^7-2x+7x^3-12$

23.

Reciprocal: when the product of the expression and its original quantity is always 1.

a)

$\frac{3}{3}\times\frac{1}{3}$

b)

$\frac{1}{3}\times\frac{1}{3}$

c)

$\frac{1}{3}\times\frac{3}{1}$

d)

$\frac{3}{1}\times\frac{3}{1}$

24.

Rational

a)

any number that can be written as a faction.

b)

any number that can never be written as a fraction

c)

taking the square root of a number

d)

taking the square root of a number

25.

Rational

a)

$\sqrt{7}$

b)

$\frac{27}{\sqrt{9}}$

c)

$\pi$

d)

$\frac{\sqrt{25}}{\sqrt{17}}$

26.

Irrational

a)

$\frac{\sqrt{69}}{\sqrt{69}}$

b)

$\frac{27}{\sqrt{9}}$

c)

$\frac{\pi}{\pi}$

d)

$\frac{\sqrt{25}}{\sqrt{17}}$

27.

Irrational

a)

any number that can be written as a faction.

b)

any number that can never be written as a fraction

c)

taking the square root of a number

d)

taking the square root of a number

28.

Taking the square root of a number is the opposite of squaring that number (multiplying that number by itself)

a)

$\sqrt{27}=\sqrt{9}\times\sqrt{3}$

b)

$\sqrt{144}=12$

c)

$12^2=144$

d)

$\sqrt{144}=+-12$

29.

Taking the cube root of a number is the opposite of cubing that number (multiplying that number by itself three times)

a)

$3\sqrt{125}=+-5$

b)

$10^3=1000$

c)

$3\sqrt{-125}=-5$

d)

$3\sqrt{-125}=5$

30.

the set of all possible input (x) values for a function

a)

range

b)

domain

31.

What is the domain of $y=\left(x+1\right)^2$

a)

all real values of x such that $x\ne-1$

b)

all real values of x such that $x\ge-1$

c)

all real values of x such that $x\ne0$

d)

all real values of x

32.

Range

a)

all possible values of x (inputs)

b)

all possible values of y (outputs)

33.

What is the range?

a)

$-8\le f\left(x\right)\le-4$

b)

$-2\le f\left(x\right)\le9$

c)

$-9\le f\left(x\right)\le-2$

d)

$-9\le f\left(x\right)\le9$

34.

Radicand

a)

the type of root

b)

the value of a variable that makes an equation true

c)

the number under the root (square, cube, etc.)

35.

Radicand

a)

5 in $5\sqrt{3}$

b)

3 in $5\sqrt{3}$

36.

Input

a)

a set of numbers that are acted on by a function. (what you plug in)

b)

a set of numbers that are determined by how a functions acts on it. (what you get out)

c)

a special relationship where each input has a single output

d)

a unique way of writing a function

37.

output

a)

a set of numbers that are acted on by a function. (what you plug in)

b)

a set of numbers that are determined by how a functions acts on it. (what you get out)

c)

a special relationship where each input has a single output

d)

a unique way of writing a function

38.

function

a)

a set of numbers that are acted on by a function. (what you plug in)

b)

a set of numbers that are determined by how a functions acts on it. (what you get out)

c)

a special relationship where each input has a single output

d)

a unique way of writing a function

39.

a unique way of writing a function to clearly indicate the output f(x), based on the value of the input

a)

input

b)

output

c)

function notatation

d)

function

40.

if a vertical line is drawn anywhere on the graph and intersects the graph more than once, then the graph cannot represent a function because this indicates that there is more than one output (y-values) for one input (x-value)

a)

constant rate

b)

function notation

c)

vertical line test

d)

slope

41.

the ratio of the change in y to the change in x between two points. also known as the amount that the y-value changes when the x-value increases by 1.

a)

y-intercept

b)

initial value

c)

constant rate

d)

slope

42.

the ratio of the change in y to the change in x is equivalent between any two point in a graph, table or equation.

a)

y-intercept

b)

initial value

c)

constant rate

d)

slope

43.

the beginning output value in a sequence; often the output of function when the input is 0.

a)

y-intercept

b)

initial value

c)

constant rate

d)

slope

44.

the output when the function crosses the y-axis; when x = 0.

a)

y-intercept

b)

initial value

c)

constant rate

d)

slope

45.

When every input has a single output and there is a constant rate of change.

a)

function

b)

linear function

c)

slope

d)

initial value

46.

$y=mx+b\ \ \ \ \ or\ \ \ \ f\left(x\right)=mx+b$

a)

point-slope form

b)

recursive function

c)

slope-intercept form

d)

y-intercept

47.

an equation for a function that defines the output based on the input. "I plug in an input (x) to get an output (y)"

a)

linear function

b)

explicit function

c)

recursive function

d)

discrete function

48.

an equation for a function that tells you how to find and output value $f\left(n\right)$ based on the previous output in the sequence $f\left(n-1\right)$

a)

linear function

b)

explicit function

c)

recursive function

d)

discrete function

49.

a variable whose change is not affected by another variable in the relationship

a)

dependent variable

b)

independent variable

c)

variable

d)

controlled variable

50.

a variable that is affected/determined by a change in the other variable. (its value depends on the other)

a)

dependent variable

b)

independent variable

c)

variable

d)

controlled variable

51.

