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

Solving Linear Equations: Variables on Both Sides Answers

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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.
3

Use properties to rewrite the given equation. Which equations have the same solution as the equation x + + x = – xSelect three options.

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
5

What is the justification for the step taken from line 2 to line 3?

Question illustration
A
the subtraction property of equality
B
the multiplication property of equality
C
combining like terms on one side of the equation
D
the distributive property
14

Solve the equation.y + 6 = –3y + 26

A
y = –8
B
y = –5
C
y = 5
D
y = 8
15

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
16

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
17

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
18

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.
19

Solve the equation.8 – 2x = –8x + 14

A
x = –1
B
x =
Option B
C
x =
Option C
D
x = 1
20

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

A
x =
Option A
B
x =
Option B
C
x = 12
D
x = 18

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