Chapter 1 Review

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Misc. Equations

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

7k - 8 + 2(k + 12) = 52

k = 4

Word Problems

100

Six less than a number is twenty-four

x - 6 =24

200

Find two consecutive Integers whose sum is 133.

66 and 67

300

Three times the sum of a number and two is zero.

3(x + 2) = 0

x = -2

400

Find three consecutive odd integers whose sum is -231

-79, -77, -75

500

Seven less than four times the sum of a number and five is equal to 21.

4(x + 5) - 7 = 21

Absolute Value Equation

100

|x+2|=4

x = 2, x = -6

200

|-2x| - 5 = 15

x = -10, x = 10

300

|3x-7| = -5

No Solution

400

-5|6-3n| = -30

n = 0, n = 4

500

|x - 4| = |x + 6|

x = -1

Rearranging Equations

100

Solve for y:

y + 5x = 17

y = 17 - 5x

200

Solve for y:

4y - 36x = 28

y = 9x + 7

300

Solve for x:

y = 9x - 2x

x = y/11

400

Solve for x:

d = 5x +10xf

x = d/(5+10f)

500

Given the formula, solve for w:

P = 2l +2w

(P + 2l)/2

P/2+l