Ratio and Proportion

Ratio

1

Simplify and write the equivalent ratio in three different ways.

4:12

1:3

1/3

 1 to 3

2

The equality between two ratios.

Proportion

3

Show three ways to write the ratio three to four

3:4

3/4

3 to 4

4

Are the ratios equivalent?

3 paintings to 16 photographs 

6 paintings to 32 photographs

Yes

5

Marissa has 14 pairs of sneakers and 12 pairs of sandals. What is the simplified ratio of sandals to all of her shoes?

3:7

3 to 7

3/7

Solving Proportions

1

Solve for a:  

a/6 = 6/9

a=4

2

Are these fractions proportional? Explain why or why not to receive full points!

3/14 and 9/42

Hint: remember to use the test for proportions...check your notes!

Yes, the cross products are equal/equivalent.

or

Yes, the ratios have the same constant/unit rate.

3

Solve for t:  

2/7=9/27

t=6

4

Solve for p:

7/p= 8/9

p=7.875

5

Solve for q:  

3:5=q:10

q=6

Unit Rate/Better Buy

1

What is it called when you determine the price of one unit/item? Give at least two names to receive credit!

Unit Rate/Constant of Proportionality/Rate of Change

2

Brenda can deliver 644 newspapers in 7 hours. How many newspapers can Brenda deliver per hour?

92 newspapers per hour.

3

Which is the better buy?

3 apple pies for $11 or 7 cherry pies for $24.50

Cherry Pie has the better deal

4

Luke can paint 91 portraits in 7 weeks. How many portraits can Luke paint in a week?

13 portraits

5

Which paint color is the more expensive per gallon?

15 gallons of green paint for $51 or 7 gallons of orange paint for $24.50

The orange paint is more expensive per gallon

Problem Solving

1

You can buy a Mathematics book for $400. How many can you buy for $1200? Give the proportion and answer the question.

1:400 = n:1200

n=3

2

If you spend 3 hours each day using your mobile phone, how many hours would you spend using your phone in 15 days? Give the proportion and answer the question

3:1 = n:15

n=45

3

Suppose that 20 men can build a house in 6 days. If the number of men 10, how long would it take for them to build the house?

12 days

4

A car uses 5 liters of gasoline for a distance of 110 km. At this rate, how many liters of gasoline will the car consume for a distance of 165 km.

7.5 liters of gasoline

5

Name all the people in this class who scored baskets at yesterday's staff/student basketball game

Sam

Sheila

Jacob

Vocabulary/Review

1

When we don't know the value of something we use this to represent it

Variable

2

It is the comparison between two or more quantities.

ratio

3

Combine like terms:

2x + 3 - 7x +6

-5x+9

4

in 3² , 3 is called the ________ and 2 is the ________

base

exponent

5

The distance a value is from 0

Absolute Value