Worksheetsalgebra mid term studyguide
Total questions: 49
Worksheet time: 25mins
What is the degree of the polynomial $3x^2 - 4 - 2x^3$?
2
3
4
5
What is the leading coefficient of the polynomial $3x^2 - 4 - 2x^3$?
3
-2
4
-4
When adding polynomials, what should you do first?
Multiply the terms
Drop parentheses and combine like terms
Divide the terms
Subtract the terms
What is the first step in subtracting polynomials?
Add the terms
Multiply the terms
Distribute the negative to the terms after the minus sign
Divide the terms
What is the easiest way to multiply polynomials according to the study guide?
Use a calculator
Make an area model (make a box) and then combine like terms
Add the coefficients
Subtract the exponents
Which property should you use if you have parentheses in an equation?
Distributive property
Commutative property
Associative property
Identity property
What does it mean if your variable cancels out and you get something like 3=3?
One solution
No solution
Infinitely many solutions
Two solutions
In the equation $ ax + b = c $, what are you solving for?
a
b
c
x
What is the slope of a line passing through the points (5, -2) and (4, -2)?
0
1
-1
Undefined
Which form of a linear equation is represented by $ y = mx + b $?
Point Slope
Slope Intercept
Standard
Quadratic
What is the slope of the graph shown?
1
-1
0
2
What is the equation of a line with a slope of -2 that passes through the point (1, 4)?
y = -2x + 6
y = 2x + 4
y = -2x + 2
y = 2x - 4
How do you find the x-intercept of an equation?
Replace y with 0 and solve for x
Replace x with 0 and solve for y
Set both x and y to 0
Use the slope formula
What type of line and shading is used for the inequality $ y \leq 2x + 3 $ on a coordinate plane?
Dashed line, shade above
Solid line, shade below
Dashed line, shade below
Solid line, shade above
What should you do when solving compound inequalities with the word "AND"?
Shade both solutions on the same line
Shade what is in common to both inequalities
Ignore the inequalities
Shade only one inequality
What happens to the inequality sign when you multiply or divide by a negative number?
It stays the same
It changes direction
It becomes an equation
It disappears
How should you graph linear inequalities compared to linear equations?
Graph them differently
Graph them the same
Do not graph them
Use only solid lines
What does it mean if two lines are parallel in a system of equations?
Infinitely many solutions
No solution
One solution
Two solutions
Where should $ y < \frac{5}{3}x + 2 $ be shaded?
Above the line
Below the line
On the line
To the right of the line
Which method can be used if a variable is by itself and can be substituted easily into the opposite equation?
Substitution
Elimination
Graphing
Factoring
What is the purpose of using elimination in solving systems of equations?
To graph the equations
To substitute variables
To cancel out a variable by combining equations
To find the slope of a line
What tool can be used to graph both equations and find the point of intersection?
Calculator
DESMOS
Ruler
Compass
What is the definition of marginal frequency in a two-way table?
The total of a row or column
The middle section of the table
The percentage of a part
The difference between two values
How do you calculate the percentage in a two-way table?
(total/part) × 100
(part/total) × 100
(total/total) × 100
(part/part) × 100
To the nearest percent, what percent of the boys chose Niagara Falls?
35%
40%
30%
25%
What type of correlation is described when as x increases, y decreases?
Positive correlation
Negative correlation
Strong correlation
Nonlinear correlation
What does a strong correlation indicate about the points on a graph?
Points are far apart
Points are close together
Points form a curve
Points are random
What does the line of best fit represent in a scatter plot?
The average of all data points
A line that passes through the maximum number of points
A line that best represents the data points using a straight line
A line that connects the first and last data points
How can you find the line of best fit using DESMOS?
Use the equation y = x^2
Use the equation y = mx + b provided by DESMOS
Draw a line manually through the points
Use the equation y = x + c
What is the relationship shown in a scatter plot with a strong, positive, linear correlation?
As one variable increases, the other decreases
No relationship between the variables
As one variable increases, the other also increases
The variables are unrelated
In the example data, what is the test score when 100% of homework is completed?
90
98
100
94
What is the definition of a function?
Each input has exactly one output.
Each input can have multiple outputs.
Each output has multiple inputs.
Each output has no inputs.
What is the domain of a function?
The y-values of the function.
The x-values of the function.
The maximum value of the function.
The minimum value of the function.
What is the range of a function?
The x-values of the function.
The y-values of the function.
The maximum x-value of the function.
The minimum x-value of the function.
What is the y-intercept of a function?
Where the line crosses the x-axis.
Where the line crosses the y-axis.
The highest y-value of the function.
The lowest y-value of the function.
Select all of the values of z that will make the relationship a function.
3
2
6
0
5
The cost to manufacture pairs of airpods can be represented by a function, C(x). If C(3)=1112, then ______ pairs of airpods cost $__________.
3, 1000
4, 1112
3, 1112
2, 1112
5, 1112
The x-intercept of the graph is _______ which means __________________.
3, the time when Josh pulled the parachute
0, the starting point
1, the time when Josh started
2, the time when Josh reached the ground
4, the time when Josh finished the race
The time interval that Josh fell without pulling his parachute was _____________.
0 to 1 minute
1 to 2 minutes
2 to 3 minutes
3 to 4 minutes
The time interval that Josh fell after pulling his parachute was ________________.
1 to 2 minutes
2 to 3 minutes
3 to 4 minutes
4 to 5 minutes
At _____ minute, Josh pulled his parachute. It took him ____ minutes to reach the ground after that.
5, 3
1, 2
4, 2
2, 3
3, 1
During the time spent skydiving, Josh had a maximum elevation of ____________.
10,000 feet
12,000 feet
14,000 feet
16,000 feet
Does the correspondence t: {1,2,3,4,5}→{6,7,8,9,10} represent a function?
Yes, it represents a function.
No, it does not represent a function.
It represents a function only for even numbers.
It represents a function only for odd numbers.
What is the domain of the function P(d) = 12d, where FHS sells a maximum of 225 plates?
0 ≤ d ≤ 225
0 ≤ d ≤ 200
0 ≤ d ≤ 250
0 ≤ d ≤ 300
If P(30) = ______, what does this represent in the context of the problem?
360, representing the cost of 30 dinners.
360, representing the revenue from 30 dinners.
360, representing the profit from 30 dinners.
360, representing the number of dinners sold.
If P(d) = 816, d = ______. What does this represent?
68, representing the profit from dinners sold.
68, representing the number of customers served.
68, representing the cost of dinners sold.
68, representing the revenue from dinners sold.
68, representing the number of dinners sold.
Evaluate the piecewise function f(x) = {x-3, x ≤ -4; -2x+5, -4
-8
-2
2
5
Evaluate the piecewise function f(x) = {x-3, x ≤ -4; -2x+5, -4
5
3
-5
0
Evaluate the piecewise function f(x) = {x-3, x ≤ -4; -2x+5, -4
-5
1
7
-1
