ACC Unit 4 Test Study Guide
Test Date: Friday, January 9, 2016
Topics:
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All Topics from Unit 1, Unit 2, and Unit 3
Ratios
Unit Rates
Ratio Tables and Graphs, Tape Diagrams, and Double Line Diagrams (see below)
Percents
Percents and Decimals
Percent Increase and Decrease
Percent-Discounts, Tax, Tip
Measurement Conversions
*To study, you should complete odd numbered problems from the pages above so that you can check if you
got the correct answer or not in the back of the textbook. Selected answers begin on Pg. SA1. You should also
visit our class website and our Google Classroom and practice using the online links provided.
Vocabulary:
 All vocab from Unit 1
 All vocab from Unit 2
 All vocab from Unit 3
 Ratio table
 Unit Rate
Ratio Tables:
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Tape Diagram
Double Line Diagram
Percent-per 100
1. Ben and Abby are saving money for Christmas shopping. Ben saves $3 for every $7 Abby saves. Create a
ratio table to represent the relationship. If they save a total of $80, how much more did Abby save than Ben?
2. There are 4 boys in Math class for every 3 girls. Create a ratio table to show the relationship between boys
and girls in class. If there are a total of 35 kids in the class, how many are boys?
Tape Diagrams: Create a tape diagram to solve each problem:
4. Two numbers are in a ratio of 7 : 4. Their sum is 99. Find the largest number.
5. Mr. Smith and Mr. Kelly are business partners. They agreed to divide the profits in the ratio of 5 : 4. The
profit amounted to $36,000. How much did each person receive?
6. The measures of the angles of a triangle are in the ratio of 6 : 7 : 8. Find the number of degrees in the
smallest angle of the triangle. (Hint triangles have a total of 180 degrees).
Double Line Diagrams:
7. A train travels 250 miles in a total of 5 hours. Create a double line diagram to answer the following
questions.
a. At this rate, how far would the train have traveled in 1 hour?
b. At this rate, how long would it take the train to travel 525 miles?
8. A 64-inch sub sandwich will feed 8 people. Create a double line diagram to answer the following questions.
a. How many people will a 72-inch sub sandwich feed?
b. What size sub sandwich will be needed to feed 11 people?
Percent Practice
16. 18 is what percent of 60?
17. 12 is what percent of 96?
18. 7 is what percent of 105?
19. In a survey, 80 students were asked to name their favorite subject. Thirty students said that English was their
favorite. What percent of the students surveyed said that English was their favorite subject?
20. The police use a speed gun to monitor one part of a highway. During one hour, 6 out of 25 cars were traveling
above the speed limit. What percent of the cars were traveling above the speed limit?
21. The largest frog in the world is the goliath, found in West Africa. This type of frog can grow to be 12 inches long. The
smallest frog in the world is about 4% as long as the goliath. What is the approximate length of the smallest frog in
the world?
22. A hardcover book sells for $24 at The Bookmart. Ben pays a total of $25.02 for the book. What is the sales tax rate?
23. A backpack that normally sells for $39 is on sale for 33% off. Find the amount of the discount and the sale price.
24. A sporting goods store is having a closeout on a certain style of running shoes. They are marked 55% off the regular
price. The regular price is $79.95. Find the amount of the discount and the sale price.
25. A gallery owner purchased a very old painting for $3,000. The painting sells at a 325% increase in price. What is the
retail price of the painting?
26. In August, the Simons’ water bill was $48. In September, it was 15% lower. What was the Simons’ water bill in
September?
27. What percent discount did Olivia receive when she used a coupon and paid $150 when the full price of an iPod is
$200?
28. What is the discount of a $150 Keurig machine when Kohl’s has a sale of 35% off all items? What is the cost of the
item after tax in Hawaii (4.25%)?
Measurement Conversion
1. Chris Johnson ran the 40-yard dash in 4.24 seconds.
a.) What is the rate of speed (yards per second)? Round any answer to the nearest hundredth.
b.)If the runner were able to run at a constant rate, how many yards would he run in one minute?
2. Ms. Bosworth is planning a party. 22 people are attending. Each person can have 2 cups of punch. If she fills
a 4 and ½ gallon punch bowl, will she have enough? How much will she need or have extra?