On Level Unit 4 Test Study Guide Test Date: Friday, January 30
Topics:
· All Topics from Unit 1, Unit 2, and Unit 3
· Ratios (pgs. 402-406)
· Unit Rates (pgs. 407-411)
· Ratio Tables, Tape Diagrams, and Double Line Diagrams (see below)
· Proportions (pgs. 412-416)
· Percents and Proportions (pgs. 425-433)
· Percents and Decimals (pgs. 429-433)
· Percent Increase and Decrease (pgs. 434-440)
· Percent-Discounts, Tax, Tip (pgs. 434-440)
· Measurement Conversion (pgs. 373-384)
*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.
Vocabulary:
· All vocab from Units 1, 2, and 3
· Ratio table
· Unit Rate
· Tape Diagram
· Double Line Diagram
· Percent: per 100
Ratio Tables:
1) Ben and Abby are saving money for Christmas shopping. Ben saves $3 for every $7 Abby saves. Create a ratio table to show 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 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:
3) Two numbers are in a ratio of 7 : 4. Their sum is 99. Find the largest number.
4) 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?
5) Nick and Joe are driving from Madison NJ to Washington DC. For every 6 miles Nick drives, Joe drives 8 miles. If Joe drives 96 miles, how many miles is the drive from Madison to Washington DC?
Double Line Diagrams:
6) 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?
7) 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 12 people?
Converting between fractions, decimals, and percents: Complete the following chart
Problem # / Fraction / Decimal / Percent8) / 18
9) / 56.8%
10) / 0.074
11) / 21175
Percent Practice: Use your percent pyramid to complete the following problems:
12) 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?
13) 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?
14) A used video game sells for $26 at Game Stop. Joe pays a total of $28.21 for the book. What is the sales tax rate?
15) A gallery owner purchased a very old painting for $3,000. The owner will resell the painting at a 325% increase in price. What is the retail price of the painting?
16) 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.
17) Matt, Anthony, and Nick go out to eat. Their bill came to $35.25. The tax is 7% and they want to leave a 15% tip. What is their total bill? If they split the bill evenly, how much money will they each pay?
18) Olivia bought an iPhone for $150, only 25% of the original price. What is the original cost of the iPhone?
19) 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 New Jersey (7%)?
Measurement Conversion
20) Alan is throwing a party and has a 3 gallon bowl of punch. He needs 48 cups to serve all of his guests. Does he have enough punch?
21) Lizzy saw a raccoon in her backyard last weekend. She put out some water and a bowl with 5 cups of food. The raccoon drank all the water and ate 1/2 the food. How many ounces of food did the raccoon eat?
22) John rode 2.8 kilometers on his bike. His sister Sally rode 2850 meters on her bike. Who rode the farthest? How many kilometers farther did they ride?
23) Alice went to the candy store and bought and bought 12 ounces of jelly beans. Jelly beans cost $0.79 per pound. How much will Alice pay for the candy?