Ratios & Proportions
7/x = 14/20
10
x - 7 ≥ 12
x ≥19
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)
Emilio drove 450 miles on 18 gallons of gas. How far can he travel on one gallon?
25 mpg
8x-8=160
x=-21
15/5 = x/2
6
4x + 3 < 31
x < 7
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
Aaron can run 4 miles in 30 min. How long does it take him to run 1 mile?
7.5 min
Five less than a number is twenty
Write and Solve
x-5=20
x=25
4/x = 16/20
5
-2x + 8 > 14
x < -3
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)
A candle company can make 360 candies in 8 hrs. How many candles are made per hour?
45 candles per hour
Write and Solve
7(x-12)=21
x=15
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
3(x - 2) ≤ 15
x ≤ 7
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
3 pounds of apples cost $8.37. How much is each pound?
$2.77 per pound
-7 + n/2 = 4
n=22
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
5x - 4 + 2x ≥ 24
x ≥ 4
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)
13 gal of gas costs $24.31. What is the cost per gal?
1.87 per gal
-4 + m/10 = 2
m=24