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Chapter 10 Review: Patterns and Expressions

Chapter 10 Review: Patterns and Expressions. Question #1. What is the expression for a number multiplied by 8 and increased by 4?. Answer. 8 x + 4 . Question #2. The mass of a can, c, is 150 g and the mass of a marble, m, is 15 g. What is the total mass of 2c + 5m?. Answer:.

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Chapter 10 Review: Patterns and Expressions

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  1. Chapter 10 Review:Patterns and Expressions

  2. Question #1 What is the expression for a number multiplied by 8 and increased by 4?

  3. Answer 8x + 4

  4. Question #2 The mass of a can, c, is 150 g and the mass of a marble, m, is 15 g. What is the total mass of 2c + 5m?

  5. Answer: 2(150) +5(15)= 300 + 75= 375g

  6. Question #3: A soccer team wants new uniforms. These will cost $200 for the design plus $100 per uniform. What expression represents the total cost of the new uniforms if n represents the number of players getting new uniforms?

  7. Answer: 200 + 100n

  8. Question #4: Fill in the blank. 1200, 800, ____________________, 0

  9. Answer: 400

  10. Question #5: Write an expression that represents the perimeter of a square with each side having a length of n.

  11. Answer: n + n +n + n so 4n

  12. Question #6: How do you get to the next term in the following pattern? 91, 85, 79, 73, 67, ...

  13. Answer: 91-6=85-6=79-6=73-6=67... Subtract 6 to get the next term.

  14. Question #7: Find the next three terms in the pattern. 91, 85, 79, 73, 67, ...

  15. Answer: 67-6= 61-6= 55-6= 49

  16. Question #8: Write an expression for double the height of a tree.

  17. Answer: 2t when t= tree height

  18. Question #9: For the following statement, write an expression. Jeans sell for $3 off the regular price.

  19. Answer: r – 3 when r= regular price

  20. Question #10: Which linear relation describes the ordered pair pattern (7, 8), (8, 9), (9, 10), (10, 11), ...?

  21. Answer: y = x + 1 Ex- 8= 7 +1 9= 8 +1...

  22. Question #11: Which expression represents “a number decreased by 12”?

  23. Answer: n – 12

  24. Question #11: The expression 2w + t is used to determine the number of points a minor hockey team earns in a season. In this expression, w represents the number of wins and t represents the number of ties. Calculate the total number of points for a team with 14 wins and 8 ties.

  25. Answers: 2(14) + 8= 36

  26. Question #12: Which linear relation does this table of values represent? x y 1 6 2 4 3 2 4 0

  27. Answer: y = 8 – 2x

  28. Question #13: Which linear relation goes with this table of values? x y 2 3 3 4 4 5 5 6

  29. Answer: y = x + 1

  30. Question #14: What is the relationship between x and y in the following ordered pairs: (2, 4), (3, 6), (4, 8), (5, 10)?

  31. Answer: (x, 2x) y = 2x

  32. Question #15: Create a table of values for y = 2x. x y 1 2 3 4 5

  33. Answer: x y 1 2 2 4 3 6 4 8 5 10

  34. Question #16: Number of Packages, p Number of Golf Balls, g 1 3 2 6 3 9 Write an equation to describe the relationship between golf balls, g, and packages, p.

  35. Answer: g = 3p or p= g/3.

  36. Question #17: How would you find the next term in the pattern 4, 11, 18, 25, 32, ... ? add 7 to the last term multiply the last term by 1.28 divide the last term by 8 subtract 7 from the last term

  37. Answer: A: Add 7 to the last term. 4 +7= 11+ 7= 18 +7 =25 +7 = 32

  38. Question #18: If the starting value of n is 1, what are the first four numbers in the pattern 3n + 5?

  39. Answer: 3(1) +5 = 8 3(2) +5 = 11 3(3) + 5= 14 3(4) + 5 = 17

  40. Question #19: This table shows the number of chair legs in relation to the number of chairs. What expression represents the number of chair legs? Number of Chairs, c Number of Chair Legs, l 1 4 2 8 3 12 4 16

  41. Answer: 4c= l because 4(1)= 4 and 4(2) = 8 and 4(3)= 12 and 4(4)= 16

  42. Answer: What do you call a pattern formed by two sets of numbers? a. an expression b. a relationship c. a table of values d. a variable

  43. Question #20: B- a relationship

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