$y-y_1=m\left(x-x_1\right)$ where m = slope, and $\left(x_1,y_1\right)$ = a point

a)

slope-intercept form

b)

recursive function

c)

point-slope form

d)

y-intercept

52.

the difference between each number in a linear sequence

a)

constant difference

b)

continuous function

c)

constant rate

d)

constant ratio

53.

a function that includes outputs for all input values within an interval of real numbers

a)

constant difference

b)

discrete function

c)

continuous function

d)

recursive function

54.

a function that can only include certain numbers as inputs or outputs. For example, if the input is the number of students in class, you can only include whole numbers (you cannot have a negative student or half a student)

a)

constant difference

b)

recursive function

c)

continuous function

d)

discrete function

55.

the set of all possible output values for a function

a)

domain

b)

range

56.

all positive and negative whole numbers

a)

whole numbers

b)

rational numbers

c)

real numbers

d)

integers

57.

all non-negative numbers that can be written as fractions with a denominator

a)

whole numbers

b)

rational numbers

c)

real numbers

d)

integers

58.

all numbers that can be written as fractions. they can also be written as terminating or repeating decimals

a)

whole numbers

b)

rational numbers

c)

real numbers

d)

integers

59.

all rational and irrational numbers.

a)

whole numbers

b)

rational numbers

c)

real numbers

d)

integers

60.

an equation $f\left(x\right)=g\left(x\right)$ where both f and g are linear function.

a)

linear equation

b)

point of intersection

c)

solution set

d)

strict inequality

61.

the point $\left(x,y\right)$ where two or more lines intersect. For two functions $f\left(x\right)$ and $g\left(x\right)$ , the x-coordinate of the point is the solution to the equation $f\left(x\right)=g\left(x\right)$

a)

linear equation

b)

point of intersection

c)

solution set

d)

strict inequality

62.

the set of values (points) that make the equation or inequality statement true.

a)

linear equation

b)

point of intersection

c)

solution set

d)

strict inequality

63.

a relationship between two functions with the same input. the solution set is all values of the input that satisfy the inequality.

a)

linear equation

b)

one-variable inequality

c)

two-variable inequality

d)

strict inequality

64.

a relationship between two quantities - x and y - that can vary. The solution set is the collection of all point (x,y) that satisfy the inequality

a)

linear equation

b)

one-variable inequality

c)

two-variable inequality

d)

strict inequality

65.

two or more equations that describe a relationship between the same variables (x,y).

a)

system of equations

b)

elimination

c)

substitution

d)

system of inequalities

66.

the point(s) (x,y) that satisfies all equations in a system of equations simultaneously

a)

system of equations

b)

point of intersection

c)

solution

d)

system of inequalities

67.

a method of solving a system of equations algebraically by adding/subtracting one equation to the other in order to remove one variable

a)

substitution

b)

point of intersection

c)

solution to a system of equations

d)

elimination

68.

a method of solving a system of equations algebraically. one question is rewritten to express one variable in terms of another. The other equation is then rewritten, replacing the variable with this expression to create a one-variable equation.

a)

substitution

b)

point of intersection

c)

solution to a system of equations

d)

elimination

69.

two or more inequalities that describe a relationship between the same variables (x,y).

a)

system of equations

b)

elimination

c)

substitution

d)

system of inequalities

70.

the line of set of points (x,y) where the two sides of an inequality are equal in value

a)

constraint

b)

boundary line

c)

elimination

d)

substitution

71.

a condition or relationship that limits the values of one or more variables in a situation

a)

constraint

b)

boundary line

c)

elimination

d)

substitution

72.

the set of point(s) (x,y) that satisfies all inequalities simultaneously

a)

system of equations

b)

point of intersection

c)

solution set

d)

system of inequalities

73.

a function with a constant ratio (multiplier) between consecutive outputs

a)

exponential function

b)

cubic function

c)

quadratic function

d)

linear function

74.

a sequence with a constant difference between terms.

a)

exponential function

b)

arithmetic sequence

c)

geometric sequence

d)

quadratic sequence

75.

a sequence with a constant multiplier between terms.

a)

exponential function

b)

arithmetic sequence

c)

geometric sequence

d)

quadratic sequence

76.

When the value of $f\left(x\right)$ increases by a constant percentage. as x increases, y increases.

a)

exponential regression

b)

exponential decay

c)

exponential growth

d)

parabola

77.

