Category 3: Solving Equations and Inequalities

1. What is the solution to 4(5ℎ−7)+10 = 3−2(6−ℎ)?

• 𝑨. −1⁄2
• 𝑩. 1⁄2
• 𝑪. −16
• 𝑫. 16

2. What is the solution to this equation?

• 𝑭. 15
• 𝑮. 39
• 𝑯. −1
• 𝑱. −2

3. What value of 𝑥 makes the equation 1.5(8−10𝑥)+10=−6𝑥+7 true?

• 𝑨. 5⁄3
• 𝑩. −3
• 𝑪. 1
• 𝑫. −5⁄7

4. What value of 𝑑 makes the equation 24−(𝑑−9)=4𝑑+0.5(7𝑑−36) true?

• 𝑭. 7.5
• 𝑮. 6
• 𝑯. 0.5
• 𝑱. 13

5. What is the solution to 17(𝑥−4)+8 = 12(𝑥−5)?

• 𝑨. 20.6
• 𝑩. −1
• 𝑪. 0
• 𝑫. −2.8

6. What value of 𝑤 makes the equation 9𝑤−2(7𝑤−5)=5(4−𝑤) true?

• 𝑭. No solution
• 𝑮. −2.5
• 𝑯. −1
• 𝑱. 0

7. Which value of 𝑥 makes the equation −1−5(𝑥−1)=3𝑥−2(6+𝑥) true?

• 𝑨. 3⁄2
• 𝑩. −1.5
• 𝑪. 1
• 𝑫. 8⁄3

8. What is the solution to 9−𝑥=7(𝑥+11)? Enter only the value.

9. What value of 𝑛 makes the equation 1.2(𝑛−13)=−0.7(5𝑛−18) true? Enter only the value.

1. What is the solution set to −3(𝑡+3) ≥ 5𝑡−13?

• 𝑨. 𝑡 ≤ 0.5
• 𝑩. 𝑡 ≤ 2
• 𝑪. 𝑡 ≥ −0.5
• 𝑫. 𝑡 ≥ −2