Math 7/Unit 05 Practice Test: Proportional Relationships

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(1 – 4) Define the terms below and give an example of each.

  1. ratio
  1. proportion
  1. slope
  1. similar polygons
  1. On a map, the legend might indicate 1 inch represents 25 miles; write that ratio in three different ways.
  1. Express the ratio in simplest form: 24 to 32.
  1. Bob’s club has 50 members, twenty are male. In simplest form, find the ratio of males to females.
  1. If you travel 20 miles in 4 hours, what is the unit rate?
  1. Determine if the ratios and are proportional.
  1. Find the slope of the line that connects the two points in simplest form.
  1. David reads 40 pages of a book in 50 minutes. If he continues to read at that rate, how many pages should he be able to read in 80 minutes?
  1. (CRT)A proportion is shown below.

What value of p makes the proportion true?

A / 4.8
B / 15
C / 19
D / 30
  1. Solve the proportion.
  1. Three and a half pounds of peaches cost $1.68. How much would lb of peaches cost?
  1. Convert 4 days to minutes.
  1. Convert 2 miles to inches.
  1. Convert 5 gallons to cups.
  1. Name the corresponding angles knowing
  1. In problem #18, if AC = 15 inches, AB = 20inches, and XZ = 3 inches, find XY.
  1. A model car is 5 inches long. The scale factor is 1/24. What is the length of the actual car?
  1. (CRT)Mark went to basketball practice from 3:35 P.M. until 5:03 P.M. He then spent 15 minutes in the car riding home. He spent 43 minutes eating dinner. He then practiced played basketball until 6:58 P.M. What is the total amount of time Mark spent practicing or playing basketball?

A / 57 minutes
B / 1 hour 28 minutes
C / 2 hours 25 minutes
D / 3 hours 23 minutes
  1. (CRT)Maggie finishes school at 2:11 P.M. She plans to be at the drama club’s dress rehearsal at 6:45 P.M. Some information about how Maggie will spend the time between school and rehearsal is listed below.
  • She will spend 17 minutes travelling from school to home.
  • She will spend hours completing homework.
  • She will spend some time practicing her part in the play.
  • She will spend 1 hour 7 minutes driving to the dress rehearsal in the car pool.
  1. What is the greatest amount of time Maggie can spend practicing her part in the play? Show your work.
  1. Maggie arrives at the dress rehearsal at 6:45 P.M. She stays at the rehearsal for hours, and then gets a ride home. Her ride home takes 20 minutes less than her drive to the rehearsal since fewer people were in the car pool on the way home.

What is the earliest time that Maggie will arrive home after the rehearsal? Show your work. Be sure to include A.M. or P.M. in your answer.

  1. (CRT)The average wingspan of an American bald eagle is 7 feet. Approximately how many meters is the average wingspan?

A / 1 meter
B / 2 meters
C / 3 meters
D / 4 meters
  1. (CRT)Five vests can be made from yd of fabric. How many vests can be made from 6 yd of fabric?

A / 10 vests
B / 11 vests
C / 12 vests
D / 13vests
  1. Nancy arrives at the airport at 3:25 pm. Her flight departs at 5:13pm. How much wait time does she have?

Long term memory review:

26. Evaluate the expression , if, , and .

27. Write the prime factorization of 120.

28.Solve for x.

29. Find the output for each input in the chart below.

Input / Rule / Output
x / / y
0
1

30. Write the function that describes each sequence. Use the function to find the twelfth term in the function.

13, 23, 33, 43, …

Math 7Practice TestUnit 05: Proportional RelationshipsPage 1 of 6