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

Solving Linear Equations: Distributive Property Answers

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What is the solution to the linear equation?x – = + x

Question illustration
A
x = –5
B
x = –
Option B
C
x =
Option C
D
x = 5
2
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What is the solution to the linear equation?2.8y + 6 + 0.2y = 5y – 14

A
y = –10
B
y = –1
C
y = 1
D
y = 10
3

The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. The Future Agricultural Leaders Club starts with $300 and spends $45.25 each month.

A
250.5 + 35m = 300 + 45.25m
B
250.5 – 35m = 300 – 45.25m
C
250.5m – 35 = 300m – 45.25
D
250.5m + 35 = 300m + 45.25
4

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?m – = 2 + m

Question illustration
A
2
B
3
C
4
D
5
5

Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month.

A
112 – 25m + 45 = 50 – 60m
B
112 + 25 + 45m = 50m + 60
C
112 + 25 – 45m = –50m + 60
D
112 + 25m + 45 = 50 + 60m
6

Solve the equation.8 – 2x = –8x + 14

A
x = –1
B
x =
Option B
C
x =
Option C
D
x = 1
7

What is the solution to the linear equation?d – 10 – 2d + 7 = 8 + d – 10 – 3d

A
d = –5
B
d = –1
C
d = 1
D
d = 5
8

What is the solution to the linear equation?4b + 6 = 2 – b + 4

A
b = –2
B
b = 0
C
b = 4
D
b = 6
9

Use properties to rewrite the given equation. Which equations have the same solution as the equation x + + x = – xSelect three options.x + = – x18x + 20 + 30x = 15 – 6x18x + 20 + x = 15 – 6x24x + 30x = –512x + 30x = –5

Question illustration
A
x + = – x
Option A
B
18x + 20 + 30x = 15 – 6x
C
18x + 20 + x = 15 – 6x
D
24x + 30x = –5
E
12x + 30x = –5
10

Solve the equation.y + 6 = –3y + 26

A
y = –8
B
y = –5
C
y = 5
D
y = 8

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