Proportions, Equations, & Inequalities

Unit Rates/Proportions

100

If I can buy 5 bananas for $2, how many bananas can I buy for $4?

10 bananas

200

If a car travels 200 miles in 4 hours, how fast is the car going in miles per hour?

50 mph

300

5/2=35/?

14

400

z/3=56/21

8

500

Chad sells 5 sandwiches to his friend for $3. How much did he sell each sandwich for?

$3/5 sandwiches = $0.60 per sandwich

Two-Step Equations

100

Solve the equations. 

14-3g=32 

g=-6

200

Solve the equations. 

4w -21=-5

w=4

300

2(3x - 5) = 6x + 1

No Solution

400

Solve the equations. 

d/15 +26=33 

d=105

500

x/3+12=-18

x=-90

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

Inequalities

100

Solve the inequalities. 1≥x-9 

x ≤ 10

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

-2x - 6 ≤ 12

x ≥ -9

Multi-Step Inequalities

100

Solve the inequalities. y+7>11 

y>3

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 

8< z/-4 + 3 <15? 

-20>z>-48