1. Unit 1-Review Relationships Between Quantities
“Trashketball”

2. Rules Every group member gets a letter M-A-T-H.
Every person must work out the problem on their own sheet of paper.
I will randomly call a letter.
If your team gets the right answer, you get one point and the opportunity to shoot the ball for a bonus point.
Winning team gets a prize- choice of food or bonus points.
NO SUBS! The letter that is called is the shooter.
Rules

3. Subtract −2−15
Answer: -17
Round 1

4. Write an expression that represents the product of 5 and the sum of b and 4?
Answer: 5(𝑏+4)
Round 2

5. 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: 4+ℎ
Round 3

6. Round 4 The product of 9 and n is -27. What is the value of n?
Answer: -3
Round 4

7. Round 5 The quotient of n and -4 is 8. What is the value of n?
Answer: -32
Round 5

8. The ratio of boys to girls in Art class is 1:2
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 6

9. 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 7

10. Round 8 Using the following table:
A frame shop must make frames with a length of 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 8

11. Write the possible range for the measurement 10 g ±10%
Write the possible range for the measurement 10 g ±10%. Round to the nearest hundredth if necessary.
Answer: 9 g to 11 g
Round 9

12. A chef can bake 15 pies in one hour
A chef can bake 15 pies in one hour. What is the rate in pies per minute?
Answer: pies/min
Round 10

13. Solve 4 𝑠−3 = −2 5
Answer: 𝑠=−7
Round 11

14. Kris is 1. 5 meters tall and casts a shadow 4 meters long
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 12

15. 𝐴𝐵𝐶𝐷𝐸𝐹~𝑅𝑆𝑇𝑈𝑉𝑄. Find x.
Answer: inches
Round 13

16. Samir swam m fewer laps than his friend Kristen, who swam 8 laps
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 14

17. 𝑥−39=−105
Answer: 𝑥=−66
Round 15

18. 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: = 𝑥 8.5 ;𝑥=6.8 𝑓𝑒𝑒𝑡
Round 16

19. Round 17 Find the value of y in the diagram. FGHJKL~MNPQRS
Answer: 𝑦=7.5 𝑚𝑖𝑙𝑒𝑠
Round 17

20. Round 18 Choose the more precise measurement in the pair.
12 mL; 21.3 mL
Answer: mL
Round 18

21. Round 19 Choose the more precise measurement in the pair.
18.0 in; 0.2 ft.
Answer: in
Round 19

22. Solve 𝑠+1 10 = 3 −2
Answer: 𝑠=−16
Round 20

23. The ratio of lemon juice to water in lemonade is 1:5
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 21

24. Nathan is 6 feet tall and casts a shadow 2. 5 feet long
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: = ℎ 10 ;ℎ=24 𝑓𝑡
Round 22

25. Find the value of x in the diagram. ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹
Answer: 𝑥=20
Round 23