Master ratios, unit rates, and proportional reasoning: essential skills for algebra, science, and everyday problem solving.
Solve each problem. Show your work. Express ratios in simplest form.
Set up and solve proportions, unit rates, and percent problems.
Math - Grade 6-8
- 1
A car travels 240 miles in 4 hours. What is the unit rate (speed)?
- 2
Simplify the ratio 18:24.
- 3
Solve for x: 3/4 = x/20.
- 4
A recipe uses 2 cups of flour for every 3 cups of oats. How many cups of flour are needed for 9 cups of oats?
- 5
On a map, 1 inch represents 50 miles. Two cities are 3.5 inches apart on the map. How far apart are they?
- 6
What is 15% of 80?
- 7
A shirt originally costs $40 and is on sale for 25% off. What is the sale price?
- 8
If 6 workers can complete a job in 8 days, how many days will it take 12 workers to complete the same job?