Unit 5 Study Guide
1) Wendy sells stuffed birds. She sells a stuffed bird for $24.90, and the sales tax is 5% of the sale price. About how
much is the sales tax on the bird?
2) Below is a table showing the different sale prices of a bicycle that Ben wants to purchase.
Store
Name
Regular
price
Discount
Bikes R Us
$230
15% off
Bike Boys
$190
$10 off
Bike World
$275
30% off
Ben wants to get the best deal. Which store offers the bike at the lowest price after the discount?
3) A salesman needed to sell a four–wheeler. He priced it at $2,500 the first day it was on the market. The second day he
reduced the price by 10%. What was the price of the four–wheeler after this reduction?
4) A wrestler competes in 20 matches. Of those matches, he wins 5. What percent of the matches did the wrestler win?
5) Kyle has $900 in a savings account that pays 3% simple interest. What is the amount of money Kyle will have in his
bank account after 3 years if he leaves his money in the bank?
6) A store buys shirts for $15 each and marks up the price by 20%. What is the price for a shirt at this store?
7) Julie invested $3,000 in a simple interest account for 2 years. At the end of the 3 years, she had earned $150 in
interest. What was the simple interest rate of the account?
8) Mr. Willis borrows $3,000 from his bank to buy a used car. The loan has a 6.4% annual simple interest rate. If it takes
Mr. Willis two years to pay back the loan, what is the total amount he will be paying?
9) At a pet store, 19% of the animals are cats. If there are a total of 50 animals at the pet store, which proportion can be
used to find x, the number of cats at the pet store?
10) In one year Angie’s height went from 58 inches to 60 inches. What was the percent of increase in Angie’s height?
(Round to the nearest whole number)
11) Erin purchased a TV for $200. Eight months later, the same TV was selling for $140. What was the percent of
decrease in the price?
Unit 5 Study Guide
12) Elijah estimated that there were 207 students at a soccer game. The actual number of students at the game was 290.
What was the percent error of his estimate? (round to the nearest whole number)
13) Mary and her sister each have a salad and a drink for lunch at a restaurant. A salad costs $6.75 and a drink costs
$1.35. Mary’s sister leaves a 15% tip. What was the total cost of the meal including the tip?
14) The Miller’s want to buy a new computer. The regular price is $749. The store is offering a 20% discount and a sales
tax of 6% is added after the discount. What is the total cost of the TV?
15) Jillian bought a novel at a bookstore on sale for 10% off its original price of $17.99. Jennifer bought the same novel
at a different bookstore for 20% off its original price of $22. Which person received the better deal?
16) Mr. Herbert bought a cell phone for $120 and the 7% sales tax was added at the register. Mr. Herbert gave the
cashier seven $20 bills, how much change should he receive?
17) Carlos bought an item online for $150 and he was charged a $9 fee for shipping. What percent of the sale price was
the shipping fee?
18) A carpet layer can put down 100 square feet of carpeting in 2.5 hours. How many hours will it take him to lay 300
square feet of carpet?
7th Math Unit 5 Constructed Response: Proportional Relationships
1) Zach earned $ 500 mowing lawns this month. Of his earnings, he plans to spend 28% repairing lawn equipment,
deposit 20% in his savings, and use 25% for clothes. He will spend the rest. How much will Zach have left to spend?
Show your work.
a. Repairing lawn equipment: $ ______________ (2 points)
b. Deposit in his savings: $_______________ (2 points)
c. Clothes: $_______________ (2 points)
d. Left to spend: (4 points) Explain how you found your answer using complete sentences.
Unit 5 Study Guide
Answer Key:
1. Sales Tax = $1.25
2. Bike Boys
3. $2,250
4. 25%
5. $981
6. $18
7. 2.5%
8. $3,384
𝑥
19
9. 50 = 100
10. 3%
11. 30%
12. 29%
13. $18.63
14. $635.15
15. Jillian got the better deal
16. $11.60
17. 6%
18. 7.5 hours
Constructive Response:
a.
Repairing lawn equipment: $ 140.00
b. Deposit in his savings: $100.00
c. Clothes: $125.00
d. Left to Spend: $ 135.00