AnswersSRC 2022 MJ Grade 8 Pre-Algebra Q1Solving Multistep Equations with Variables on Both Sides

Solving Multistep Equations with Variables on Both Sides Answers

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1
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What is the first step in solving this equation?3(2x + 6) – 4x = 2(5x – 2) + 6

A
Use the subtraction property of equality to subtract 6 from both sides.
B
Use the addition property of equality to add 4x to both sides.
C
Combine the like terms on each side of the equation.
D
Use the distributive property on each side of the equation.
2
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Step 2: subtraction property of equalitydivision property of equalitydistributive property✔ combining like terms

A
subtraction property of equality
B
division property of equality
C
distributive property
D
✔ combining like terms
3

Step 3: ✔ addition property of equalitydivision property of equalitydistributive propertycombining like terms

A
✔ addition property of equality
B
division property of equality
C
distributive property
D
combining like terms
4

Step 4: ✔ subtraction property of equalitymultiplication property of equalitydistributive propertycombining like terms

A
✔ subtraction property of equality
B
multiplication property of equality
C
distributive property
D
combining like terms
5

Step 5: addition property of equality✔ division property of equalitydistributive propertycombining like terms

A
addition property of equality
B
✔ division property of equality
C
distributive property
D
combining like terms
6

1/2✔ 28128= x

A
1/2
B
✔ 2
C
8
D
128
7

What could be the next step? Select all that apply.

A
Add 8 to both sides.
B
Add 5x to both sides.
C
Subtract 6x from both sides.
D
Subtract 20 from both sides.
E
Divide both sides by –8.
F
Divide both sides by –20.
8

Please enter fractional values in the form ‘a/b’. For example, an answer of will be entered as 3/4.x =

Question illustration
Answer:

13/3

9

Question text not available

Answers:
Selection 1:distributive property
Selection 2:combining like terms
Selection 3:addition property of equality
Selection 4:subtraction property of equality
Selection 5:division property of equality
10

Step 1: addition property of equalitymultiplication property of equality✔ distributive propertycombining like terms

Answers:
Selection 1:distributive property
Selection 2:combining like terms
Selection 3:addition property of equality
Selection 4:subtraction property of equality
Selection 5:division property of equality
11

When Caleb verified his solution, it didn’t work. What mistake did he make?

A
In step 1, the distributive property was not used properly on the right side of the equation.
B
In step 2, the like terms were not combined properly on the right side of the equation.
C
In step 3, the addition property of equality was not used properly to isolate the variable term.
D
In step 5, the division property of equality was not used properly to solve for x.
12

Mia solved the equation and determined that m = 2. Is she correct?

A
She is incorrect because when substituting 2 for m the result was a true statement.
B
She is incorrect because when substituting 2 for m the result was a false statement.
C
She is correct because when substituting 2 for m the result was a true statement.
D
She is correct because when substituting 2 for m the result was a false statement.
13

Which would be a good third step to solve the equation?

A
Combine like terms y and 2.
Option A
B
Distribute 15 to each term on the left side.
Option B
C
Subtract y from each side of the equation.
Option C
D
Divide each side of the equation by 2.
Option D
14

a =

Answer:

40

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