AnswersAZ-Algebra 1A MA101Solving Linear Equations: Variables on Both Sides

Solving Linear Equations: Variables on Both Sides Answers

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1
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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
2
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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?6 – x + = x + 5

Question illustration
A
2
B
3
C
6
D
12
3

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
4

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
5

Which number can each term of the equation be multiplied by to eliminate the decimals before solving?–m + 0.02 + 2.1m = –1.45 – 4.81m

A
0.01
B
0.1
C
10
D
100
6

Which step could be used to help isolate the variable in the following equation?5.6j – 0.12 = 4 + 1.1j

A
Subtract 0.12 from both sides.
B
Subtract 5.6 from both sides.
C
Subtract 4j from both sides.
D
Subtract 1.1j from both sides.
7

Solve the equation.y + 6 = –3y + 26

A
y = –8
B
y = –5
C
y = 5
D
y = 8
8

Solve the equation.–3x + 1 + 10x = x + 4

Question illustration
A
x =
Option A
B
x =
Option B
C
x = 12
D
x = 18
9

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

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