When the value of $f\left(x\right)$ decreases by a constant percentage. as x increases, y decreases.

a)

exponential regression

b)

exponential decay

c)

exponential growth

d)

parabola

78.

the exponential function that best fits a set of data

a)

exponential regression

b)

exponential decay

c)

exponential growth

d)

parabola

79.

a function with a linear rate of change, also known as having a constant second difference

a)

linear function

b)

exponential function

c)

cubic function

d)

quadratic function

80.

the symmetrical U-shape that describes the graph of a quadratic function

a)

line

b)

exponential line

c)

parable

d)

parabola

81.

an algebraic expression written as a product of linear factors. $\left(x-p\right)\left(x-q\right)$

a)

standard form

b)

factored form

c)

vertex form

82.

$ax^2+bx+c$

a)

standard form

b)

factored form

c)

vertex form

83.

Written as a perfect square plus a constant. $y=a\left(x-h\right)^2+k$ where (h,k) is the vertex.

a)

standard form

b)

factored form

c)

vertex form

84.

An x value that is a solution to the equation $ax^2+bx+c=0$ . This is equivalent to the x-value of the points where the graph touches the x-axis. (where y =0, the x-intercepts)

a)

zero

b)

vertex

c)

translation

d)

transformation

85.

the turning point (either maximum or minimum) of a parabola

a)

vertex form

b)

vertex

c)

maximum

d)

minimum

86.

the smallest output value of a function.

a)

vertex form

b)

vertex

c)

maximum

d)

minimum

87.

the largest output value of a function.

a)

vertex form

b)

vertex

c)

maximum

d)

minimum

88.

an operation on a function that changes the location, direction, and/or magnitude of a funciton

a)

axis of symmetry

b)

translation

c)

transformation

d)

dilation

89.

a transformation that shifts the location of a graph of a function, up, down, left, or right.

a)

axis of symmetry

b)

translation

c)

transformation

d)

dilation

90.

a transformation that changes the magnitude or direction of a graph of a function

a)

axis of symmetry

b)

translation

c)

transformation

d)

dilation

91.

the line of symmetry for a quadratic function. x = h, where h is the x-coordinate of the vertex.

a)

axis of symmetry

b)

translation

c)

transformation

d)

dilation

92.

The median of the lower half of a set of data.

a)

interquartile range

b)

frequency

c)

lower quartile

d)

upper quartile

93.

an observation that does not fit the rest of the data

a)

outlier

b)

quartiles

c)

median

d)

frequency

94.

the middle score in a distribution; half the scores are above it and half are below it

a)

variance

b)

median

c)

mode

d)

mean

95.

the arithmetic average of a distribution, obtained by adding the scores and then dividing by the number of scores.

a)

variance

b)

mean

c)

median

d)

mode

96.

A graph that displays the highest and lowest quarters of data as whiskers, the middle two quarters of the data as a box, and the median

a)

histogram

b)

box plot

c)

quartiles

d)

bar graph

97.

The median of the upper half of a set of data

a)

frequency

b)

interquartile range

c)

lower quartile

d)

upper quartile

98.

a computer measure of how much scores vary around the mean score

a)

standard deviation

b)

upper quartile

c)

histogram

d)

interquartile range

99.

the most frequently occurring score(s) in a distribution

a)

outlier

b)

median

c)

mode

d)

mean

100.

The difference between the upper and lower quartiles

a)

lower quartile

b)

interquartile range

c)

quartiles

d)

upper quartile

101.

the number of times a value of the data occurs

a)

quartiles

b)

frequency

c)

upper quartile

d)

lower quartile

102.

one of three values that divide the data set into four equal section

a)

Q1

b)

Q3

c)

Quartile

d)

Q2 (Median)

103.

a graph on a coordinate plane showing each individual data point in a two-variable data set

a)

line of best fit

b)

scatter plot

c)

linear regression

d)

linear association

104.

a linear function that approximates the relationship between two variables in a scatter plot

a)

line of best fit

b)

scatter plot

c)

linear regression

d)

linear association

105.

the calculator-generated line of best fit used to model a linear relationship between two variables

a)

line of best fit

b)

scatter plot

c)

linear regression

d)

linear association

106.

a relationship between variables where a change in one variable corresponds to approximately the same change in the other variable over any interval

a)

line of best fit

b)

scatter plot

c)

linear regression

d)

linear association

107.

a value between -1 and 1 that shows the strength and direction of a linear relationship between two variables

a)

linear association

b)

positive association

c)

negative association

d)

correlation coefficient

108.

the calculator-generated correlation coefficient for a linear regression

a)

b-value

b)

r-value

c)

m-value

d)

c-value

109.

the change from the initial to final output divided by the change from initial input to final input for a given interval

a)

residual

b)

average rate of change

c)

residual plot

d)

negative association

110.

the difference between the predicted value (by model) and the actual value (real-world data) for a linear regression

a)

residual plot

b)

residual

c)

two-way frequency table

d)

linear association

Algebra Regents Vocab

Total questions: 110

Worksheet time: 55mins

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