Ratios, Prop, Inequalities, Rate

Ratios & Proportions

100

7/x = 14/20

10

200

15/5 = x/2

6

300

4/x = 16/20

5

400

A baker uses a ratio of 4 cups of sugar to 9 cups of flour. If they use 36 cups of flour, how much sugar will they need?

16 cups of sugar

500

A car rental company rents vehicles with a fuel efficiency ratio of 15 miles per gallon. If a car travels 225 miles, how many gallons of fuel are used?

15 gal

Inequalities

100

x - 7 ≥ 12

x ≥19

200

4x + 3 < 31

x < 7

300

-2x + 8 > 14

x < -3

400

3(x - 2) ≤ 15

x ≤ 7

500

5x - 4 + 2x ≥ 24

x ≥ 4

Word Problem Inequalities

100

You need at least 20 points to win a prize. You already have 12 points. Write an inequality to show how many more points (p) you need

p + 12 ≥ 20 (or 12 + p ≥ 20)

200

You have $50 to spend at the fair. Ride tickets cost $3 each. Write an inequality to show how many tickets (t) you can buy

3t ≤ 50

300

A phone plan charges $15 per month plus $0.10 per text. You want to spend less than $25 per month. Write an inequality to show how many texts (t) you can send

15 + 0.10t < 25 (or 0.10t + 15 < 25)

400

An elevator can hold no more than 1,200 pounds. Five people are already on the elevator and they weigh an average of 180 pounds each. Write and solve an inequality to find how much more weight (w) can be added

5(180) + w ≤ 1,200 → 

900 + w ≤ 1,200 → 

w ≤ 300 pounds

500

You're saving for a $200 gaming headset. You already have $35 saved and earn $12.50 per hour babysitting. Write and solve an inequality to find the minimum number of hours (h) you need to work

35 + 12.50h ≥ 200 → 

12.50h ≥ 165 → 

h ≥ 13.2 hours (or at least 14 hours if discussing whole hours)

Unit Rate

100

Emilio drove 450 miles on 18 gallons of gas. How far can he travel on one gallon?

25 mpg

200

Aaron can run 4 miles in 30 min. How long does it take him to run 1 mile?

7.5 min

300

A candle company can make 360 candies in 8 hrs. How many candles are made per hour?

45 candles per hour

400

3 pounds of apples cost $8.37. How much is each pound?

$2.77 per pound

500

13 gal of gas costs $24.31. What is the cost per gal?

1.87 per gal

Solving Equations

100

8x-8=160

x=-21

200

Five less than a number is twenty

Write and Solve

x-5=20

x=25

300

Seven times the difference of a number and twelve is twenty-one

Write and Solve

7(x-12)=21

x=15

400

-7 + n/2 = 4

n=22

500

-4 + m/10 = 2

m=24