Math 7-6.1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which are expressions? P: Q: 11 4x R: 4x 8 = 0 S: A) P and Q B) Q and S C) R and S D) P and R 2. Which are equations? P: 10 5x = 2 Q: 3x + 9 R: S: A) Q and R B) R and S C) P and Q D) P and S 3. Solve this equation: x + 3 = 9 A) 12 B) 3 C) 6 D) 5 4. Solve this equation: 3x = 12 A) 4 B) 9 C) 3 D) 15 5. Solve this equation: A) 38 B) 42 C) 12 D) 36 6. Solve this equation: A) 16
B) 6 C) 55 D) 50 7. Find the value of x that makes this equation true. A) 4 B) 20 C) 7 D) 10 8. Shaun saved $12.00 from his paycheck. This was half the amount of money he had earned. How much money did Shaun earn? A) $26.00 B) $21.50 C) $12.00 D) $24.00 9. Write an equation for this sentence. Then solve the equation. Seven more than a number is 14. A) x + 7 = 14, x = 2 B) 7x = 14, x = 2 C) x + 7 = 14, x = 7 D) 7x = 14, x = 7 10. Write an equation for this sentence. Then solve the equation. A number multiplied by 4 is 12. A) 4x = 12, x = 3 B) 4 + x = 12, x = 3 C) x + 4 = 12, x = 8 D) 4x = 12, x = 8 11. Alan has $90 and he spends $12 each week. Write an equation you could use to find the money Alan has after 3 weeks. A) B) C) D) 12. Janet bought 18 DVDs for $252. Write an equation you could use to find the cost of each DVD. A) B) C = 18 14 C) C = 252 18 D) Short Answer
13. Solve this equation:. 14. Find the value of y that makes this equation true. 7y = 28. 15. Solve this equation:. 16. Find the value of x that makes this equation true. 4x 6 = 14. 17. Find the value of x that makes this equation true. 14 = 3x + 5
. 18. A number decreased by 7 is 6. a) Write an equation you can solve to find the number. b) Solve the equation to find the number. 19. A number divided by 5 is 9. a) Write an equation you can solve to find the number. b) Solve the equation to find the number. 20. Eight less than 4 times a number is 4. a) Write an equation you can solve to find the number. b) Solve the equation to find the number.
21. Ivan wants to buy a skateboard that costs $42. He plans to save $3 each week to buy the skateboard. a) Write an equation you can solve to find how many weeks it will take Ivan to save $42. b) Solve the equation to find the number of weeks. 22. The length of each side of a regular decagon is 23 cm. a) Write an equation you can solve to find the perimeter, P cm, of the decagon. b) Solve the equation to find the perimeter.
23. The perimeter of a regular hexagon is 48 cm. a) Write an equation you can solve to find the length of a side, L cm. b) Solve the equation to find the side length. 24. Siew Choo has $60 in her bank account. She saves $24 every month. a) Write an equation you can solve to find the amount, $A, in Siew Choo s account after 7 months. b) Solve the equation to find the amount in the account after 7 months.
Problem 25. Keith pays $67 to buy a bag of potting soil priced at $13 and 6 shrubs. The shrubs are priced the same. How much does each shrub cost? a) Write an equation you can use to solve the problem. b) Solve the equation to answer the question. Show your work. 26. Mandy and 2 friends bought some mechanical pencils at a special sale. They shared the pencils equally. Mandy then gave 2 to her brother and had 10 pencils left. How many pencils did Mandy and her friends buy at the sale? a) Write an equation you can use to solve the problem. b) Solve the equation to answer the question.
27. Ms. Shaban has 79 fruit bars. She keeps 4 for herself and shares the rest equally among the Math Club members. Each member gets 5 bars. How many members are in the Math Club? a) Write an equation you can use to solve the problem. b) Solve the equation to answer the question.
Math 7-6.1 Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: Easy REF: 6.1 Solving Equations LOC: 7.PR3 7.PR4 2. ANS: D PTS: 1 DIF: Easy REF: 6.1 Solving Equations LOC: 7.PR3 7.PR4 3. ANS: C PTS: 1 DIF: Easy REF: 6.1 Solving Equations LOC: 7.PR3 7.PR6 4. ANS: A PTS: 1 DIF: Easy REF: 6.1 Solving Equations 5. ANS: D PTS: 1 DIF: Easy REF: 6.1 Solving Equations 6. ANS: C PTS: 1 DIF: Easy REF: 6.1 Solving Equations 7. ANS: A 8. ANS: D KEY: Problem-solving Skills 9. ANS: C LOC: 7.PR3 7.PR6 10. ANS: A 11. ANS: D 12. ANS: A SHORT ANSWER 13. ANS: 7 PTS: 1 DIF: Easy REF: 6.1 Solving Equations
14. ANS: 4 PTS: 1 DIF: Easy REF: 6.1 Solving Equations 15. ANS: 15 16. ANS: 5 17. ANS: 3 18. ANS: a) x 7 = 6 b) x = 13 19. ANS: a) b) x = 45 20. ANS: a) 4x 8 = 4 b) x = 3 21. ANS:
a) Let w represent the number of weeks it will take Ivan to save $42. b) w = 14 It will take 14 weeks. 22. ANS: A regular decagon has 10 sides. a) b) The perimeter is 230 cm. 23. ANS: A regular hexagon has 6 sides. a) b) The length of a side is 8 cm. 24. ANS: a) b) A = 228 The amount will be $228. PROBLEM 25. ANS: a) Let c represent the cost of each shrub in dollars. b) Solve by systematic trial. Try c = 10: 73 is too large. Try a lesser value of c. Try c = 9: This is correct. So, each shrub costs $9. PTS: 1 DIF: Difficult REF: 6.1 Solving Equations
KEY: Procedural Knowledge Communication 26. ANS: a) Let p represent the number of mechanical pencils Mandy and her friends bought at the sale. b) p = 36 Mandy and her friends bought 36 pencils. 27. ANS: a) Let x represent the number of Math Club members. b) x = 15 There are 15 members in the Math Club. PTS: 1 DIF: Difficult REF: 6.1 Solving Equations