Name Date

Math Period _____

Unit 8 – Percents – Review the “Common – Core” Way

I. Information

a) A percent is a ratio that compares a number to 100. The symbol % is used to show a percent.

17 % is equivalent to:

17100

17 to 100

17 : 100

II. Review Questions

1)

2) At King Kullen, .33 of the shelves hold meat products, 27 % of the shelves hold dairy items and 920 of the shelf space

is used for snack items. Place the items in order from least to greatest in terms of the amount of shelf space that they take up.

3) A review of the population of sixth graders at Nesaquake Middle School is shown in the table below.

6 th Grade :Class: Mr. A Mrs. B Mrs. F Mr. PNumber of boys 13 12 12 11Number of girls 11 14 12 14

a) Which class has a 1:1 ratio of boys to girls?

b) Which class is made up of 44 % boys?

c) What is the ratio of girls to boys for all four classes combined?

4) Replace the x, y and z in the tables of equivalent ratios with the correct number. Do not simplify the answers.

a) x = _________ y = ________ z= _________

1:7

10:x

y215z

b) x = _________ y = ________ z= _________

2 : 11

6 : x

y664z

5) Bill works in a hardware store. Sixteen hours represents 40 % of Bill’s work week. How many hours does Bill work in a week?

6) Caroline ordered 20 pizzas for a party. 7 of those pizzas were just cheese. What percent of those pizzas were just cheese?

7) 15 children in Mr. Smith’s class are boys. If there are a total of 25 students in the class, what percent of the class are GIRLS?

8) Bruce saved $35 to buy a new video game. The game’s original price was $ 42, but it was on sale for 30 % off. The sales tax rate was 5%. Did Bruce have enough money to buy the game? Explain.

9) Use the following two tables to help you in answering the questions below.

Sales Tax TableNew York 8 %New Jersey 7 %Connecticut 6 %

Wal – Mart PricesTelevision $699.95I – Pad $ 399.95Computer $ 1299.95DVD Player $ 199.95

Different states and counties have different tax rates. A family living on the border of Connecticut and New York has decided to travel to Connecticut to purchase a TV and a DVD player due to the fact that the tax rate is lower in Connecticut. Round to the nearest whole dollar amount.

a) Calculate the total cost (with sales tax) of the two items in New York.

b) Calculate the total cost of the two items in Connecticut?

c) How much is being saved by purchasing the two items in Connecticut?

d) It is approximately 40 miles longer of a drive for the family to travel to Connecticut to purchase the items. If the gas is $ 3.85 per gallon and the car gets 20 miles to the gallon, is it worth it for the family to drive to Connecticut? Defend your answer using math.