AnswersFL-1200320-Algebra 1 Honors ASolving Linear Equations: Variables on Both Sides

Solving Linear Equations: Variables on Both Sides Answers

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82913

x =[___]

A
–31/7
B
–7/6
C
–7/3
D
–1
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In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain.

Answer:

Both Spencer and Jeremiah are correct. Each step applies the same operation to both sides, so either can be used to solve the equation.

82918

Use the drop-down menus to justify Marlena’s work in each step of the process. Step 1: Step 2: Step 3:

Answers:
Selection 1:addition property of equality
Selection 2:subtraction property of equality
Selection 3:division property of equality
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What did you include in your response? Check all that apply.

A
Both boys are correct.
B
Both methods correctly use the properties of equality and inverse operations.
C
Both methods isolate the variable on one side of the equals sign.

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