Algebra AB Review

Absolute Value

100

|x|=7

x=7 or x=-7

200

|x|=-8

No Solution

300

| x - 2| = 8 

Solve for X

x=10 or x=-6

400

3 |x + 4| = 10

Solve for x

x= 26 or x=-34

500

1/4 |10x - 10| = 25

x=11 or x=-9

Variables on Both Sides

100

3x + 5 = 2x -10 

Solve for X

x=-15

200

-5w - 9 = 3w + 7 

Solve

w=-2

300

7x = 3x - 52

Solve for x

x=-13

400

3p - 8 = 13 - 4p

Solve for x 

p=3

500

3(m+5) = 2m +10

Solve for m 

m=-5

Literal Equations

100

a= b + 2

Solve for b

b = a - 2

200

x = y - z 

Solve for y

y = x + z

300

4x + 2y = 10 

Solve for y

y = 5 - 2x

400

4m - 3n = 8 

Solve for m

m = (8+3n)/4

500

y= (x + z) /3

Solve for z

z = 3y -x

Mixed Category

100

|-5| = ?

Find the solution  

5

200

- |6| = ?

Find the solution

-6

300

|x + 3| = -3

No Solution

400

y = mx + b 

Solve for x

x = (y - b) /m  

500

6z - 15 = -2z - 7 

Solve for x

z= 1

Mixed Category

100

| x|= 100

x=100 or x=-100

200

What is a variable?

A letter 

300

-x + 2 = 3x - 6 

Solve for x 

x = 2

400

3x - 12 = 5x +10 

Solve for x 

x = -11

500

P=2a + b 

solve for a

a = (P-b)/ 2