Solving Equations & Inequalities Review

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

|2m-4| = 10

m = {-3, 7}

300

|x - 2| + 6 =10

m = {-2, 6}

400

-5|4p+4| = -40

p = {-3, 1}

500

2|g-5|+7 = 13

g = {2, 8}

Inequalities

100

Solve for x. 

-11 ≥ 6-2x-5

x ≥ 6

200

Solve for x. 

-2 ≥ 4x+10

x ≤ -3

300

Solve for x.

30-6x > -3(5+7x)

x > -3

400

Solve for x. 

2(6+4x) ≥ 12-8x

x ≥0

500

Solve for x. 

-2(9x+3) - 7x ≥ -10x - (12x+9)

x ≤ 1