Chapter 3 Review

Absolute Value

100

l12-7xl = 26

x=-2

x=38/7

200

l2(x-3)l=14

x=-4

x=10

300

l2xl=42

x=21

x=-21

400

l3(x+1)l=12

x=3

x=-3

500

2lx-12l=66

x=45

x=-21

Solving for a Variable

100

Solve for x: –7 – 4(x – 12) = 9

x=8

200

Solve for x: 2(x5) = 18

x=-2

300

Solve for y: –2y + 1 = y – 5

y=2

400

Solve for m: m(3 – 4m) = 7 + 4(8 – m2)

m=13

500

Solve for x: 5x(x + 3) = (x)(5x – 3) + 36

x=2

Simplifying Like terms

100

(3 + x)(2x + 1)

2x² + 7x + 3

200

(2x – y)(x + 2y)

2x² + 3xy – 2y²

300

–4y(2x + 5)

–8xy – 20y

400

(3e + 2)(–2x – y – 4)

–6ex – 3ey – 12e – 4x – 2y – 8

500

Simplify: 4x³(x³)

4x⁶

Solving Equations

100

Solve for x: 3x² - 7x + 12 = (x - 4)(3x + 2)

x =  -20/3

200

Solve for x: 2(x5) = 18

 x = 14

300

For c = d(45), what is c when d = 100?

4500

400

For y = 6x + (–2), what is y when x = –2?

y=-14

500

For a = –2x², what is a when x = –4?

a=-32

Solving with Exponents

100

7³

343

200

100³

1,000,000

300

4^-2

1/16

400

1/2^-3

8

500

2h³/4h²

h/2