Simplifying Expressions
Distributive
Property
Factoring
Circumference of Circles
Area of Circles
100

Simplify the expression:

6y – 2y + 8y


12y

100

Draw a model for this expression.  Write the outside factors and the inside areas.

5(8 + x)


(I will check this)

100

Fill in the missing parts:

___(x + ___) = 5x + 10

5(x + 2) = 5x + 10

100

What is the formula to calculate the Circumference of any circle?

C = dπ  or  C = 2πr  or  C = d • 3.14

100

What is the formula to calculate the Area of any circle?

A= πr2  

A= 3.14 • r • r

200

Simplify the expression:

4x – 7 + x

5x – 7  or  –7 + 5x

200

Use the distributive property to write an equivalent expression:

7(x + 8) = _________________

7x + 56

200

Write the factored expression:

2x – 12 = ___(_________)

2(x – 6)

200

Find the approximate circumference of a circle that has a diameter of 10 in.

Label your answer with the correct units.

C = 31.4 in

200

Find the approximate area of a circle that has a radius of 5 in.

Label your answer with the correct units.

A = 78.5 square inches

A = 78.5 sq. in

A = 78.5 in2

300

Simplify the expression:

3n – 8 + 2n + 8

5n

300

Use the distributive property to write an equivalent expression:

4(3x – 5) = _________________

12x – 20

300

Write the factored expression:

4x + 6

2(2x + 3)

300

Find the approximate circumference of a circle that has a radius of 10 in.

Label your answer with the correct units.

C = 62.8 in.

300

Find the approximate area of a circle that has a diameter of 8 in.

Label your answer with the correct units.

A = 50.24 square inches

A = 50.24 sq. in.

A = 50.24 in2

400

Simplify the expression:

k + 2w – 4k – w

–3k + w  or  w – 3k

400

Use the distributive property to write an equivalent expression:

–3(x – 9) = _________________

–3x + 27

400

Write the factored expression:

12 – 8y

4(3 – 2y)

400

Find the exact circumference of a circle that has a radius of 9 cm.

Label your answer with the correct units.

C = 18π

400

Find the exact area of a circle that has a diameter of 20 cm.

Label your answer with the correct units.

A = 100π square cm

A = 100π sq. cm.

A = 100π cm2

500

Simplify the expression:

5h – 4 + 3p – h – 5

4h + 3p – 9

500

Use the distributive property, then combine like terms to simplify this expression:

4(2x + 6) + 3x – 4 = _________________

11x + 20

500

Write the factored expression:

12x – 6y + 24

6(2x – y + 4)

500

What is the diameter of a circle that has an approximate circumference of 25.12 yards?

d = 8 yds.

500

What is the radius of a circle that has an approximate area of 28.26 square yards?

r = 3 yds