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Expressions and equations

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Presentation on theme: "Expressions and equations"— Presentation transcript:

1 Expressions and equations
Jeopardy Writing Ratios Resizing Ratios Problems Data and Percents Expressions and equations $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy

2 $100 Question There are 2 cats for every 7 dogs in a shelter.
What is the ratio of dogs to cats?

3 $100 Answer There are 2 cats for every 7 dogs in a shelter. What is the ratio of dogs to cats? Dogs Cats 7 to 2

4 $200 Question There are 4 red balloons, 2 green balloons, and 1 blue balloon. What is the ratio of red balloons to total balloons?

5 $200 Answer There are 4 red balloons, 2 green balloons, and 1 blue balloon. What is the ratio of red balloons to total balloons? Red Total 4 to 7

6 $300 Question There are 4 red balloons, 2 green balloons, and 1 blue balloon. What is the ratio of green balloons to blue balloons and green balloons?

7 $300 Answer There are 4 red balloons, 2 green balloons, and 1 blue balloon. What is the ratio of green balloons to blue balloons and green balloons? Green Green & Blue 2 to 3

8 $400 Question There are 4 red balloons, 2 green balloons, and 1 blue balloon. What is the ratio of green balloons to the combination of the other balloons?

9 $400 Answer There are 4 red balloons, 2 green balloons, and 1 blue balloon. What is the ratio of green balloons to the combination of the other balloons? Green Other 2 to 5

10 $500 Question There are 4 red balloons, 2 green balloons, and 1 blue balloon. What is the ratio of yellow balloons to total balloons?

11 $500 Answer There are 4 red balloons, 2 green balloons, and 1 blue balloon. What is the ratio of yellow balloons to total balloons? Yellow Total 0 to 7

12 $100 Question There is a 4 by 4 square. If we enlarge the shape to make it 2 times larger. What would the new dimensions be?

13 $100 Answer There is a 4 by 4 square. If we enlarge the shape to make it 2 times larger. What would the new dimensions be? 4 ∙ 2 4 ∙ 2 8 by 8

14 $200 Question You have a picture. The length is 10 and the width is 8. You want to make a copy that is 50% of the original picture. What are the new dimensions?

15 Length 5 in, width 4 in 10 ÷ 2 8 ÷ 2 $200 Answer
You have a picture. The length is 10 and the width is 8. You want to make a copy that is 50% of the original picture. What are the new dimensions? 10 ÷ 2 8 ÷ 2 Length 5 in, width 4 in

16 $300 Question A triangle has a height of 2 inches and a base of 3 inches. To enlarge the shape and make a new triangle that is 300% larger, what would the new height and base be?

17 Height – 6 in, Base – 9 in $300 Answer
A triangle has a height of 2 inches and a base of 3 inches. To enlarge the shape and make a new triangle that is 300% larger, what would the new height and base be? 2 x 3 3 x 3 Height – 6 in, Base – 9 in

18 $400 Question A triangle has a height of 4 inches and a base of 10 inches. Enlarge the triangle by a ratio of 5 to 2. What is the new height and base?

19 Height – 10 in, Base – 25 in $400 Answer
A triangle has a height of 4 inches and a base of 10 inches. Enlarge the triangle by a ratio of 5 to 2. What is the new height and base? 4 ∙ 𝟓 𝟐 10 ∙ 𝟓 𝟐 Height – 10 in, Base – 25 in

20 $500 Question Draw a new triangle that has a ratio of 7 to 2 to the original triangle.

21 $500 Answer Draw a new triangle that has a ratio of 7 to 2 to the original triangle. 2 5 5 ∙ 𝟕 𝟐 2 ∙ 𝟕 𝟐 Height – 7 in, Base – 17.5 in

22 $100 Question There are 3 cats for every 4 dogs in a shelter. If there are 6 cats, how many dogs are in the shelter?

23 $100 Answer There are 3 cats for every 4 dogs in a shelter. If there are 6 cats, how many dogs are in the shelter? Cats 𝟑 𝟒 𝟔 𝟖 Cats = Dogs Dogs 8 dogs

24 $200 Question Every time Tina does 4 flips in a row she wins 1 slice of pizza. If she won 10 slices of pizza, how many flips did she do?

25 $200 Answer Every time Tina does 4 flips in a row she wins 1 slice of pizza. If she won 10 slices of pizza, how many flips did she do? Flips 𝟒 𝟏 𝟒𝟎 𝟏𝟎 Flips = Pizza Pizza 40 flips

26 $300 Question Kacie is making banana bread. She needs 10 bananas for every 2 batches of bread she makes. If she makes 5 batches, How many bananas does she need?

