8th Grade Final Review

Geometry

100

What is the volume of this rectangular prism? 

Length - 20m

Width - 10m

Height - 16m

3200m³

200

What is the volume of this rectangular prism? 

Length - 22.3m

Width - 9.8m

Height - 17.6m

3846.304m³

300

What is the volume of this cylinder? to the nearest whole cube unit. 

Radius - 2m

Height - 16m

201m³

400

What is the volume of this cylinder? to the nearest whole cube unit. 

Radius - 6m

Height - 12m

1357m³

500

What is the volume of this cone? to the nearest whole cube unit. 

Radius - 12m

Height - 30m

4524m³

Solve for x

100

4x - 9 = 27

x = 9

200

1.5x - 1 = 1.7x - 5

x = 20

300

-3(x + 7) = -18

x = -1

400

5(x + 2) = -15

x = -5

500

8 - 2(x - 3) = 5x

x = 2

Systems of Equations

100

y = 2

x + y = 14

(12,2)

x= 12 y= 2

200

Solve:

y = -2x + 4

y = 2x + 4 

(0,4)

x=0 y=4

300

Solve:

y = -x - 3

7x + 2y = 4

(2, -5)

x= 2 y= -5

400

Solve:

x = -y + 5

3x = 2y + 5

(3,2)

x= 3 y= 2

500

Solve:

5x + 2y = -2

x - y = 8

(2, -6)

x= 2  y= -6

Pythagorean Theorem

100

Find the missing side of this right triangle:

a = 16

b = 12

c =

c = 20

200

Find the missing side of this right triangle:

a = 

b = 6.1

c = 8.1

a = 5.3

300

Find the missing side of this right triangle:

a = 6

b = 

c = 9

b = 6.7

400

A 10 foot long slide is attached to a deck that is 5 feet high. Find the distance from the bottom of the deck to the end of the slide. to the nearest tenth. 

8.7 feet

500

A 20 foot ladder is placed under a window. The bottom of the ladder lands 13 feet away from the base of the building. How far up is the window? Round to the nearest tenth.

15.2 feet