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

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