27 $300 Answer Kacie is making banana bread. She needs 10 bananas for every 2 batches of bread she makes. If she makes 5 batches, How many bananas does she need? Bananas 𝟏𝟎 𝟐 𝟐𝟓 𝟓 Bananas = Batches Batches 25 bananas

28 $400 Question Nicole is helping her grandmother separate rabbits into two groups: white and brown. There are 35 rabbits total. 15 of those are white. What is the ratio of brown rabbits to white rabbits?

29 $400 Answer Nicole is helping her grandmother separate rabbits into two groups: white and brown. There are 35 rabbits total. 15 of those are white. What is the ratio of brown rabbits to white rabbits? Total 𝟑𝟓 𝟏𝟓 𝟐𝟎 𝟏𝟓 Brown White White 20 to 15

30 $500 Question Blake is playing football with some of his friends. For every 5 touchdowns he makes, he gets 3 trading cards. If he got 6 more touchdowns than trading cards, how many trading cards did he receive?

31 9 trading cards 5 + 5 + 5 15 3 + 3 + 3 9 $500 Answer
Blake is playing football with some of his friends. For every 5 touchdowns he makes, he gets 3 trading cards. If he got 6 more touchdowns than trading cards, how many trading cards did he receive? Touchdowns 5 + 5 + 5 15 3 + 3 + 3 9 Trading cards 9 trading cards

32 $100 Question Cameron is making pizza. He uses 2 cups cheddar cheese and 2 cups pepper jack cheese. What percent of the cheese mixture is pepper jack?

33 $100 Answer Cameron is making pizza. He uses 2 cups cheddar cheese and 2 cups pepper jack cheese. What percent of the cheese mixture is pepper jack? 50%

34 $200 Question Ben is making lemonade. He uses 4 cups of water and 1 cup of mix. What percent of his lemonade is water?

35 $200 Answer Ben is making lemonade. He uses 4 cups of water and 1 cup of mix. What percent of his lemonade is water? 80%

36 $300 Question Bradley made 350% more money than Ethan selling cars. What number is that as a fraction?

37 $300 Answer Bradley made 350% more money than Ethan selling cars. What number is that as a fraction? 3 𝟓 𝟏𝟎 3 𝟏 𝟐 or

38 $400 Question Joel got 13 out of 20 questions right on his most recent quiz. Represent that number with a decimal.

39 $400 Answer Joel got 13 out of 20 questions right on his most recent quiz. Represent that number with a decimal. 0.65

40 $500 Question Tax in Washington State is 9 cents for every 1000 cents. What percent is that?

41 $500 Answer Tax in Washington State is 9 cents for every 1000 cents. What percent is that? 0.9%

42 $100 Question Write an expression to represent the following routine.
1 leap to the right 2 jumps that are each 3 feet long to the right

43 $100 Answer Write an expression to represent the following routine. 1 leap to the right 2 jumps that are each 3 feet long to the right L + 2(3) or L + 6

44 $200 Question Write an expression to represent how many tiles fit around the frame below:

45 $200 Answer 8+7+7+6 7 • 4 8+8+6+6 4(8)-4 8•8-6•6 4(6)+4
Write an expression to represent how many tiles fit around the frame below: 7 • 4 4(8)-4 8•8-6•6 4(6)+4

46 $300 Question You have a square frame with 22 tiles on each side. How many tiles fit around the frame?

47 $300 Answer You have a square frame with 22 tiles on each side. How many tiles fit around the frame? 84

48 $400 Question Emma is working on a new gymnastics routine. She starts by walking 4 feet to the right. Then she does a handspring, then three cartwheels, followed by two more handsprings, and then a somersault. Write an expression to represent how far Emma travels during her routine.

49 $400 Answer Emma is working on a new gymnastics routine. She starts by walking 4 feet to the right. Then she does a handspring, then three cartwheels, followed by two more handsprings, and then a somersault. Write an expression to represent how far Emma travels during her routine. 4+h+3c+2h+s

50 $500 Question Use the following expression to find out how far Emma’s routine is: 4+h+3c+2h+s h = 6 ft, c = 5 ft, s = 3 ft

51 $500 Answer Use the following expression to find out how far Emma’s routine is: 4+h+3c+2h+s h = 6 ft, c = 5 ft, s = 3 ft 40 ft

52 Final Jeopardy You have a 3 by 5 picture. You send it to Costco to make 2 different enlarged copies. You need one copy that is 200% bigger and another that has a ratio of 3:2. What are the new dimensions?

53 Final Jeopardy Answer 1st Copy 6 by 10 2nd Copy 4.5 by 7.5


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