Unit 1-ReviewRelationships Between Quantities

“Trashketball”

Rules

1. Every group member gets a letter M-A-T-H.

2. Every person must work out the problem on their own sheet of paper.

3. I will randomly call a letter.

4. If your team gets the right answer, you get one point and the opportunity to shoot the ball for a bonus point.

5. Winning team gets a prize- choice of food or bonus points.

6. NO SUBS! The letter that is called is the shooter.

Round 1

• Subtract

Answer: -17

Round 2

• Write an expression that represents the product of 5 and the sum of b and 4?

Answer:

Round 3

• In the US Government, a member of the Senate serves for 4 years longer than a member of the House of Representatives. If a member of the House of Representatives serves for h years, write an expression for how many years a member of the Senate serves.

Answer:

Round 4

• The product of 9 and n is -27. What is the value of n?

Answer: -3

Round 5

• The quotient of n and -4 is 8. What is the value of n?

Answer: -32

Round 6

• The ratio of boys to girls in Art class is 1:2. There are 12 girls in the class. How many boys are there?

Answer: 6 boys

Round 7

• Every dimension of a 2cm by 3cm rectangle is tripled to form a similar rectangle. What is the ratio of the perimeters?

Answer: The ratio of the corresponding sides or .

Round 8

• Using the following table:

A frame shop must make frames with a length of 15.25 cm 0.1 cm. Three frames have the lengths shown in the table. Which frame is not within the specified tolerance?

Answer: Frame 3

Frame Length (cm)

1 15.25

2 15.30

3 15.10

Round 9

• Write the possible range for the measurement 10 g 10%. Round to the nearest hundredth if necessary.

Answer: 9 g to 11 g

Round 10

• A chef can bake 15 pies in one hour. What is the rate in pies per minute?

Answer: 0.25 pies/min

Round 11

• Solve

Answer:

Round 12

• Kris is 1.5 meters tall and casts a shadow 4 meters long. At the same time, a statue casts a shadow 12 meters long. What is the height of the statue?

Answer: 4.5 meters

Round 13

• . Find x.

Answer: 6.75 inches

Round 14

• Samir swam m fewer laps than his friend Kristen, who swam 8 laps. Write an expression for the number of laps Samir swam.

Answer: 8-m

Round 15

Answer:

Round 16

• A tree casts a shadow 8.5 ft. long at the same time that a nearby 3-foot tall pole casts a shadow 3.75 feet long. Write and solve a proportion to find the height of the tree.

Answer:

Round 17

• Find the value of y in the diagram.

FGHJKLMNPQRS

Answer:

Round 18

• Choose the more precise measurement in the pair.

12 mL; 21.3 mL

Answer: 21.3 mL

Round 19

• Choose the more precise measurement in the pair.18.0 in; 0.2 ft.

Answer: 18.0 in

Round 20

• Solve

Answer:

Round 21

• The ratio of lemon juice to water in lemonade is 1:5. If 15 cups of water are used to make a pitcher of lemonade, how many cups of lemon juice are needed?

Answer: 3 cups

Round 22

• Nathan is 6 feet tall and casts a shadow 2.5 feet long. At the same time, a lamppost casts a shadow 10 feet long. Write and solve a proportion to find the height of the lamppost.

Answer:

Round 23

• Find the value of x in the diagram.

Answer: