Expressions, Equations, & Inequalities

Two-Step Equations

100

Solve the equations. 

14 - 3g = 32 

g=-6

200

Solve the equations. 

w/4 -21=-3

w=72

300

Kylee belongs to a book club that charges a one time 20 dollar enrollment fee and $3 per audio book she purchases.  If Kylee spent a total of 80 dollars in her first month of the book club, how many audio books did Kylee purchase?

20 audio books

400

Solve the equations. 

d/15 + 26 = 33

d=105

500

Write the verbal sentence as an equation and solve. Five less than twice and a number is 7.

2x - 5 = 7

x = 6

Like Terms & Parentheses

100

Solve the equation. 

6(x-1)=12 

x= 3

200

Solve the equations. 

5+2(x-2)=19 

x=10 

300

Solve the equations. -5(3n+5)=20 

n= -3 

400

Solve the equations. 42=18t+4(t+5) 

t=1 

500

What is the solution of the equation: 

-3(2x-1)=-21 

4

Inequality Expressions

100

A mechanic charges a $50 fee plus $75 per hour.  You hope the total cost of repairs will be less than $350.

50 + 75h < 350

200

Tammi's teacher assigned at least 150 pages of reading homework over spring break.  Tammi has already read 30 pages and plans to read 20 pages a day.

30 + 20d >= 150

300

Becca joins a gym that charges a $150 starting fee, plus $50 per month.  She will quit before she has paid a total of $1,000.

150 + 50m < 1,000

400

Michael has no more than $20 to spend at the movies.  He spend $8 on a ticket and buys snacks for $3 each.

8 + 3s <= 20

500

Mr. Snuggles weigh 24 pounds.  He need to weigh less than 17 to be considered healthy.  If he loses 1/3 of pound each week, how many weeks will it take for him to be healthy?

24 - 1/3w < 17

Inequalities

100

Solve the inequalities. 1≥x-9 

10≥x 

200

Solve the inequalities. 5+m+8≥14

m≥1 

300

Solve the inequalities. a/2 < -9

a<-18

400

Solve the inequalities. d/-11 ≤6 

d≥-66

500

Lawson went to Frankie's Fun Park to go play mini golf.  Each game of mini golf costs $10 to play.  Write an inequality representing how many games Lawson can play if he wants to spend no more than $40.

x is less than or equal to 40.

Multi-Step Inequalities

100

Solve the inequalities. 2y+7>11 

y>2

200

Solve the inequalities. 11-4z<-1

z>3 

300

Solve the inequalities. 3+b/3<7

b<12

400

Solve the inequalities. x/-3 -8≥-3

x≤-15

500

What is the solution of the inequality

z/-4 + 3 < 15

 ? 

z>-48