8th Grade Math End of the Year Review

Equations

100

4x = -20

x=-5

200

3x + 8 = 23

x=5

300

x + 4.2 + 2x =10.5

 x=2.1

400

4x + 5 = 2x -7

x= -6

500

6y + 6y -2y = 4(4+ y)

Infinite Number of Solutions

Volume

100

Find the Volume of a rectangle that measures 4 in by  6 in by 2 in.

48 cubic inches

200

Find the volume of a cube that side measures 8 cm.

512 cubic cm

300

Find the volume of a cylinder with a radius of 2 ft and a height of 4 ft.

50.24 cubic ft.

400

Find the volume of a cone with a radius of 2 in and a height of 4 in.

16.75 cubic in

500

Find the volume of a sphere with a radius of 2 meters.

33.49 cubic meters

Pythagorean Theorem

100

What is the formula for the Pythagorean Theorem?

a² + b² = c²

200

If a triangle has the side measurements of 3 in, 4 in and 5 in; is it a right triangle?

Yes

300

Find the missing side of a right triangle:

a= 6 cm

b= 8 cm

c= 10 cm

400

Find the missing side of a right triangle.

a=8 in

c= 17 in

b= 15 in

500

A ladder that is 13 m tall is leaning against a wall that is 12 m tall, how far is the bottom of the ladder from the wall.

The ladder is 5 m from the wall.

Exponents

100

n³ x n⁵

n⁸

200

x¹⁰ / x⁷

x³

300

2a³ x 4a

8a⁴

400

(4x³y⁵)²

16x⁶y¹⁰

500

5m³n⁴ /  m⁴n³

5n/m

Systems of Equations

100

x + y = 4

y =3

(1,3)

200

x + y = 8

-x + 2y =10

(2,6)

300

2x + y =5

-x + y = -1

(2,1)

400

y= -4x + 2

y= x -3

(1,-2)

500

x  + 3y =24

x = -3y +10

No Solution