Chapter 5 Review Pre-Algebra Review

Express the following as a ratio in simplest form. 3 pints to 4 quarts

3 8

Express the following as a ratio in simplest form. 9 inches to 1 yard

1 4

Express the following as a ratio in simplest form. 6 gallons to 3 quarts

8 1

Express the following as a unit rate. 338 points in 16 games

21.1 points per game

Express the following as a unit rate. $19.49 for 6 pounds

$3.25 per pound

Express the following as a unit rate. 17 gallons in 4 minutes

4.3 gal/min

Alana buys 3 pounds of potatoes for $2. 82 Alana buys 3 pounds of potatoes for $2.82. What is the unit price of the potatoes?

$0.94 per pound

Of the 60 students in the eighth grade, 24 participate in a school sport. Express this as a ratio in simplest form.

2 5

Miguel spends $0. 25 for each game ticket at a school carnival Miguel spends $0.25 for each game ticket at a school carnival. If he has $4.50, how many game tickets can he buy?

18 tickets

Aisha drove 170 miles in 2. 5 hours Aisha drove 170 miles in 2.5 hours. At this same rate, how far will she drive in 4 hours?

272 miles

A chili recipe calls for 6 pounds of ground beef for 25 servings A chili recipe calls for 6 pounds of ground beef for 25 servings. How many pounds are needed for 30 servings?

7.2 pounds

The cost of toilet tissue is $6 for 5 rolls, $12 The cost of toilet tissue is $6 for 5 rolls, $12.00 for 10 rolls, and $21.60 for 18 rolls. Determine if this is a proportional relationship. If yes, find the constant.

Yes; 1.2

The graph of the relationship (dogs, cost) is a line that contains the points (0,0), (3,12), and (6,24). What is the constant of proportionality?

4

Ratios Challenging: A panther, tiger and llama have a total weight of 34 pounds. The ratio of the weight of the panther to the weight of the llama is 4:14. The weight of the llama is 7 pounds. What is the weight of the tiger?

Solution: -You know the weight of the llama, 7 pounds. -Look at given ratio, 4:14 (panther to llama) -Set up proportion to find weight of panther. 4 14 = 𝑥 7 and solve for x -x (Panthers weight, is 2) Lastly… add the two weights you know (panther is 2, llama is 7) 2 + 7=9pounds -THEN, subtract the total pounds 34-9= 25 pounds ANSWER: The tiger weighs 25 pounds!!!

Ratio Extension The ratio of coaches to players on a team is 1:15. There are 12 coaches and 50 girls on the team. What is the ratio of boys to girls on the team?

Answer:13 to 5 or 13:5 Solution: -You know the ratio of teachers to students is 1:15. To find the answer, you need to find the total number of students. Since you know there are 12 coaches, you multiply the ratio by 12 (top and bottom). 1 15 x 12 12 = 12: 180 - This shows that for 12 coaches, there are 180 students. -Subtract the amount of girls (50) from the total students (180-50=130) -The problem asks for you to show the ratio of boys to girls (boys-130, girls-50) So… 130 50 reduces to 13:5.

SCALE: In a scale drawing, a wall is 8 centimeters long. The actual wall is 20 meters long. Find the scale of the drawing.

1cm: 2.5 m *make the numerator one!

SCALE: A sofa is 8 feet long. In a scale drawing, the sofa is 3 inches long. Find the scale of the drawing.

1in. : 2.66 ft.

SCALE: Suppose a model of a commercial airplane is 11. 5 inches long SCALE: Suppose a model of a commercial airplane is 11.5 inches long. The actual length of the airplane is 230 feet long. What is the scale of the model?

1 in.= 20 ft.

At the same time a 6-foot person casts a 2-foot shadow, a nearby flagpole casts a 10-foot shadow. How tall is the flagpole?

30 feet

At the same time a 5-foot girl casts a 4-foot shadow, a nearby stop sign casts an 8-foot shadow. How tall is the stop sign?

10 feet

At the same time a 15-foot pole casts a 7 At the same time a 15-foot pole casts a 7.5-foot shadow, a nearby tree casts an 11-foot shadow. How tall is the tree?

22 feet

What is the value of x? ABC is similar to FGH. 20 30 F H x A C 16

24

Rectangle ABCD is similar to rectangle HIJK Rectangle ABCD is similar to rectangle HIJK. What is the length of JK if CD = 9 centimeters, AD = 12 centimeters, and HK = 8 centimeters?

6 centimeters

Triangle GHJ is similar to MLK. Find the value of x.

50

Problem-solving Chapter 5

Savings on Next Shoe Purchase A shoe store offers a certain amount of money off a shoe purchase that is proportional to the amount spent at the store. Suppose Mrs. Fisher has $500 to spend on new shoes (I know, Mr. Fisher was being generous!). Complete the table to show how much savings Mrs. Fisher would receive for different amounts spent on shoes. Amount Spent on Shoes Savings on Next Shoe Purchase $300 $30 $350 $400 $450 $500

Savings on Next Shoe Purchase Amount Spent on Shoes Savings on Next Shoe Purchase $300 $30 $350 $35 $400 $40 $450 $45 $500 $50

Savings on Next Shoe Purchase Write the ratio of savings to the amount spent as a fraction in simplest form. Amount Spent on Shoes Savings on Next Shoe Purchase $300 $30 $350 $400 $450 $500

1 10

Mrs. Fisher finds an amazing pair of boots she would like to buy for $320. She thinks her savings on a future purchase will be $32. Is she correct? Explain.

Answer: Yes, she is correct. She would set up a proportion below which shows that $32 is the amount of the next discount. 1 10 = 𝑥 320