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Grade 8 HMH Go Math - Answer Keys
Chapter 7: Solving Linear Equations; Lesson 3:Equations with the Distributive Property
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Guided Practice
Solve each equation.
Question 1
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\(\begin{align} 4(\text{x} + 8) - 4 = 34 - 2\text{x} \\ \end{align} \)
Question 2
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\(\begin{align} \frac{2}{3}(9 + \text{x}) = -5(4 - \text{x}) \\ \end {align}\)
Question 7
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\(\large\frac{1}{10}\small(\text{x} + 11) = -2(8 - \text{x})\)
Question 8
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\(-(4 - \text{x}) = \large\frac{3}{4}\small(\text{x} - 6)\)
Question 9
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\(-8(8 - \text{x}) = \large\frac{4}{5}\small(\text{x} + 10)\)
Question 10
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\(\large\frac{1}{2}\small(16 - \text{x}) = -12(\text{x} + 7)\)
Question 11
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Sandra saves 12% of her salary for retirement. This year her salary was $3,000 more than in the previous year, and she saved $4,200.What was her salary in the previous year?
Write an equation _____
Sandra’s salary in the previous year was _____
Essential Question Check-In
Question 12
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When solving an equation using the Distributive Property, if the numbers being distributed are fractions, what is your first step? Why?
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