CLT & Distribution
Composite Shapes
Simplifying Expressions
Write/Solve
Volume
100

Simplify

3x - 5 + 5x + 10

8x + 5

100

Find the perimeter

55.7in

100

Simplify

-4(3x + 9) - 12

-12x - 48

100

Translate the following into an algebraic expression:

Half the sum of x cubed and 7

(1/2)(x3 + 7)

100

Find the volume. Round to the nearest tenth.

167.5in3

200

Simplify

7(8 + 9x) - 12x

51x + 56

200

Find the area

42cm2

200

Simplify

18 + 3x(2 - 4)

-6x + 18

200

Translate the following into an algebraic expression:

Three less than quotient of the square root of x and 8

(√x)/8 - 3

200

Calculate the volume of the pyramid.

32cm3

300

Simplify

4 - 2(x+5) + 3x

x - 6

300

Find the area

189.25in2

300

Simplify

7(3x - 4) - 6(-2x + 9)

33x - 82

300

Evaluate x2 - |y + 3| when x=4 and y=-7

12

300

Find the volume. Round to the nearest tenth.

3,306.4cm3

400

Simplify

4x2 + 3 + 5x - 2x2 + 7 - 3x

2x2 + 2x + 4

400

Find the area of the composite shape.

800in2

400

Simplify

x(3x - 9) + 2x - 7

3x2 - 7x - 7
400

Evaluate (√(x-z))/4 + y when x = 12, y = 19, and z = -4

20

400

A rectangular prism has a volume of 2,946m3. What is the approximate volume of a pyramid with the same dimensions?

982m3

500

Simplify

-3xy + 4x2 + 7y - 8z - 5x2 + 7xy - 9y + 18

-x2 + 4xy - 2y - 8z + 18

500

Find the perimeter in terms of x.

2(12x) + 2((1/2x - 3) + (5x-2) + 4x)

24x + 2(0.5x - 3 + 5x - 2 + 4x)

24x + x - 6 + 10x - 4 + 8x

43x - 10

500

Simplify

0.5x(1.5x - 3.75) + 9.25(x + 8.5)

0.75x2 + 2.375x + 78.625

500

Evaluate x1/2 - z2 + y3 when x = 49, z = 2.5, and y = 3

27.75

500

A cone with a height of 18cm has an approximate volume of 5,652cm3. What is the radius of the cone?

10cm