7th Grade

Circles

100

What are the formulas for the circumference and area of a circle?

C = pi * diameter

A = pi * radius²

200

Find the circumference of a circle with a diameter of 14 feet.

C = 44 feet

300

Find the area of a circle with a radius of 6 in.

Area = 36pi in², which is about 113.04 in²

400

Find the area and circumference of a circle with a diameter of 16 cm.

C = 50.24 cm

A = 64pi cm², which is about 201 cm²

500

Find the remaining area of a circle with a radius of 5 in after a circle with a radius of 2 in has been cut out.

A = 21pi in², which is about 66 in²

Order of Operations

100

(12/3)² + [(10 - 4) + 6²]

58

200

10 + [10 + (10 - 5)²] + 6

51

300

[(18 - 3) - (10/2)²] * 3

-30

400

20 - 3 + 5 * 4 / (1 - 3)

7

500

8 + 1/2 - 2 * (3/2)

5.5

Distributive Property

100

Describe the Distributive Property

The Distributive Property states that to multiply a sum or difference by a number, you must multiply the number outside the group by each term inside the group.

200

5(3 + x)

15 + 5x

300

-2(x - 9)

-2x + 18

400

(-4 + 6x)(-3)

12 - 18x

500

6(x + 2y - 5)

6x + 12y - 30

Simplifying Expressions

100

Simplify:

12x - 3 + 4x + 5

16x + 2

200

Simplify:

-3x + 3s - 2s + 6 + 3x

s + 6

300

Simplify

3(x + 3x - 4)

12x - 12

400

Expand:

3x(2 + 5)

21x

500

Simplify

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

-6x + 2