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

Solving Linear Equations: Distributive Property Answers

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Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four”?

A
(1 – n) – 3 = (4 – 3n)
Option A
B
3 – (1 – n) = (4 – 3n)
Option B
C
(n – 1) – 3 = (3n – 4)
Option C
D
3 – (n – 1) = (3n – 4)
Option D
2
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How many solutions exist for the given equation?3(x – 2) = 22 – x

A
zero
B
one
C
two
D
infinitely many
3

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)
4

Solve for n.n + 1 = 4(n – 8)

A
n = 1
B
n = 8
C
n = 11
D
n = 16
5

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
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

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

A
x = 2
B
x = 3
C
x = 4
D
x = 5
10

Solve for x.6(x – 1) = 9(x + 2)

A
x = –8
B
x = –3
C
x = 3
D
x = 8
11

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
12

Solve for x.5(x – 10) = 30 – 15x

A
x = 1
B
x = 4
C
x = 5
D
x = 8
13

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

Question illustration
A
zero
B
one
C
two
D
infinitely many

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