Equations and Inequalities (6th TEKS)

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

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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. Drea can play video games for no more than 45 minutes on school days. She played video games for 15 minutes before school. The inequality shown can be used to find x, the maximum number of minutes Drea can play after school in addition to the minutes she played before school. x + 15 ≤ 45 Which inequality represents all possible values of x?

• A. x ≤ 30
• B. x ≥ 15
• C. x ≤ 60
• D. x ≥ 45

5. The shoe box below is a rectangular prism with a base area of 147.2 cm². Which equation can be used to find the volume, V, of the shoe box?

• A. V = 147.2 (8)
• B. V = 147.2 (18.4)
• C. V = 18.4 (11)
• D. V = 147.2 (11)

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. Which situation best represents the equation below?

• A. Margret divided x markers into 12 containers, and each container had at most 6 markers.
• B. Margret separated x beads into 6 cups for her friends to make bracelets, and each cup had more than 12 beads.
• C. Margret placed x pens into 12 supply boxes, and each box had at least 6 pens.
• D. Margret shared 12 donuts among x friends, and each friend had less than 6 donuts.

8. The shaded area below represents the pieces of tile installed in a hallway. What percent of the hallway has not been installed with tile?

• A. 65%
• B. 35%
• C. 66.6%
• D. 33.3%

9. Collin’s house has a deck in the shape of a triangle with a perimeter of 34 feet. The combined length of two of the sides is 22 feet. What is the length of the third side of the deck in feet?

• A. 14 feet
• B. 12 feet
• C. 11 feet
• D. 56 feet

• A. 6
• B. 5
• C. 4
• D. 7