AnswersVT-VA-EOC-SOL-Algebra I Equations and InequalitiesSolving Linear Equations: Distributive Property

Solving Linear Equations: Distributive Property Answers

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1
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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)
2
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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
3

How many solutions exist for the given equation?3x + 13 = 3(x + 6) + 1

A
zero
B
one
C
two
D
infinitely many
4

What is the value of x in the equation 2(x−3)+9=3(x+1)+x?

A
x = −3
B
x = −1
C
x = 0
D
x = 3
5

Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution?

A
The equation has one solution: x = 0.
B
The equation has one solution: x = 1.
C
The equation has no solution.
D
The equation has infinite solutions.
6

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

A
3
B
4
C
5
D
9
7

Solve for x.6(x – 1) = 9(x + 2)

A
x = –8
B
x = –3
C
x = 3
D
x = 8
8

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

Question illustration
A
zero
B
one
C
two
D
infinitely many
9

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

A
zero
B
one
C
two
D
infinitely many
10

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

Question illustration
A
–1
B
–
Option B
C
0
D
StartFraction one-half EndFraction.
Option D

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