Module 4 : Percent and Proportional Relationships

Module 4 : Percent and Proportional Relationships

7.RP.A.1 

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1⁄2 mile In each 1/4 hour, compute the unit rate as the complex fraction ^1/2/_1/4 miles per hour, equivalently 2 miles per hour. 

Multiple Choice

Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?

• The 12 pack of Coke

• The 6 pack of Coke

• Neither

• They are the same

Multiple Choice

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

• $1.25 per pound
• $1 per pound
• $2 per pound
• $1.50 per pound

Multiple Choice

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

• 16 customers per hour
• 15 customers per hour
• 12 customers per hour
• 20 customers per hour

Multiple Choice

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

• $8 per pound

• $5 per pound

• $35 per pound

• 0.125 pounds per dollar

7.RP.A.2

Recognize and represent proportional relationships between quantities.

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Represent proportional relationships by equations. For example, if total cost 𝑡 is proportional to the number 𝑛 of items purchased at a constant price 𝑝, the relationship between the total cost and the number of items can be expressed as 𝑡 = 𝑝𝑛.

Multiple Choice

About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?

• 39 Computers
• 4.3 Homes
• 39 Homes
• 4.3 Computers

Multiple Choice

Simplify the ratio of
35 : 14

• 5 : 2
• 2 : 5
• 3 : 1
• 35: 14

Multiple Choice

Express the ratio as a fraction in simplest form:
18 ounces to 3 cups

• 6 to 1
• 1/6
• 18/3
• 3/18

Multiple Choice

Which is NOT equivalent to 3:5?

• 15:25
• 9:15
• 21:28
• 30:50

7.RP.A.3

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. 

Multiple Choice

Julie walks 10 dogs a week and gets paid $4.25 for each dog. How much money does she make in one week?

• $42.50
• $442.50
• $425.00

Multiple Choice

The cost of an item that was discounted 30% of it's original cost of $12.

• $8.40

• $78

• $5.80

• $7.80

Multiple Choice

I bought 10 tickets for 9.25 each to go the new Star Wars movie. If I had a $100 bill, do I have enough money to pay for all the tickets?

• Yes, and I have $7.50 left
• No, I need a lot more money than that!
• Yes, I have $6.50 left
• Are you kidding? There are no tickets left for that movie!

Multiple Choice

Fred's lunch bill is $17.50. If he wants to tip his waiter 20%, what tip should he leave?

• $3.50

• $21.00

• $1.75

• $20.50

7.EE.B.3 

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1⁄2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation. 

Multiple Choice

Rylan bought sixty-seven tickets at the state fair. He spent twenty-two tickets at the 'dunk a clown' booth and decided to use the rest on rides. If each ride cost five tickets, how many rides could he go on?

• 6 rides
• 7 rides
• 8 rides
• 9 rides

Multiple Choice

3 = 5x - 12

• 2 = x

• 4 = x

• 3 = x

• -1 = x

Multiple Choice

3c + 5 = 23

• c = 3
• c = 6
• c = 7
• c = 18

Multiple Choice

Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven dollar games could he buy with the money he had left?

• 21 games
• 3 games
• 7 games
• 99 games

Multiple Select

Which three (3) equations are equivalent to  $8\left(r-4\right)=40$ . 

•  $8r-4=40$  

•  $8r=44$  

•  $8r-32=40$  

•  $8r=72$  

•  $r=9$  

7.G.A.1

Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. 

Multiple Choice

The model of the car below uses a scale of 1 cm = 3.5 ft. What is the actual length of the car in feet?

• 1.17 ft

• 3.5 ft

• 9.5 ft

• 10.5 ft

Multiple Choice

This scale drawing of a car measures 12.5 inches in length. If the drawing uses a scale of 1 inch for ever 4 feet, how long is the car in real life?

• 48 feet

• 50 feet

• 100 feet

• 125 feet

Multiple Choice

What is the scale factor?

• 2

• 1/4

• 1

• 1/2

Multiple Choice

What is the scale factor?

• 2

• 3

• 6

• 8