GSE Math 7
Unit 3: Ratios & Proportional Relationships
Study Guide - Key
Name _________________________________
1. What is the unit rate if there are 1,760 Calories in 8 servings? 220 calories for one serving
2. Which size of yogurt shown in the table has the lowest unit price? B
A. 6 oz
C. 10 oz
B. 8 oz
D. 32 oz
Size (oz)
6
8
10
32
Cost ($)
0.89
1.04
1.69
4.79
3. The table shows the cost for ordering a certain number of pizzas. What is the value of x if the cost is
proportional to the number of pizzas ordered?
2
3
4
5
$19.98
$29.97
$39.96
$49.95
Pizzas Ordered
Cost
4.
118 59
= 𝑧
13
z = 6.5 or 6 ½
5. The table shows the relationship between time and distance. Which graph best represents the data in the
table? H
F.
H.
Speed
Time (s)
1
5
10
Distance
(m)
4
20
40
G.
I.
6. What is 138% of 250? 345
7. What percent of 80 is 8? 10%
8. Twenty-four percent of the 25 swim team members are new on the team. How many members are new? 6
9. While shopping, Lucinda spent $48. If the amount she spent was 15% of her savings, how much savings did
she have before she shopped? $320
10. Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he
should leave for the tip? $2.90 is the amount of the tip.
11. A shirt costs $75; it is on sale for 20% off. What is the amount that is discounted? Discounted amount is $15.
Sale price would now be $60.
12. Jeans cost $85; the sales tax is 7%. What is the total cost of the jeans? Total cost is $90.95.
13. The Wares want to buy a new computer. The regular price is $1049. The store is offering a 30% discount
and a sales tax of 5% is added after the discount. What is the total cost? Total cost is $771.02.
14. In Mrs. Preyer’s science class, 37.5% of the students have completed their science project. Of the remaining
students, 40% have completed only half of their science project. If there are 32 students in Mrs. Preyer’s
science class, how many of these students have completed half of their science project? 8
15. Stereo systems at Jason’s Electronics are discounted 15%. If the tax rate is 6%, how much will a $375 stereo
system from Jason’s Electronics cost? Discount is $56.25. Tax is $19.12. Final cost of stereo is $337.87.
16. Find the simple interest rate. William deposits $1000 in his savings account for 2 years at a 5% interest rate.
How much interest did he earn? $100
1
17. A scale drawing of an automobile has a scale of 1 inch = 2 foot. The actual width of the car is 8 feet. What is
the width on the scale drawing? 16
18. On a map, the scale is 1 inch = 125 miles. What is the actual distance between two cities if the map distance is
4 inches? 500
19. A pair of shoes cost $52 and a dress was $70 at Belk. Abbigail has a coupon for 25% off at the register. The
sales tax for Cobb County is 6%. What is the final cost at the register? $96.99
20. The Ballew family ate at a Mexican restaurant for dinner. The entire meal cost $27 and they want to leave an
18% tip for the waiter. What is the final cost of the meal? $4.86 is the tip. Final cost of meal is $31.86.
2
7
21. Johnathan can jog 3 5 miles in 8 hour. Find his average speed in miles per hour. 3.8 miles per hour