Ratios & Unit Rate
A recipe uses 3 cups of sugar for every 4 cups of flour. How many cups of sugar are needed for 12 cups of flour?
9 cups
Eleanor deposits 20% of the money she earns each week. If she earns $85 each week, how much does she deposit each week?
$17
Evaluate 1/4 * 23
2
Samantha earns $462.30 each month. Write an expression for earnings in m months.
$462.30m
A business owner has made at most $4,000 in profit each week. Write an inequality for profit p.
p ≤ 4000
Patrick paid $4.00 for 5 peaches. What is the unit price per peach?
$0.80
Greg practiced 12 minutes, which is 40% of the practice time he needs today. How many more minutes does he need to practice?
18 more minutes
Owen’s cube side = 7 inches. Pat’s cube side = 7 + 3 inches. Carly’s cube side = 1/2 of Pat’s. What is Carly’s cube volume in cubic inches? (Volume = length x width x height)
125 inches3
Solve 62.75 + x = 92. Show solution.
x = 29.25
Is 5 a solution to 12 + 6x ≤ 99?
Yes
Jacob bought 7 T‑shirts for $32.90. What is the cost per T‑shirt? (Round to cents)
$4.70
A group sold 120 of 200 white hats and 210 of 300 black hats. Which color had the greater percentage sold? Show percentages.
White hats = 60%
Black hats = 70%
Black hats sold more.
Factor the expression 5x − 15 (write as a product)
5(x - 3)
Ted walks 3.1 km farther than David. Write an equation relating Ted (t) and David (d). If Ted walks 5.4 km, how far did David walk?
t = d + 3.1
5.4 = d + 3.1
d = 2.3; David walked 2.3 miles
Researchers dove to −60 ft on a first dive. The second dive is deeper. Write an inequality for depth d of the second dive.
d < -60
A market sells 7 oranges for $2.45. How much will 8 oranges cost?
$2.80
A book has 280 pages. Ramon reads 25% each night. How many pages per night will Ramon read?
70 pages
Simplify: 12(3+m)
36+12m
Solve 1/3t = 15
t = 45
The daily high temperature has been colder than −24ºF for three weeks. If you graph the inequality, will the circle be open or closed on −24 on the number line?
Open (-24 is not included in the solution set)
Dennis runs 3 miles in 20 minutes and keeps that pace for 1 hour. Cindy runs 6 miles in 30 minutes and keeps that pace for 1 hour. How many more miles will Cindy run than Dennis in 1 hour?
Dennis runs 9 miles in one hour.
Cindy runs 12 miles in one hour.
Cindy runs 3 miles more than Dennis.
Nora already read 30% of a 280‑page book. How many more pages does she have left to read?
196 pages
Compare 27 and 72. What is the value of each? Which is larger?
72 = 49
27 is larger
Bobby has 20 cookies. He gives some to Naomi, then he has 4 cookies left. Write and solve an equation with a variable to represent this word problem.
20 - n = 4; n = 16
A diver’s depth is no more than 90 feet below sea level. If depths are recorded as negative numbers, write the inequality for depth d.
d ≥ -90