Answers SRC 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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What should be the first step to solve the equation? 2x + 9(x – 1) = 8(2x + 2) – 5

Combine like terms on each side of the equation.

Use the distributive property on each side of the equation.

Use the subtraction property of equality to subtract 5 from each side of the equation.

Use the addition property of equality to add 2x to each side of the equation.

Is x = –4 a valid solution this linear equation?2x + 9(x – 1) = 8(2x + 2) – 5

No. When –4 is substituted for the variable, the result is a true statement.

No. When –4 is substituted for the variable, the result is a false statement.

Yes. When –4 is substituted for the variable, the result is a true statement.

Yes. When –4 is substituted for the variable, the result is a false statement.

What is the next step after using the distributive property?

Use the multiplication property of equality to isolate the variable term on one side of the equation.

Use the multiplication property of equality to isolate the constant on one side of the equation.

Combine the like terms on the right side of the equation.

Combine the like terms on the left side of the equation.

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