Algebra H: 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

ax – 13 = 11

x= 24 / a

200

bx + g = 14

x= (14 - g) / b

300

(x/a) +g=-8

x= a(- 8 - g)

400

(x/y)-2p=10

x= y (10 + 2p)

500

(y/x) + r = v

x= y / (v - r)

Inequalities

100

Graph the following on a number line, then name a value that x could equal

x> 3

4,5,6....

200

Write an inequality to represent the following sentence:

Brooke went to the mall and spent no more than $50

m<=50

300

Solve and graph for the following:

-5x+2<17

x>-3

400

Solve and graph for the following

-50<7x+6<-8

-8<x<-2

500

Solve and graph for the following:

9x-1<-46 or 1-4x<-11

x<-5 or x>3

Absolute Value Equations

100

Solve and write as a solution set:

|x|-3

No solution

200

Solve for the variable and write in a solution set:

|2x+3|=7

{-5, 2}

300

Solve for the variable and write in a solution set:

3|x+6|-9=6

{-11, -1}

400

Solve for the variable and write using interval notation:

|x+3|-1<6

(-9, 3)

500

Solve for the variable and write using interval notation:

3|2x+8|>30

(-inf, -9) or (1, inf)