Equations and Inequalities (6th CCSS)

1. Leticia wants to earn at least $52 this month. She makes $8 per hour walking dogs in her neighborhood. Which inequality can Leticia use to find x, the number of hours she should walk dogs to meet her goal?

• A. 8 + x < 52
• B. 8x ≤ 52
• C. 8x ≥ 52
• D. 8 + x > 52

2. If x = 5, then which inequality is true?

• A. 2x ≥ 12
• B. x – 2 < 7
• C. 2x > 12
• D. x – 7 > 2

3. The entrance fee to the children’s museum was a total of $46.00 for eight tickets. The model below shows the relationship. What was the entrance fee for one ticket?

• A. $5.75
• B. $5.25
• C. $6.25
• D. $7.00

4. An equation is modeled below using algebra tiles. Which value of x makes the equation true?

• A. x = 7
• B. x = 13
• C. x = -7
• D. x = -13

5. Mr. Dorado has completed 75% of his morning run. Which of the following sets does not represent 75%?

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6. An elevator has a maximum weight capacity of 300 pounds. Each pallet of boxes weighs 25 pounds. Which of the following number lines best represents the solution to the inequality?

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7. Jillian tracks her progress on her spelling tests over a period of four weeks. Which list shows her scores from greatest to least?

• A. Weeks 1, 3, 2, 4
• B. Weeks 3, 1, 2, 4
• C. Weeks 3, 1, 4, 2
• D. Weeks 1, 3, 4, 2

8. Which situation best represents the equation below?

• A. Sandy collects sea shells. She had 60 shells, but then she gave away 15 shells. How many shells does Sandy have in her collection?
• B. Mr. Yung is 15 years younger than his brother. His brother is 60 years old. How old is Mr. Yung?
• C. The school band is selling raffle tickets. They have already sold 15 tickets and have 60 remaining. How many raffle tickets did the school band begin with?
• D. Daniella measures a 15 inch length of rope and attaches it to another length of rope. Together the two ropes are 60 inches in length. How long was the piece of rope that Daniella attached?

9. Edgar pays $67.86 for 7.8 pounds of fertilizer. What is the price per pound of fertilizer?

• A. $6.98
• B. $5.65
• C. $8.70
• D. $10.26

10. What is the value of x in this equation?