Inequalities
2 Step Equations
Fraction Operations
Proportions
Word Problems
100
  • Solve: x + 5 < 12


x < 7

100
  • 2x + 3 = 9 


 x = 3

100

1/2 + 1/4

3/4

100

Solve: x/4 = 2/3

x = 8/3 (2 2/3)

100

A movie ticket costs $8. If you spend $24, how many tickets did you buy?

→ 3 tickets

200

3y − 2 ≥ 7

y ≥ 3

200

3y − 4 = 11

 y = 5

200

3/4 − 1/8

5/8

200
  • Solve: 3/5 = y/10 


 y = 6

200

You need at least 60 points to pass. You have 45. Write and solve an inequality for how many more points you need?

45 + p ≥ 60 → p ≥ 15

300

2x + 4 ≤ 10

  • x ≤ 3


300

a/4 + 2 = 6

 a = 16

300

2/3 × 5/6

5/9

300

A recipe needs 2 cups of sugar for 6 cookies. How many cups for 18 cookies?

→ 6 cups

300

Twice a number plus 3 equals 15. What’s the number?

→ n = 6

400

A bus holds at most 40 people. If 25 are on board, write and solve an inequality for how many more can get on?

25 + p ≤ 40 → p ≤ 15

400

5b − 6 = 14

 b = 4

400

3/5 ÷ 2/3

9/10

400

A map scale is 1 in. = 5 miles. If two towns are 3 in. apart, how many miles apart are they?

 15 miles

400

A babysitter earns $6 per hour plus a $4 bonus. She wants at least $34. Write and solve an inequality?

 6h + 4 ≥ 34 → h ≥ 5 hours

500

Solve and graph: 4x − 7 > 9

4x > 16 → x > 4

500
  • 2(m + 3) = 18 

 m = 6

500

1 1/2 + 2 2/3

4 1/6

500

If 4 pencils cost $2, how much do 10 pencils cost?

→ $5

500

A $120 bicycle is discounted by 1/4. What’s the sale price?

 $90