a. p + 9 b. p + 8 c. 8p d. p + 7 a. x 50 b. 50 x c. x + 45 d. 49 x
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1 25. Use algebra. Write a relation for the Input/Output table. Input p Output a. p + 9 b. p + 8 c. 8p d. p Use algebra. Write a relation for the Input/Output table. Input x Output a. x 50 b. 50 x c. x + 45 d. 49 x 27. Complete the Input/Output table. Input x Output x Complete the Input/Output table. Input p Output 4p Complete the Input/Output table. Input q Output 11q 8
2 30. Which graph shows how x + 2 is related to x? a. Graph R b. Graph S c. Graph P d. Graph Q
3 31. Which graph shows how 2x is related to x? a. Graph S b. Graph P c. Graph R d. Graph Q
4 32. Which graph shows how 10 2x is related to x? a. Graph P b. Graph S c. Graph R d. Graph Q
5 33. Which graph shows how 2x + 3 is related to x? a. Graph P b. Graph S c. Graph R d. Graph Q 34. A coach has 40 granola bars and gives 5 bars to each player. Write a relation to show how the number of granola bars that remain is related to the number of players, m. a. b. 35m c. d. 40 5m 35. Write an equation for the sentence. Three less than a number is 10. a. n + 3 = 10 b. n 3 = 10 c. = 10 d. 3 n = Write an equation for the sentence. A number divided by 4 is 6. a. n 4 = 6 b. = 6 c. = 6 d. 4 n = Write an equation for I subtract 14 from a number. The answer is 21. a. n 14 = 21 b. n + 14 = 21 c. 14 n = 21 d. = 21
6 38. Write an equation for the sentence. Twenty-seven less than a number is 24. a. y 27 = 24 c. 24 y = 27 b. 27 y = 24 d. y + 27 = Write an equation for the sentence. Four added to 4 times a number is 64. a. 4 4x = 64 c. 4x = b. 4x 4 = 64 d x = Write an equation for the situation. Patricia has p posters. She sold 9 and has 20 left. a. c. b. d. 41. Write an equation for the situation. Each of 5 people contributed x dollars to buy a gift that costs $40. a. c. b. d. 42. A tree was 4 m tall. One year later, the tree grew f m and became 10 m tall. Write an equation for the height of the tree. a. c. b. d. 43. Brandon has 54 CDs. This number is 2 times as many CDs as Ingrid has. Write an equation you could use to find the number of CDs Ingrid has. a. c. b. d. 44. Identify the variable in the equation x = 68 a. 5 b. 9x c. x d Use tiles to solve the equation. 6x = 24 a. 30 b. 144 c. 4 d Write an equation for the sentence. Seven more than a number is 15. a. x 7 = 15 b. 7x = 15 c. x + 7 = 15 d. x + 15 = Write an equation for the sentence. A number multiplied by 3 is 15. a. b. 3x = 15 c. 5x = 15 d. 3 + x = 15
7 48. Write an equation for the sentence. The sum of 7 and a number is 26. a. 7x = 26 b. 7 + x = 26 c. 7 x = 26 d x = Write an equation for the sentence. The sum of a number and 7 is 20. a. 7x = 20 b. x + 20 = 7 c. x 7 = 20 d. x + 7 = One book costs $9. How many books could be bought with $63? a. 45 b. 6 c. 54 d Eleven more than 5 times a number is 31. What is the number? a. 15 b. 4 c. 16 d Write an equation for the sentence. A number divided by 4 is 8. a. b. 4 x = 8 c. d. x 4 = Let one white square represent +1 and one white rectangle represent x. Solve the equation modelled by this set of tiles. a. x = 3 b. x = 12 c. x = 4 d. x = Let one white square represent +1 and one white rectangle represent x. Solve the equation modelled by this set of tiles. a. x = 1 b. x = 6 c. x = 3 d. x = 8
8 55. Which are expressions? P: Q: 11-4x R: 4x - 8 = 0 S: a. R and S b. P and Q c. P and R d. Q and S 56. Which are equations? P: 10-5x = 2 Q: 3x + 9 R: S: a. Q and R b. P and S c. R and S d. P and Q 57. Solve this equation: x + 3 = 9 a. 6 b. 5 c. 12 d Solve this equation: 3x = 12 a. 3 b. 4 c. 15 d Solve this equation: a. 12 b. 36 c. 42 d Solve this equation: a. 55 b. 6 c. 16 d Find the value of x that makes this equation true. a. 4 b. 20 c. 7 d Shaun saved $12.00 from his paycheck. This was half the amount of money he had earned. How much money did Shaun earn? a. $24.00 b. $26.00 c. $12.00 d. $ Write an equation for this sentence. Then solve the equation. Seven more than a number is 14. a. 7x = 14, x = 2 c. x + 7 = 14, x = 7 b. 7x = 14, x = 7 d. x + 7 = 14, x = Write an equation for this sentence. Then solve the equation. A number multiplied by 4 is 12. a. 4 + x = 12, x = 3 c. x + 4 = 12, x = 8 b. 4x = 12, x = 8 d. 4x = 12, x = 3
