Math Review!

Distributive Property

100

2(1 + 2)

2 + 4

200

2(x - 3)

2x - 6

300

4(2x + 8)

8x + 32

400

7(7x + 2y)

49x + 14y

500

13(x + 4 - 2y)

13x + 52 -26y

Combine Like Terms

100

2x - 4 + 3x

6x - 4

200

4x + 2y - 1y 

4x - y

300

14x + 10x² - y + 4y

14x + 10x² +5y

400

(10.5y³ + 6x) + (5.5y³ - 2x) 

16y³ + 4x 

500

(5x + 5x²) + (5x³ - x²) - 2x

3x +4x² + 5x³

Find the Coefficients

100

12x + 19y 

12 and 19

200

54 - x + 2y²

1 and 2

300

122y + 18x + 2 + 18y - 17x

122, 18, 18, 17

400

12.8y² + 82x⁴ - 101w²

12.8, 82, 101

500

1.11⁵ + 13y - (82x² + 92x) - 12 + 24q

13, 82, 92, 24

Algebraic to Word

100

Three more than the number two

2 + 3

200

Eight times seven, minus six

(8 x 7) - 6

300

Six more than the number f, times six

6+f(6)

400

The cube of the number w, subtracted by one

w³ - 1

500

One-half of the number g, times three-fourths

1/2g x 3/4

or

1/2g(3/4)

Order of Operations

100

6 + 21 ÷ 7

9

200

50 ÷ 5(2 + 3)

2

300

(4² - 6) + (27 + 3³)

64

400

[12 -3 ÷ (2² - 3)] x 10

90

500

27 ÷ 3² + 43 - 11

35