Chapter 1 Review

Solving Simple Equations

100

z + 3 = -6

z = -9

200

2.6 = -0.2t

t = -13

300

n/-5 = -2

n = 10

400

11x + 1 = -1

x = -2/11

500

2/3x + 5 = 3

x = -3

Solving Multi-Step Equations

100

3y + 11 = -16

y = -9

200

6 = 1 - b

b = -5

300

n + 5n + 7 = 43

n = 6

400

-4(2z + 6) - 12 = 4

z = -5

500

3/2(x - 2) - 5 = 19

x = 18

Solving Equations with Variables on Both Sides

100

3n - 3 = 4n + 1

n = -4

200

11x + 1 = -1 + x

x = -1/5

300

-2x = 3x + 10

x = -2

400

5(1 + x) = 5x + 5

infinitely many solutions

500

3(n + 4) = 1/2(6n + 4)

no solution

Solving Absolute Value Equations

100

|x - 5| = 3

x = 8 and x = 2

200

|y + 3 | = 17

y = 14 and y = -20

300

|2x + 6| = 4x

x = 3 and x = -1

400

-2|5w - 7| + 9 = -7

w = 3 and w = -1/5

500

|x - 2| = |4 + x|

x = -1

Rewriting Equations and Formulas

100

Solve for m in y = mx + b

m = (y - b)/x

200

Solve for y: 2x - 4y = 20

y = 1/2x - 5

300

Solve for y: 8x - 3 = 5 + 4y

y = 2x - 2

400

Solve for y: 3x + 4y = 9

y = 3 - 4/3x

500

A = 1/2bh; solve for h.

h = (2A)/b