9 65. Janet bought 18 DVDs for $252. Write an equation you could use to find the cost of each DVD. a. c. C = b. d. C = Solve this equation: a. 20 b. 11 c. 37 d Solve this equation: a. 3 b. 5 c. 15 d The 2 pans of the scales are balanced. Find the value of the unknown mass A. 6 g A 5 g 4 g a. 7 g b. 48 g c. 3 g d. 14 g 69. The 2 pans of the scales are balanced. Find the value of the unknown mass B. 4 g 7 g 5 g 3 g B a. 13 g b. 11 g c. 5 g d. 47 g 70. Solve this equation: = y + 8 a. 53 b. 47 c. 7 d Solve this equation: v + v + 7 = a. 8.5 b. 1.5 c. 3 d Write an equation for this sentence. Then solve the equation. Five more than a number is 15. a. x + 5 = 15, x = 10 c. 5x = 15, x = 10 b. x + 5 = 15, x = 3 d. 5x = 15, x = A 2-pan balance has 2 identical unknown masses on the left pan, and 3 masses of 3 g, 2 g, and 9 g on the right pan. What is the value of each unknown mass if the 2 pans are balanced? a. 12 g b. 7 g c. 4 g d. 14 g
10 74. This tile represents x. This tile represents +1. Identify the tiles that model. a. c. b. d. 75. This tile represents This tile represents +1. Write an expression modelled by this picture. x. a. b. c. d. 76. Solve this equation: x + 2 = 6 a. 4 b. 8 c. 3 d A white square represents +1, a black square represents 1, and a rectangle represents the variable x. Write an expression modelled by this picture. a. b. c. d. 78. Solve this equation: -48 = x + 45 a. -93 b. 3 c. 93 d Solve this equation: 7 = x 2 a. 9 b. -9 c. -5 d A number increased by 4 is 9. Write an equation to find the number. Solve the equation. a. x 9 = 4, x = 13 c. x + 4 = 9, x = -5 b. x + 9 = 4, x = -13 d. x + 4 = 9, x = Overnight, the temperature dropped 9 C to 3 C. Write an equation to find the starting temperature. Solve the equation. a. x + 3 = 9, x = 6 c. x + 9 = 3, x = -6 b. x - 9 = -3, x = 6 d. x - 3 = -9, x = Solve this equation: 3 + x = 9 a. 6 b. 3 c. 12 d. 5
11 83. Solve this equation: 5x = 40 a. -35 b. 8 c. 4 d Solve this equation: 2x 5 = 7 a. 6 b. 10 c. 1 5 d Each term of a number pattern is represented by, where n represents the term number. What is the term number for a term value of 69? a. 11 b. 66 c. 60 d Write an equation to find this number: the number reduced by 6 is equal to 8. Solve the equation. a. 6 - x = 8, x = 14 c. x - 8 = 6, x = -2 b. x + 6 = 8, x = 2 d. x - 6 = 8, x = Write an equation to find this number: 8 more than 3 times the number is 17. Solve the equation. a. 3x + 8 = 17, x = 3 c. 3x - 8 = 17, x = 2 b. 3x + 8 = 17, x = 6 d. 3x + 17 = 8, x = Write an equation to find this number: 9 more than double the number is 15. Solve the equation. a. 2x - 15 = 9, x = -3 c. 2x + 9 = 15, x = 12 b. 2x + 9 = 15, x = 3 d. 2x - 9 = 15, x = The perimeter of a regular hexagon is 54 cm. Write an equation you can use to find the side length of the hexagon. Solve the equation. a. 6x = 54, x = 48 c. x + 6 = 54, x = 48 b. x + 6 = 54, x = 9 d. 6x = 54, x = In x weeks and 3 days, it will be Kevin s birthday. His birthday is in 52 days. Write an equation you can use to find the value of x. Solve the equation. a. 7x + 3 = 52, x = 7 c. x + 3 = 7, x = 4 b. 21x = 52, x = 31 d. 7x - 3 = 52, x = Caitlin worked in a clothing store last weekend for $6/h. She was also paid a bonus of $7. She earned a total of $55. Write an equation you can use to find how many hours she worked. Solve the equation. a. 6x + 7 = 55, x = 8 c. x = 55, x = 42 b. 7x + 6 = 55, x = 8 d. 6x - 7 = 55, x = Solve this equation: a. 120 b. 23 c. -23 d Solve this equation: a. 7 b. 10 c. 3 d Solve this equation: a. 11 b. 28 c. 2 d. 3
12 95. Solve this equation: 5x + 7 = 22 a. 10 b. 3 c. 6 d Solve this equation: a. 3 b. 17 c. 4 d A 2-pan balance has 2 identical unknown masses and a mass of 13 g on the left pan, and 2 masses of 18 g and 23 g on the right pan. What is the value of each unknown mass if the 2 pans are balanced? a. 14 b. 28 c. 27 d Liam is solving an equation modelled by algebra tiles. On the left side of the line representing the equal sign, there are 1 x-tile, 4 positive unit tiles, and 3 negative unit tiles. On the right side, there are 7 positive unit tiles and 5 negative unit tiles. What is the value of x? a. 5 b. 5 c. 1 d What is the number that makes this sentence true? Fourteen more than 6 times a number is 38. a. 3 b. 4 c. 26 d Martin had $35. He spent an average of $12 each week. Write an equation you can use to find the amount, C, Martin would have after n weeks. a. C = 23n b. c. d.
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