Ratios, Rates, and Unit Rates Review

Ratios, Rates, and Unit Rates Review

A ratio is a comparison of two quantities using division. Be careful of the order you are being asked to write the ratio.  A Ratio can be written in 3 ways:

• 3:4

• 3 to 4

•  $\frac{3}{4}$  

• When ratios are written as fractions they should be in simplest form. 

Multiple Select

There are 10 red pens and 4 blue pens in the pencil box. What are the different ways to write the ratio of red pens to blue pens? Choose all that applies.

• 10 : 4

• 10 to 4

• $\frac{5}{2}$

• $\frac{2}{5}$

Multiple Choice

Express the ratio as a fraction in simplest form.

12 cups to 60 cups

• $\frac{5}{1}$

• $\frac{1}{5}$

• $\frac{12}{60}$

• $\frac{2}{10}$

Multiple Choice

Express the ratio as a fraction in simplest form.

60 red cars to 45 blue cars

•  $\frac{45}{60}$ 

•  $\frac{3}{4}$ 

•  $\frac{4}{3}$ 

•  $\frac{60}{45}$ 

Multiple Choice

Express the ratio as a fraction in simplest form.

30 to 50

•  $\frac{50}{30}$ 

•  $\frac{5}{3}$ 

•  $\frac{3}{5}$ 

•  $\frac{30}{50}$ 

Multiple Choice

Express the ratio as a fraction in simplest form.

49 : 7

•  $\frac{7}{1}$ 

•  $\frac{49}{7}$ 

•  $\frac{1}{7}$ 

•  $\frac{7}{49}$ 

A rate is a ratio that compares two different units of measurement. Examples are

• $250 for 10 hours of work

•  $\frac{120\ miles}{2\ hours}$  

A unit rate is a ratio that has a denominator of 1.  Examples are

• $50per hour 

•  $\frac{60\ miles}{1\ hour}$  

Multiple Choice

Rachel swam 20 laps in 25 minutes. Is this a rate or a unit rate?

• Rate

• Unit Rate

Multiple Choice

John drove 55 miles per hour to his Grandma's house. Is this a rate or a unit rate?

• Rate

• Unit Rate

Multiple Choice

Jose ran 60 miles in 3 days. Is this a rate or a unit rate?

• Rate

• Unit Rate

Multiple Choice

Diana sent 10 text in one minute. Is this a rate or a unit rate?

• Rate

• Unit Rate

Look for the key word per when finding unit rate. Examples are:

• To find miles per hour divide the number of miles by the number of hours.

• To find dollars per hour divide the dollars by the number of hours.

Multiple Choice

It snowed 80 inches in 10 days. Find the unit rate of inches per day.

• 8 inches per day

• 0.125 inches per day

• 80 inches per day

• 800 inches per day

Multiple Choice

Emily bought 3 shirts for $120. Find the unit rate of dollars per shirt.

• $20 per shirt

• $40 per shirt

• $60 per shirt

• $120 per shirt

Multiple Choice

The ratio table shows the number of situps Sophia does over time. Find her unit rate of situps per minute.

• 0.2 situps per minute

• 45 situps per minute

• 90 situps in 6 minuts

• 15 situps per minute

Multiple Choice

The ratio table shows the number of hours James worked and the dollars he earned. Find his unit rate of dollars per hour.

• $9 per hour

• $360 per hour

• $720 per hour

• $0.11 per hour

Multiple Choice

The ratio table shows number of hours a trucker drives and the miles traveled. Find his unit rate of miles per hour.

• 55 miles per hour

• 5,500 miles in 100 hours

• 75 miles per hour

• 110 miles in 2 hours

Finding a unit rate from a graph.

• Identify an exact point

• Write an ordered pair (2, 4)

• Divide the y coordinate by the x coordinate

•  $4\div2=2$  

• Unit rate is 2 inches per minute

Multiple Choice

The graphs shows the lengths of fabric and the cost. Interpret what the point (4, 16) means.

• 16 yards cost $4

• 4 yards for $16

Multiple Choice

The graphs shows a balloon rising over time. Interpret what the point (2, 3) means.

• In 2 minutes the balloon rises 3 feet

• In 3 minutes the balloon rises 2 feet

Multiple Choice

The graphs shows earnings for bicycle rental over time. Find the cost of renting a bicycle for one hour.

• $0.50 per hour

• $2 per hour

• $4 per hour

• $8 per hour

Multiple Choice

The graphs shows the number of toys packed into cartons. Find the unit rate of toys per carton.

• 0.2 toys per carton

• 5 toys per carton

• 10 toys per carton

• 60 toys per carton