Ch. 1 Test Review: Solving Equations

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

-108 = -8(x + 6) - 4

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

-93 = 7(-3k - 8) + 5

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

-4(-8p + 1) = -4 - 8p

p = 0

300

Solving Equations

6(6n - 2) = 8n - 40

n = -1

400

Solving Equations

5x + 5 + 4x = 4 - 3x + 6

x= 5/12    or    x= 0.41667

500

Solving Equations

-5(8n - 4) - n = - 16 - 5n

n = 1

Absolute Value Equations

100

How many solutions can you have when solving absolute value equations?

Two or None

200

List the general steps you follow for solving absolute value equations.

1. Isolate the absolute value expression using inverse operations

2. Set up two equations with the inside of the absolute value, one equal to the positive and one equal to the negative

3. Solve for the variable

4. List your solutions as a solution set

300

|8m-8| = 40

m = {-4, 6}

400

-5|4p+4| = -40

p = {-3, 1}

500

2|g-5|+7 = 13

g = {2, 8}

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= 16

500

16 = x/2

x= 32

Proportions

100

Solve: (3/5) = (x/20)

x=12

200

If 4 cookies cost $9.50, how much would it cost if I bought 10 cookies?

$23.75

300

Solve: (x+2)/(8) = (3/4)

x=4

400

Solve: (x-2)/(x+10) = (3/9)

x=8

500

Solve: (x-4)/(2x+8) = (9/15)

x=-44