Course 1

Exponents

100

Write 7³ in expanded form. 

7 * 7 * 7

200

Write 4 * 4 * 4 *4 * 4 in exponential form. 

4⁵

300

Evaluate 3⁵.

243

400

What is the volume of a cube with side length 5 in?

125 in³ (inches cubed)

500

Evaluate 4⁶.

4096

Writing Equations

100

Write an equation to determine the area of a rectangle that has the following dimensions. Width = 10 cm, Length = 3 cm. Leave your answer as an equation.

Area = 10 * 3

200

Write an equation to determine the perimeter of a rectangle with width = 5 cm and length = 7 cm. Leave your answer as an equation.

5cm * 7cm = 35 cm²

Area = 5 * 7

300

Write an equation to determine the area of a rectangle that has the following dimensions. Width = 5 cm, Length = (a + 3). Leave your answer as an equation.

Area = 5(a + 3)

or Area = 5a + 15

400

Write an equation to determine the perimeter of a rectangle that has the following dimensions. Length = 4 units, Width =  b + 10. Leave your answer as an equation.

Perimeter = 4 + 4 + b + 10 + b + 10

Perimeter = 2b + 28

Perimeter = 2(4 + 10 +b)

Perimeter = 2(4) + 2(10+b)

500

Write an equation to determine the area of a rectangle that has the following dimensions. Length = 4x units, Width = x + 15 + x + x. Leave your answer as an equation.

Area = 4x( 3x + 15)

Area = 4x(x + x + x + 15)

Area = 12x² + 60x

Geometry

100

Find the area of rectangle with length = 3 ft and width = 21 ft. Include the correct units in your answer.

63 ft²

200

Find the area of rectangle with length = 7.5 ft and width = 6 ft. Include the correct units in your answer.

45 ft²

300

Find the volume of the rectangular prism with length = 3 ft, width = 6 ft and height 10. Include the correct units in your answer.

180 ft³

400

Find the height of the rectangular prism with length = 2 cm, width = 5 cm and volume 40 cm³. Include the correct units in your answer.

Height = 10 cm.

500

Find the volume of the rectangular prism with length = 1.2 in, width = 5 in and height 8 in. Include the correct units in your answer.

48 in³