AnswersAZ-Intermediate Algebra A MA311Solving Linear Equations: Variable on One Side

Solving Linear Equations: Variable on One Side Answers

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

Question illustration
A
x = −1
B
x = 0
C
x = 3
D
x = 4
2
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What are the possible steps involved in solving the equation shown? Select three options.3.5 + 1.2(6.3 – 7x) = 9.38Add 3.5 and 1.2.Distribute 1.2 to 6.3 and –7x .Combine 6.3 and –7x .Combine 3.5 and 7.56.Subtract 11.06 from both sides.

A
Add 3.5 and 1.2.
B
Distribute 1.2 to 6.3 and –7x .
C
Combine 6.3 and –7x .
D
Combine 3.5 and 7.56.
E
Subtract 11.06 from both sides.
3

Solve the equation.5x + 8 − 3x = −10

A
x = −9
B
x = −1
C
x = 1
D
x = 9
4

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
p – 7 = 13 – 3p
C
2p – 7 = 13
D
2p – 7 = 13
E
3p – 7 = 13 – p
F
3p – 7 = 13 – p
G
4p – 7 = 13
H
4p – 7 = 13
5

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
$11
C
$12
D
$12
E
$13
F
$13
G
$14
H
$14
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
E
3n – 15 – n = 101
F
3n – 15 – n = 101
G
3n + 15 – n = 101
H
3n + 15 – n = 101
7

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
8

The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?

A
u = 0.25
B
u = 0.75
C
u = 1.1
D
u = 2.5
9

Rahul solved the equation 2(x – ) – x = . In which step did he use the addition property of equality?

Question illustration
A
Step 1
B
Step 1
C
Step 2
D
Step 2
E
Step 3
F
Step 3
G
Step 4
H
Step 4
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
11

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
12

Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?

A
5n – 300 = 1,500
B
5n + 300 = 1,500
C
5n – 200 + 100n = 1,500
D
5n – 100 – 200n = 1,500
13

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

Question illustration
A
x = −1
B
x = 0
C
x = 1
D
x = 2
14

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
15

Solve the equation.5x + 8 − 3x = −10

A
x = −9
B
x = −1
C
x = 1
D
x = 9
16

Rahul solved the equation 2(x – ) – x = . In which step did he use the addition property of equality?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
17

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
18

Solve the equation.−10x + 1 + 7x = 37

A
x = −15
B
x = −12
C
x = 12
D
x = 15
19

What are the possible steps involved in solving the equation shown? Select three options.3.5 + 1.2(6.3 – 7x) = 9.38

A
Add 3.5 and 1.2.
B
Distribute 1.2 to 6.3 and –7x .
C
Combine 6.3 and –7x .
D
Combine 3.5 and 7.56.
E
Subtract 11.06 from both sides.
20

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

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