Unit 5 Study Guide - Ratios, Rates, Proportions

Unit 5 Study Guide - Ratios, Rates, Proportions

by Justice Miller

​Equivalent Ratios

​Equivalent ratios are ratios that make the same comparison of numbers.

Two ratios are equivalent if one can be expressed as a multiple of the other.

​

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​2:3 = 8:12 = 10:15

Multiple Select

• A. 4:12

• B. 20:60

• C. 2:5

• D. 14:42

​Finding equivalent ratios

​Step 1: Find the ratio in simplest form!

​For this problem, the ratio is 1 to 3, or 1:3.

​

​1:3 is equivalent to

​

​4:12, 20:60, and 14:42

Fill in the Blank

Using a colon, write a ratio equavelent to 4:5 

Multiple Choice

Are 6:8 and 8:10 equavent fractions? 

• Yes

• No

​No, 6:8 and 8:10 are NOT equivalent ratios.

​

​6:8 in simplest form is 3:4

​

​8:10 in simplest from is 4:5.

​

​

Multiple Choice

Are 6:9 and 10:15 equivalent ratios? 

• Yes

• No

​Yes, 6:9 and 10:15 ARE equivalent ratios

​ 6:9 in simplest form in 2:3

​

​10:15 in simplest form in 2:3

​

​Therefore, these are equivalent ratios.

Fill in the Blank

Write the simplified ratio of stars to stripes in the simplest form, using the word to.

Multiple Choice

Ordered pairs should be written...

• ( Y , X ) 

• ( X , Y )

Multiple Choice

The location of ( 0 , 0 ) is the

• X axis

• Y axis

• coordinate plane

• Origin

Multiple Choice

The X-axis is 

• Horizontal 

• Verticle 

Multiple Choice

The Y-axis is

• Horizontal 

• Verticle 

Multiple Choice

If given the ordered pair ( 2 , 3 ) you should first

• Move up two spaces

• Move up 3 spaces

• Move right 2 spaces

• Move right 3 spaces

Multiple Choice

In the ordered pair ( 4 , 7 ), the 7 tells you to

• Move right 7 spaces

• Move left 7 spaces

• Move up 7 spaces

• Move down 7 spaces

Multiple Choice

Marie bought a 64-oz tub of mint chocolate chip ice cream for $6.97. How much does Marie pay per ounce of ice cream?

• $9.19

• $0.11

• $9.18

• $0.10

​Marie bought a 64-oz tub of mint chocolate chip ice cream for $6.97. How much does Marie pay per ounce of ice cream?

Multiple Choice

What is the unit rate for the situation: 504 Feet in 6 minutes

• 84 feet

• 3024 feet

• 1 foot in 84 minutes

• 84 feet to 1 minute

Fill in the Blank

What is the unit rate for the situation: 279 miles per 9 gallons.

Fill in the Blank

Using the ratio table, find the missing value

9 apples to ___ oranges

Fill in the Blank

Using the ratio table, find the missing value. 

15 apples to ___ oranges

Multiple Choice

Write the ratio to represent the rate at which Winston can run in the simplest form

• 4:18

• 1 mile to 4 minutes

• 4 to 18

• 2:9

Fill in the Blank

Winston can run 4 miles in 18 minutes.

Assuming Winston can run at a constant rate, how many miles can Winston run in 27 minutes? Solve using ratios and rates. (Don't forget your label)

​Winston can run 4 miles in 18 minutes.

Assuming Winston can run at a constant rate, how many miles can Winston run in 27 minutes? Solve using ratios and rates. (Don't forget your label)

Fill in the Blank

An office supply store sells report covers at 3 for $0.96. If the rate remains the same, how much will 10 covers cost?

(Start by finding the unit rate. Ask yourself, how much does 1 cover cost?) 

Fill in the Blank

A restaurant is having a deal on chicken sandwiches. You can purchase 4 chicken sandwiches for $10.  How much would 7 chicken sandwiches cost?

Multiple Choice

Find and compare the unit prices. Which one is the better buy?

Choice A: 3 for $1.00 Choice B: 10 for $3.00

• Choice A 

• Choice B 

​Find and compare the unit prices. Which one is the better buy?

Choice A: 3 for $1.00 Choice B: 10 for $3.00

​Choice A: $1.00 divided by three items would be $0.33 per item

​

​Choice B: $3.00 divided by 10 items would be $0.30 per item.

​

​Choice B would be the better buy.

Multiple Choice

You are at the grocery store and find two different deals on beans. You want to get the best deal per can.  Brand A are on sale, 5 cans for $1.00. Brand B are on sale 12 cans for $3.00. Which is the better buy? Justify your answer.

• Brand A 

• Brand B 

​You are at the grocery store and find two different deals on beans. You want to get the best deal per can.  Brand A are on sale, 5 cans for $1.00. Brand B are on sale 12 cans for $3.00. Which is the better buy? Justify your answer.

​

Brand A: $1.00 divided by 5 cans = $0.20 per can

​

​Brand B: $300 divided by 12 cans = $0.25 per can

​

​Brand A is a better buy.

Multiple Choice

The ratio of flour to sugar in a cookie recipe is 3:4. The recipe uses 21 total cups of flour and sugar altogether. Complete the ratio table

How many cups of flour should be used if 21 cups will be total. 

• 3 cups of flour

• 6 cups of flour

• 9 cups of flour

• 12 cups of flour

​The ratio of flour to sugar in a cookie recipe is 3:4.

The recipe uses 21 total cups of flour and sugar altogether. Complete the ratio table.

How many cups of flour should be used if 21 cups will be used total. 

​

​When 21 cups total are used, there should be 9 cups of flour and 12 cups of sugar.