Learning Check #4 Mix

1. 1. Find the area of the shaded region.

• 374 yd²

• 340 yd²

• 153 yd²

• 276 yd²

2. 2. Find the volume of the triangular pyramid shown.

• 240 cm³

• 480 cm³

• 160 cm³

• 80 cm³

3. 3. Use the net to determine the lateral surface area of the pyramid shown.

• 220 cm²

• 1100 cm²

• 440 cm²

• 320 cm²

4. 4. A rectangular prism and its dimensions are shown in the diagram.

• 200 cm²

• 108 cm²

• 145 cm²

• 220 cm²

5. 5. Solve for x.

-3x + 7.5 = 19.5

• 5

• -4

• -3

• -6

6. 6. Solve and graph the inequality shown.

• x ≥ 18

• x ≥ 24

• x ≥ 6

• x ≥ 8

7. 7. The two trapezoids below are similar. What is the length of segment RS?

• 11.5 m

• 8.4 m

• 4.6 m

• 10 m

8. 8. Which equation represents the linear relationship shown?

• y = 1/2x - 4

• y = 7x - 4

• y = -1/2x + 7

• y = 2x + 7

3. 9. Choose the equation(s) that can be used to find the value of x. (check all that apply)

• (x + 25) + 32 + 2x = 180

• 3x + 47 = 90

• x + 32 + 15 = 180

• 3x + 47 = 180

10. 10. A carton of milk in the shape of a rectangular prism has a leak. The dimensions of the carton are 8 inches by 4 inches by 3 inches. If the rate in which the milk is leaking is 6 cubic inches per minute, how long would it take for the milk carton to completely empty?

• 24 minutes

• 16 minutes

• 6 minutes

• 4 minutes