Unit 6: Proportional Reasoning STUDY GUIDE

Express each ratio as a fraction in simplest form.

1. 15 vans out of 40 vehicles 2. 30 birds to 6 birds 3. 2 teachers to 30 students

Express each ratio as a unit rate. Round to the nearest tenth, if necessary.

4. $52 for 8 tickets 5. 200 yards in 32.3 seconds 6. 100 miles in 2.5 hours

7. Which costs more per notebook, a 4-pack of notebooks for $3.98 or a 5-pack of notebooks for $4.95?

Solve each proportion.

8. = 9. = 10.

State if each pair of ratios form a proportion. (yes or no)

11. 12. 13. 14.

Write a proportion that could be used to solve for each variable. Then solve. 15. If 12 cookies cost $3, how much do 16 cookies cost?

16. If 8 gallons cost $9.36, how many gallons cost $17.55?

17. A recipe that makes 72 cookies calls for 4 cups of flour. How many cups of flour are needed to make 48 cookies?

18. Complete the table.

5% 10% 15% 20% 12.5 25 75 1.8

Use the percent proportion to solve each problem. Show your work. Write a proportion that could be used to solve for each variable. Then solve.

19. Doctors estimate that 3 babies out of every 1000 are likely to get a cold during their first month. What percent is this?

20. A certain hamburger has 560 calories, and 288 of these are from fat. About what percent of the calories are from fat?

21. Of the students in a classroom, 60% are boys. If there are 20 students, how many are boys?

22. If 28 of the 50 soup cans on a shelf are chicken noodle soup, what percent of the cans are chicken noodle soup?

23. Find the discount: $35 skirt, 20% off. 24. A dictionary is on sale at a 15% discount. Find the sale price of the dictionary if it normally sells for $29.99.

25. If the sales tax for the city of Los Angeles is 9.75%, how much tax would you pay for an item that costs $200?

26. Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If the total amount of the dinner was $42, what should be paid to the waiter as a tip?

27. Each pair of figures is similar. Find the missing side. Draw curved lines for the corresponding congruent angles.

28. Use a proportion to solve the scale drawing problem. Draw a picture to help you solve.

Sam’s parents gave him a map to reach his house. He is 1.5 cm from his home. If each 3 cm on the scale drawing represents 5 km, how far is he from his house?