Chapter 2 Review

Translate into algebra

100

Amy's age x years ago if she is 14

14 - x

200

12 less than a number

n - 12

300

the product of a number and 8

8n

400

-92 decreased by a number

-92 - n

500

7 more than the quotient of a number and 5

n/5 + 7

Evaluate

100

4x - 3y + 2x - 5y when x = -4, y = 6

-72

200

6z - 36 when z = 4

-12

300

12b + 2/-11 when b = -2

-2

400

-4(x² + 4x +1) when x = 3

-88

500

4r/3 x 15 - 150 when r = 48

810

Properties

100

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

Commutative Property of Multiplication

200

-12 * (21 * 1) = -12 * 21

Identity Property of Multiplication

300

8(12 * 3) = (8 * 12)3

Associative Property of Multiplication

400

5 * 11+ 5 * (-4) = 5(11 - 4)

Distributive Property

500

[8 + (-8)] + w = 0 + w

Inverse Property of Addition

Simplivaluate

100

(a + 18) - (b - 14) when a= -2, b=8

22

200

ab + cx - y when a=-2, b=8, c=3, x=-4, y=6

-34

300

3(x - y) + 5(2x + 3y) when x=-4, y=6

20

400

9(2y) + (-21 + 11y)  when y = 6

153

500

2b - 4 + b divided by 5a when a=-2, b=8

-2

Simplify

100

-16y + (11y - 19)

-5y - 19

200

[(3w) - ( -8 + 19)w]⁰

1

300

4x³ - (2x)³

-4x³

400

9a(-7b)(2a)(-3)

378a²b

500

12r(-7r - (-7 + 13)r

-90r