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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: