AnswersNC-Foundations of Math 1 Fall 1st 9 WeeksSolving with Variables on Both Sides

Solving with Variables on Both Sides Answers

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1
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What is the solution to the equation ?

Question illustration
A
x = negative 5
Option A
B
x = negative 4
Option B
C
x = 4
Option C
D
x = 5
Option D
2
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Louisa states that the solution to the equation is . She verifies her solution using the steps below. Equation: Step 1: Step 2: Step 3: Which statement most accurately describes Louisa’s error?

Question illustration
A
Louisa made an error when determining the original solution of x = 56.
B
Louisa made an error when substituting the solution in for x.
C
Louisa made an error when multiplying 56 by and by .
Option C
D
Louisa made an error when adding or subtracting.
3

What is the value of x in the equation ?

Question illustration
A
–3
B
Negative one-third
Option B
C
One-third
Option C
D
3
4

What is the value of x in the equation ?

Question illustration
A
–7
B
–3
C
3
D
7
5

Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation ? Select two options.

Question illustration
A
x = 5
B
–15 = –5x
C
5x = 15
D
–15 = 5x
E
x = -5
6

What is the solution to the equation ?

Question illustration
A
One-third
Option A
B
Two-thirds
Option B
C
2
D
12
7

What is the solution to the equation ?

Question illustration
A
x = negative 2
Option A
B
x = negative one-half
Option B
C
x = one-half
Option C
D
x = 2
Option D
8

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation ?

Question illustration
A
Negative one-fourth x = 1
Option A
B
Negative three-fourths x = 1
Option B
C
7 = one-fourth x
Option C
D
7 = three-fourths x
Option D
9

Tre determines the solution to the equation is . He verifies his solution using the steps below.Equation: Step 1: Step 2: Step 3: Which statement most accurately describes Tre’s error?

Question illustration
A
Tre made an error when determining the original solution of x = 0.5.
B
Tre made an error when substituting the solution in for x.
C
Tre made an error when multiplying each coefficient by 0.5.
D
Tre made an error when adding or subtracting.
10

Which is the most efficient first step to solve for x in the equation ?

Question illustration
A
Add 3.7x to both sides of the equation.
B
Add 4.3x to both sides of the equation.
C
Subtract 18 from both sides of the equation.
D
Subtract 34 from both sides of the equation.

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