7th Grade Math Unit 4 CUA Review (SY2024-2025)

Use the protractor to measure the angle in the degrees.

• 130

• 115

• 120

• 60

Given that ∠MCL = 180° and ∠XQR = 180°, which equation could be used to solve problems involving the relationships between ∠XQL and ∠MQR?

• (146 - 4b) = (122 - 1b)

• (146 - 4b) + (122 - 1b) = 180

• (122 - 1b) - 180 = (146 - 4b)

• (122 - 1b) - 360 = (146 - 4b)

Consider the diagram of supplementary angles to the left. What is the value of x?

• 12.4

• 62

• 16.4

• 82

The sum of the measure of angle A and angle B is 180°.

The measure of angle A is (2x + 15)°

The measure of angle B is 145°

The relationship between angle A and angle B is ___________

To solve for the value of the variable, x, use this equation _________

The variable, z, is equal to __________

Therefore, the measure of angle A is _____________

• Supplementary

• (2z + 15) + 145 = 180

• 10

• 35

In the neighborhood park there is a circular grassy picnic area, but half of the grass has died. The city wants to replant the grass, but needs to know the square footage of the damaged area. If the circular picnic area is 150 feet across, what is the square footage of the damaged area? Let π = 3.14.

Responses

• 471 sq. feet

• 8831.25 sq feet

• 17662.5 sq feet

• 35325 sq feet

• 70650 sq feet

Derrick has a white cylindrical storage box that he would like to decorate with patterned paper. The radius of the box is 6.5 in. and the height is 10 in. 

How much paper will Derrick need to cover the entire box? Use π=3.14.

Responses

• 673.53 in²

• 1,326.62 in²

• 2,918.63 in²

• 540.87 in²

Elise wants to build a wooden box to store her art supplies. She has decided that the length of the box will be 12 in, the width will be 10 in and the height will be 8 in. 

What is the minimum amount of wood Elise will need to build her box?

• 960 in²

• 592 in²

• 296 in²

• 460 in²

Stephanie will slice a cylinder into two congruent pieces. Which two-dimensional plane sections could result from the slice Stephanie will make? Select all that apply. 

• Pentagon

• Circle

• Hexagon

• Rectangle

• Triangle

A cone and a sphere are shown.

Which 2-dimensional shape is a cross section of the cone, but not the cross section of the sphere?

• Triangle

• Circle

• Square

• Trapezoid

Find the volume of the rectangular prism.

• V = 5632 in³

• 2816 in³

• 7744 in³

• 480 in³