AnswersAISD Algebraic Reasoning B Credit Recovery 2026-2027Unit Test

Solving Linear Equations: Distributive Property Answers

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1
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Karissa begins to solve the equation . Her work is correct and is shown below.

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A
–1
B
–
Option B
C
0
D
StartFraction one-half EndFraction.
Option D
2
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How many solutions exist for the given equation?3x + 13 = 3(x + 6) + 1

A
zero
B
one
C
two
D
infinitely many
3

Solve for x.9(x + 1) = 25 + x

A
x = 2
B
x = 3
C
x = 4
D
x = 5
4

How many solutions exist for the given equation?(x + 12) = 4x – 1

Question illustration
A
zero
B
one
C
two
D
infinitely many
5

How many solutions exist for the given equation?3(x – 2) = 22 – x

A
zero
B
one
C
two
D
infinitely many
6

Solve for x.6(x – 1) = 9(x + 2)

A
x = –8
B
x = –3
C
x = 3
D
x = 8
7

Which equation has no solution?

A
4(x + 3) + 2x = 6(x + 2)
B
5 + 2(3 + 2x) = x + 3(x + 1)
C
5(x + 3) + x = 4(x + 3) + 3
D
4 + 6(2 + x) = 2(3x + 8)
8

Solve for x.5(x – 10) = 30 – 15x

A
x = 1
B
x = 4
C
x = 5
D
x = 8
9

How many solutions exist for the given equation?12x + 1 = 3(4x + 1) – 2

A
zero
B
one
C
two
D
infinitely many
10

How many solutions exist for the given equation?0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

A
zero
B
one
C
two
D
infinitely many

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