Ch. 1 Test Review: Solving Equations

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

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

Equations w/ Variables on Both Sides

100

5n - 2 = 8n - 14

n = 4

200

-4(-8p + 1) = 40p - 4 - 8p

Infinitely Many Solutions

300

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

n = -1

400

5x + 5 + 4x = 4 - 3x + 6 + 12x

No solution

500

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

n = 1

Absolute Value Equations

100

|8m-8| = 40

m = {-4, 6}

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. Check your solutions

300

3|4x+2|=6x

Did you check both answers?

400

-5|4p+4| = -40

p = {-3, 1}

500

2|g-5|+7 = 13

g = {2, 8}

Literal Equations

100

Solve: I=Prt for t

I/pr = t

200

Solve Ax + By = C for y

y= C-Ax/B

300

V = lwh   Solve for l

l=V/wh

400

Solve m + 2n= 7m for n

n = 3m

500

Nothing to see here. Move along.

I said move along!