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**Unit 1-Review Relationships Between Quantities**

“Trashketball”

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**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

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Subtract −2−15 Answer: -17 Round 1

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

Answer: 5(𝑏+4) Round 2

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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

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**Round 4 The product of 9 and n is -27. What is the value of n?**

Answer: -3 Round 4

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**Round 5 The quotient of n and -4 is 8. What is the value of n?**

Answer: -32 Round 5

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**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

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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

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**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

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**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

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**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

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

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**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

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

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**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

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𝑥−39=−105 Answer: 𝑥=−66 Round 15

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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

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**Round 17 Find the value of y in the diagram. FGHJKL~MNPQRS**

Answer: 𝑦=7.5 𝑚𝑖𝑙𝑒𝑠 Round 17

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**Round 18 Choose the more precise measurement in the pair.**

12 mL; 21.3 mL Answer: mL Round 18

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**Round 19 Choose the more precise measurement in the pair.**

18.0 in; 0.2 ft. Answer: in Round 19

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

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**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

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**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

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**Find the value of x in the diagram. ∆𝐴𝐵𝐶~∆𝐷𝐸𝐹**

Answer: 𝑥=20 Round 23

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