GSE Math 7 Unit 3: Ratios & Proportional RelationshipsStudy Guide

Name ______

  1. What is the unit rate if there are 1,760 Calories in 8 servings?
  1. Which size of yogurt shown in the table has the lowest unit price?
Size (oz) / Cost ($)
6 / 0.89
8 / 1.04
10 / 1.69
32 / 4.79

A. 6 oz C. 10 oz

B. 8 oz D. 32 oz

  1. 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?
  1. =

  1. The table shows the relationship between time and distance. Which graph best represents the data in the table?

F. H.

Speed
Time (s) / Distance (m)
1 / 4
5 / 20
10 / 40

G.I.

  1. What is 138% of 250?
  1. What percent of 80 is 8?
  1. Twenty-four percent of the 25 swim team members are new on the team. How many members are new?
  1. While shopping, Lucinda spent $48. If the amount she spent was 15% of her savings, how much savings did she have before she shopped?
  1. 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?
  1. A shirt costs $75; it is on sale for 20% off. What is the amount that is discounted?
  1. Jeans cost $85; the sales tax is 7%. What is the total cost of the jeans?
  1. 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?
  1. 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?
  1. 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?
  1. 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?
  1. A scale drawing of an automobile has a scale of 1 inch = foot. The actual width of the car is 8 feet. What is the width on the scale drawing?
  1. 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?
  1. 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?
  1. 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?
  1. Johnathan can jog miles in hour. Find his average speed in miles per hour.