Ratios, Proportions, and Rates Review

• Ratios

• Equivalent Ratios

• Rates

• Unit Prices

• Problem Solving with Ratios/Rates

​REVIEW

Ratios

*a comparison of two things/values.
says how much of one thing there is compared to another thing.
we us ratios in real-life everyday!

Examples:
There are 3 blue squares to 1 green square
There are 2 boys to 6 girls in class.
The ratio of students to teachers is 3 : 4
The ratio of flour to milk is 3/2 

Ratios can be written 3 ways:

1. Word Form - 3 to 4

2. Fraction Form - 3/4

3. Colon - 3 : 4

ORDER MATTERS WHEN WRITING RATIOS

Multiple Choice

When making Rice Krispy treats you use

3 Tbsp. butter

40 marshmallows

6 cups Rice Krispies

What is the ratio of Rice Krispies to marshmallows?

• 2:1

• 3:6

• 6:40

Multiple Choice

Kelly has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to game apps?

• 5 to 2
• 3 to 5
• 5 to 3

Multiple Choice

Michael made 12 out of 18 free throws at basketball practice. What is the ratio of baskets made to the total number of baskets?

• 12 to 18

• 3 to 2

• 18:12

Simplifying ratios

Look for the GCF (Greatest Common Factor), then divide each value by that factor.

use a factor chart to help you find the GCF!

Multiple Choice

What's the ratio of triangles to squares in simplest form?

• 2:4

• 1:2

• 1:3

Multiple Choice

What's the ratio of triangles to hearts in simplest form?

• 1:2

• 2:4

• 1:3

​Equivalent Ratios

Equivalent Ratios-Proportions

Another way to say a ratio is equivalent is they are PROPORTIONAL.

You can use the Proportion Method-CROSS MULTIPLY to find the missing number in a ratio, or to find if the ratios are equal.

​Cross Multiply

Multiply diagonally to see if the cross products are PROPORTIONAL/EQUAL

​

Multiple Choice

$$\frac{1}{4}$$ is equivalent to which ratio?

• 2 : 9

• 4 : 16

• 6 : 26

Multiple Choice

Which ratio is equivalent to $$\frac{5}{30}$$

• 7 : 15

• 5 : 10

• 3 : 5

Multiple Choice

$$\frac{4}{5}$$ and $$\frac{8}{15}$$ are equivalent ratios.

• Yes

• No

Multiple Choice

1 : 2 and 2 : 4 are PROPORTIONAL.

• Yes

• No

​Cross Multiply & Divide

Steps to solve proportions:

​

1. Cross multiply

2. Divide​ the product

Multiple Choice

Find the missing value for the ratio.

• 3

• 9

• 7

Multiple Choice

Find the missing value for the ratio.

• 55

• 33

• 44

Ratio Tables

We use ratio tables as a way to display the information of several ratios in an easy to read way.

Multiple Choice

What is A?

• 84

• 7

• 82

Multiple Choice

Enrique is making cakes.

How many eggs will Enrique need to make 7 cakes?

• 11

• 28

• 32

Multiple Choice

The table shows the price of packages of markers at a store. Each package sells for the same price.

What would be the price of 11 packages of markers?

HINT: FIND THE PATTERN

• $50

• $51

• $55

Graphing Proportional Relationships

Proportional Graphs MUST pass through the origin (0,0) AND be a straight line.

Multiple Choice

Is this graph proportional/equal?

• Yes

• No

Unit Rates

• UNIT means 1

• used to compare quantities in which the second quantity is one

• The denominator in the fraction is ONE

• miles per hour

• earnings per hour

• cost per gallon

• cost per pound

• each (means one)

• per (means one)

Multiple Choice

You spend $40 on 5 pounds of shrimp. Find the price per pound?

• $8 per pound

• $5 per pound

• $35 per pound

Multiple Choice

Justin can type 408 words in 4 minutes, how many words can he type per minute?

• 102 words per minute

• 100 words per minute

• 400 words per minute

Multiple Choice

Four pounds of bananas cost $6.  What does 1 pound of bananas cost?

• $1.50 per pound
• $1 per pound
• $6 per pound

Multiple Choice

Which package of Cookies is the better buy?

$2.98 for 12 oz

OR

$4.67 for 24 oz

HINT: FIND THE UNIT PRICE FOR BOTH!

• 12 oz

• 24 oz

​PROBLEM SOLVING

​Set up the ratio in fraction form. Cross Multiply & Divide to find the missing number.

Fill in the Blanks

Multiple Choice

Two trays of lasagna serves 8 people. How many trays will Maria need if she has 24 people for dinner?

• 4

• 5

• 6