Unit Rates and Proportions

A rate is a ________ of _________ quantities using different units.

• two, ratio

• ratio, two

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

A unit rate is a rate that compares a ___________ to ________.

• coefficient, variable

• quantity, one

• solution, problem

• ratio, ratio

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

True or False:
100 miles in 2 hours is an example of a rate

 $\frac{100}{2}$  

• True

• False

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

True or False:
100 miles in 2 hours is an example of a unit rate

 $\frac{100}{2}$  

• True

• False

Answer explanation

A unit rate always has a denominator of ONE!

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

You earn $60 for 8 hours work. What is the unit rate ($/hour)?

• $5.00/ 1 hour

• $6.00/ 1 hour

• $7.50/ 1 hour

• $8.50 / 1 hour

Answer explanation

Remember to divide the numerator by the denominator.

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

To compare two or more unit rates, find the ______ ______ of each.

• unit rate

• first rate

• double rate

• same numerator

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

True or False:

When finding the unit cost, the price ($) is always the numerator.

• True

• False

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

A factory can produce hockey pucks at a rate of 1 in 30 seconds. What is the unit rate per minute?

• 2 per minute

• 4 per minute

• 5 per minute

• 6 per minute

Answer explanation

$\frac{1\ puck}{30\ \sec}$ X $\frac{2}{2}$ = $\frac{2\ pucks}{60\ \sec}$ = $\frac{2\ pucks}{1\ \min}$ or 2 per minute

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

Solve the proportion.

 $\frac{120}{250}$  =  $\frac{x}{15}$  Hint: x will be a decimal

• 4.4

• 5.6

• 6.8

• 7.2

Answer explanation

120 x 15 = 250x  so 1800 = 250x  so  1800/250 = 250x/250 so 7.2 = x

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

You sell sets of 5 toys for $49.95 per set. I sell sets of 2 toys for $29.99 per set. Based on lowest unit cost, who should sell more toys, you or I?

• me

• you

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3