Inequalities Unit Review Test (7th CCSS)

1. Solve.

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2. Solve.

Xavier needs to bike a minimum of 80 miles this week for his training. If he has already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week?

• A. x ≥ 12

• B. x ≥ 11

• C. x ≤ 10

• D. x ≥ 10

Which inequality matches the number line below?

• F. -3.5 ≤ x

• A. -5 > x

• B. x ≤ -3.5

• C. -2 < x

• D. x > -5

Which inequality matches the number line below?

• D. x > -5

• A. -5 > x

• B. x ≤ -3.5

• C. -2 < x

• E. -2 > x

Which number line best represents the solution to the problem below?

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Benny earns $12.00 per hour as a lifeguard. He earns a bonus of $75.00 for taking a training course. Which number line best represents the number of hours he must work to earn at least $399.00?

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Emily is encouraged to read more than 4 hours each week. It will take her 45 minutes to finish the book she is currently reading, then she will divide the remainder of the time equally among the other six days. Which inequality would help Emily find the number of minutes she should read each day?

• A. 6x + 45 < 240

• B. 6x + 45 > 240

• C. 6x + 45 ≤ 240

• D. 6x + 45 ≥ 240

Which of the following situations best represents the inequality 0.60x + 150 < 200?

• A. A car towing service charges $150 to pick up the car and then $0.60 per mile to tow it. What is the greatest number of miles a car can be towed for less than $200?

• B. Genny transcribes audio files for $0.60 per minute, plus a $150 flat fee. After how many minutes will Genny’s fee be more than $200?

• C. Both A and B

Emily solved the inequality as shown below. Which describes the error that Emily made in her work?

• A. Emily did not combine 5 and 10 correctly.

• B. Emily did not flip the inequality sign.

• C. Emily did not divide correctly.

• D. Emily did not make an error in her work.