Unit 3 Review

Unit 3 Review

Learning Goal:

I Can:

• show mastery in computing unit rates

• show mastery in using constant of proportionality to write equations representing proportional relationships

• show mastery in identifying scale factor

• show mastery in calculating percent change, percent error, and simple interest

  
  

  
  

Unit rate

is a ratio that compares quantities with 2 different measures

Examples:
miles/hour , price/product, dollars/hour

How do we compute unit rate?

How to calculate unit rate

Multiple Choice

Marisol paid $3.00 for 2/5 pound of sliced turkey meat. What was the price per pound of the turkey meat?

• $7.50 per pound

• $1.20 per pound

• $6.50 per pound

• $3.40 per pound

Open Ended

Devin buys 5 cases of water that contain 24 bottles each. He pays a total of $20.40 for the water. What is the unit price for a bottle of water?

​Constant of Proportionality

• Constant of Proportionality exists when the ratio of two quantities in a table, graph, or ordered pairs simplify to the same unit rate.

  How do we calculate constant of proportionality?

Constant of proportionality
k = y÷x

Multiple Choice

The table shows the proportional relationship between the time in hours (h) Sara babysits and the amount in dollars (a) Sara earns babysitting. The equation a = 5h shows the relationship between the amount in dollars (a) Abbey earns babysitting and the time in hours (h) Abbey babysits. Which statement correctly identifies who earns more and how much more she earns?

• Sara earns $1 more per hour than Abbey.

• Sara earns $4 more per hour than Abbey.

• Abbey earns $1 more per hour than Sara.

• Abbey earns $5 more per hour than Sara.

Multiple Choice

Caroline makes toys at a toy shop. The graph represents the relationship between the number of toys, t, that Caroline makes and the number of hours, h, Caroline works at the shop.

Which equation represents Caroline's toy-making rate, in toys per hour?

• t = 1/4h

• t = 4h

• t = 8h

• t = 10h

Scale Factor

Multiple Choice

What is the scale factor from the small shape to the big shape?

• 1/2
• 7/3
• 2
• 10/3

Multiple Choice

What is the scale factor from the large triangle to the small triangle?

• 1/2
• 2/3
• 3/4
• 2

Percent! Interest! and everything nice... % #

Multiple Choice

The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.

• 52%
• 41%
• 42%
• 45%

Multiple Choice

The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter? 

• 35%
• 25%
• 30%
• 20%

Multiple Choice

Find each percent increase. Round to the nearest percent.
From 13 friends to 14 friends  

• 20%
• 12%
• 15%
• 8%

Fill in the Blanks

Victoria borrowed $4500 at a simple interest rate of 6% per year. How much interest will she pay after 5 years for this loan?

Happy Testing!

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