AnswersOC27 GEO-1206310-S1-Degele-VOL7006PSlopes of Parallel and Perpendicular Lines

Solving Linear Equations: Variable on One Side Answers

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Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of

A
miles he runs.
B
miles he runs.
C
months he runs.
D
months he runs.
E
miles he ran the first day.
F
miles he ran the first day.
G
calories he burns.
H
calories he burns.
2
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Consider the functions shown on the graph.

Question illustration
A
0.0
B
0.5
C
1.5
D
3.0
3

A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value of n?

A
3n – 15 + n = 101
B
3n – 15 + n = 101
C
3n + 15 + n = 101
D
3n + 15 + n = 101
E
3n – 15 – n = 101
F
3n – 15 – n = 101
G
3n + 15 – n = 101
H
3n + 15 – n = 101
4

A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 4, 3), the point (negative 2, 1) and (0, negative 1). The other line is labeled g(x) and passes through (negative 4, negative 1), the point (negative 2, 1) and (0, 3).

Question illustration
A
x = −3
B
x = −2
C
x = −1
D
x = 3
5

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

A
p – 7 = 13 – 3p
B
2p – 7 = 13
C
3p – 7 = 13 – p
D
4p – 7 = 13
6

A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value of n?

A
3n – 15 + n = 101
B
3n + 15 + n = 101
C
3n – 15 – n = 101
D
3n + 15 – n = 101
7

Consider the functions shown on the graph.

Question illustration
A
0.0
B
0.5
C
1.5
D
3.0
8

A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 4, 3), the point (negative 2, 1) and (0, negative 1). The other line is labeled g(x) and passes through (negative 4, negative 1), the point (negative 2, 1) and (0, 3).

Question illustration
A
x = −3
B
x = −2
C
x = −1
D
x = 3
9

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

A
$11
B
$12
C
$13
D
$14
10

Two functions are defined as shown.f(x) = x – 2g(x) = –1Which graph shows the input value for which f(x) = g(x)?

Question illustration
A
Option
B
Option
C
Option
D
Option

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