# Texas Go Math Grade 7 Module 8 Answer Key Equations and Inequalities

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## Texas Go Math Grade 7 Module 8 Answer Key Equations and Inequalities

Essential Question
How can you use equations and Inequalities to solve real-world problems? Complete these exercises to review skills you will need for this chapter. Solve each equation, using inverse operations.

Question 1.
9w = -54 _______
Divide both sides by 9. Question 2.
b – 12 = 3 _______
Add 12 to both sides b – 12 + 12 = 3 + 12
b = 15

Question 3.
$$\frac{n}{4}$$ = -11 ____
Multiply both sides by 4. Graph each number on the number line. Question 4.
3 3

Question 5.
-9 -9

Question 6.
7 7

Question 7.
-3 -3

Question 8.
4p > 20 ______
Divide both sides by 4. Question 9.
m – 7 ≤ 3 ______
m + 7 + 7 ≤ 3 + 7
m ≤ 3 + 7
m ≤ 10

Question 10.
$$\frac{S}{-2}$$ < 9
Multiply both sides by -2. We are multiplying by a negative number, so we have to reverse direction of the inequality Question 11.
r + 6 ≤ -7 ____
subtract 6 from both sides.
r + 6 – 6 ≤ -7 – 6
r ≤ -13

Question 12.
$$\frac{h}{4}$$ > -5 _____
Multiply both sides by 4. Question 13.
-y ≤ 2 ________
Multiply both sides by -1 We are multiplying by a negative number, so we have to reverse direction of the inequality.
-y . (-1) ≤ 2 . (-1)
y ≤ -2

Visualize Vocabulary

Use the ✓ words to complete the graphic. You may put more than one word in each box. Understand Vocabulary

Complete each sentence, using the review words.

Question 1.
A value of the variable that makes the equation true is a ____