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

Literal Equations

100

Solve: I=Prt for t

I/pr = t

200

Solve Ax + By = C for y

y= C-Ax/B

300

(4/3)(p-q)=r 

3/4 r + q = p

400

Solve m + 2n²= 7m for n

n = + or - square root of 3m

500

What are literal equations? Give an example.

Equations with multiple variables.

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