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Solving Linear Equations: Distributive Property Answers

10 verified answers
1
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Solve for x.6(x – 1) = 9(x + 2)

A
x = –8
B
x = –3
C
x = 3
D
x = 8
2
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Solve for x.9(x + 1) = 25 + x

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

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

A
zero
B
one
C
two
D
infinitely many
4

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
5

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

A
zero
B
one
C
two
D
infinitely many
6

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.
7

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
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?3x + 13 = 3(x + 6) + 1

A
zero
B
one
C
two
D
infinitely many
10

Solve for n.n + 1 = 4(n – 8)

A
n = 1
B
n = 8
C
n = 11
D
n = 16

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