Cumulative Exam — Cumulative exam Answers

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A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1).

Question illustration
A
f(x) = –2x + 1
B
f(x) = –x + 1
Option B
C
f(x) = x + 1
Option C
D
f(x) = 2x + 1
2
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Which graph represents a function?

A
Option
B
Option
C
Option
D
Option
3

Which linear function represents the line given by the point-slope equation y – 8 = (x – 4)?

Question illustration
A
f(x) = x + 4
Option A
B
f(x) = x + 6
Option B
C
f(x) = x – 10
Option C
D
f(x) = x – 12
Option D
4

A coordinate plane with a line passing through points at (0, negative 2) and (4, negative 1).

Question illustration
A
y = 4x – 2
B
y = –4x – 2
C
y = x – 2
Option C
D
y = – x – 2
Option D
5

Which linear function represents the line given by the point-slope equation y + 7 = –(x + 6)?

Question illustration
A
f(x) = –x – 11
Option A
B
f(x) = –x – 1
Option B
C
f(x) = –x + 3
Option C
D
f(x) = –x + 13
Option D
6

Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

A
y – 12 = –5(x + 2)
B
y – 12 = 2(x + 2)
C
y + 12 = 2(x – 2)
D
y + 12 = –5(x – 2)
7

Timmy writes the equation f(x) = x – 1. He then doubles both of the terms on the right side to create the equation g(x) = x – 2. How does the graph of g(x) compare to the graph of f(x)?

Question illustration
A
The line of g(x) is steeper and has a higher y-intercept.
B
The line of g(x) is less steep and has a lower y-intercept.
C
The line of g(x) is steeper and has a lower y-intercept.
D
The line of g(x) is less steep and has a higher y-intercept.
8

Raphael graphed the functions g(x)=x+2 and f(x)=x−1. How many units below the y-intercept of g(x) is the y-intercept of f(x)?

Question illustration
A
−3 units
B
−1 units
C
2 units
D
3 units
9

Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off of the back of the bleachers.

Question illustration
A
0.5 seconds
B
0.6 seconds
C
0.7 seconds
D
0.8 seconds
10

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2)

Question illustration
A
The slope of g(x) is the opposite of the slope of f(x).
B
The slope of g(x) is less than the slope of f(x).
C
The slope of g(x) is greater than the slope of f(x).
D
The slope of g(x) is equal to the slope of f(x).
11

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.

Question illustration
A
$1.50
B
$2.00
C
$2.50
D
$3.00
12

A graph titled Cost of Erasers. The x-axis shows the number of erasers, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 0.5 to 4.5. Blue diamonds appear at points (1, 0.5), (2, 1), (3, 1.5), (4, 2), (5, 2.5), (6, 3), (7, 3.5), (8, 4), (9, 4.5).

Question illustration
A
Each eraser costs $1.00.
B
Each eraser costs $1.50.
C
Three erasers cost $6.
D
Seven erasers cost $3.50.
13

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?

A
3x – 10y = 50
B
3x = 50 – 10y
C
50 + 10y = 3y
D
50 + 3y = 10y
14

Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?

A
0.25 miles per minute
B
0.09 miles per minute
C
4 miles per minute
D
11 miles per minute
15

The table represents a linear equation.

Question illustration
A
y – 6 = (x – 2)
Option A
B
y – 6 = (x – 2)
Option B
C
y + 6 = (x + 2)
Option C
D
y + 6 = (x + 2)
Option D
16

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

A
2 feet
B
12 feet
C
720 feet
D
7,200 feet
17

Which intervals show f(x) increasing? Choose two options.

A
[–2.5, –1.6)
B
[–2, –1]
C
(–1.6, 0]
D
[0, 0.8)
E
(0.8, 2)
18

Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
19

Consider the function represented by the graph.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
20

Analyze the graph of the function f(x) to complete the statement.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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