Writing and Solving Proportions

Writing and Solving Proportions

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Multiple Choice

• 6

• 48

• 49

• 56

Multiple Choice

• 8

• 12

• 24

• 36

Multiple Choice

• 16

• 12

• 8

• 6

Multiple Choice

Which of the following would be a correct proportion to solve the problem?

• $$\frac{3}{16}=\frac{x}{5}$$

• $$\frac{16}{3}=\frac{5}{x}$$

• $$\frac{3}{16}=\frac{5}{x}$$

Multiple Choice

Which of the following would be a correct proportion to solve the problem?

• $$\frac{25}{3}=\frac{7}{x}$$

• $$\frac{25}{3}=\frac{x}{7}$$

• $$\frac{3}{25}=\frac{x}{7}$$

Multiple Choice

Use a proportion to solve the problem

• 22 miles

• 22 gallons

• 352 miles

• 343.75 miles

Multiple Choice

Use a proportion to solve the problem

• $1000

• $500

• $250

• $175

Multiple Choice

Use a proportion to solve the problem

• 22 miles

• 230 miles

• 20 miles

• 115 miles

Multiple Choice

Francisco ran 8 miles. Being a soccer fan, he wondered how many times he had run the length of a soccer field. If a soccer field is 360 feet long, how many soccer fields worth did Francisco run?

• Over 360 fields

• Over 255 fields

• Over 181 fields

• Over 117 fields

Multiple Choice

Many pitchers in major league baseball can now throw their fastball 100 miles per hour. How many seconds does the batter have to react before the pitch reaches the plate? (Hint: Convert miles per hour to feet per second)

Important conversions:

Home plate is 60.5 feet from the pitcher's mound.

There are 5,280 feet in a mile.

There are 3,600 seconds in an hour.

• 10 seconds

• 3.25 seconds

• 1.5 seconds

• 0.4 seconds

Unit Rates

A rate compares two quantities with different units.

Driving 120 miles in 2 hours

The units are miles & hours

To get the unit rate, divide the numerator by the denominator.

Multiple Choice

Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.

• Sargento
• Velveeta

Multiple Choice

$$\ \frac{65\ miles}{3\ hours}$$  Is this a rate or a unit rate?

• rate

• unit rate

Multiple Choice

$$\frac{3\ pages}{1\ \min ute}$$  Is this a rate or a unit rate?

• rate

• unit rate

Multiple Choice

A car traveled 270 miles in 6 hours. (270 miles/6 hours). What is the unit rate (miles per hour)?

• 35 mph

• 45 mph

• 55 mph

• 22 mph

Multiple Choice

Marissa made $300 working for 6 hours. How much does Marissa make per hour?

• $50 per hour

• $60 per hour

• $45 per hour

• $30 per hour

Multiple Choice

If 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
• 412 words per minute

Multiple Choice

When are unit rates useful? Choose the best answer.

• When you want to subtract a number by another.
• When you want to multiply one number by another.
• When you want to compare prices.
• When you want to figure out the probability of a number.

Multiple Choice

You travel 150 miles on 5 gallons. How far did you travel per gallon?

• 15 miles

• 30 miles

• 3 miles

• 25 miles

Multiple Choice

You go to the grocery store to buy dog food. The store has three sizes available:

A 20-lb bag for $23.44

An 8-lb bag for $9.88

A 40-lb bag for $49.00

Which size bag has the lowest cost per pound rounded to the nearest cent?

• The 8-lb bag

• The 20-lb bag

• The 40-lb bag

• I have a cat

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