Pre-Algebra Problem Solving and Expressions Review

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Dive into solving pre-algebra problems involving PEMDAS, distributive property, and expressions related to babysitting wages, bead designs, shopping expenses, and phone usage minutes. Learn step-by-step methods, examples, and counterexamples to strengthen your pre-algebra skills.


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  1. Chapter 7 Review PRE-ALGEBRA

  2. Problem Solving Tell me step by step two ways to solve this problem. 24 8 (-6 + )

  3. Answer Using PEMDAS to solve. Parentheses first, then order of operations Or, use distributive property to solve

  4. Use examples or counter examples to support or deny the following statement. gh + gi = g (h + i )

  5. Write an expression and solve! Sarah charges $6.50 per hour to babysit. She babysat for 3 hours on Friday and 5 hours on Saturday. Write two equivalent expressions for her total wages. Then find her total wages.

  6. Answer: $6.50(3 + 5) $6.50(3) + $6.50(5) Answer: $52

  7. Write an expression. Marena is using a certain number of blue beads in a bracelet design. She will use 7 more red beads than blue beads. Write an expression in simplest form that represents the total number of beads in her bracelet design.

  8. 2x + 7

  9. Kyung bought 3 CDs that cost x dollars each, 2 DVD s that cost $10 each; and a book that cost $15. Write an expression in simplest form that represents the total amount that Kyung spent.

  10. 3x + 35

  11. You used p minutes one month on your cell phone. The next month you used 75 fewer minutes. Write an expression to represent the total amount of minutes.

  12. 2p - 75

  13. Mateo has y pairs of shoes. His brother has 5 fewer pairs. Write an expression that represents the total amount of shoes.

  14. 2y -5

  15. On Monday, Rebecca spent d dollars on lunch. She spent 50 cents more on Tuesday than she did on Monday. On Wednesday, she spent twice as much as she did on Tuesday. Write an expression in simplest form.

  16. 4d + $1.50

  17. Simplify. 2/3(6a + 3b) (a 2b)

  18. 7/2a + 3b or 3 + 3b

  19. Translate the following. Eight times a number plus 3.

  20. 8x + 3

  21. Theater tickets cost $45 a person. Write an expression to represent the cost of tickets for x people.

  22. 45x

  23. Simplify. 4/5 (n + m)

  24. 4/5n + 4/5m

  25. Ricky and Harry grew potatoes. Ricky has 8 more potato plants in his garden than Harry. Harry has g potato plants. Write an expression to represent the total amount of potato plants.

  26. 2g + 8

  27. Translate the following. Seven times a number, f, increased by five is subtracted by six times the same number.

  28. f + 5

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