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3.1-3.3 Review Jeopardy!

3.1-3.3 Review Jeopardy! . 3.1 $100. Name the property that is illustrated in each equation. ( – 4)  9 = 9  ( – 4). 3.1 $100 answer. (Order changed) Commutative Property of Multiplication. 3.1 $200. Simplify each expression. Justify each step. 29 + 37 + 1. 29 + 37 + 1.

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3.1-3.3 Review Jeopardy!

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  1. 3.1-3.3 Review Jeopardy!

  2. 3.1 $100 Name the property that is illustrated in each equation. (–4)  9 = 9  (–4)

  3. 3.1 $100 answer (Order changed) Commutative Property of Multiplication

  4. 3.1 $200 • Simplify each expression. Justify each step. • 29 + 37 + 1

  5. 29 + 37 + 1 3.1 $200, answer =29 + 1 + 37 Commutative Property of Addition Associative Property of Addition = (29 + 1) + 37 = 30 + 37 Add. = 67

  6. 3.1 $300 Simplify each expression. Justify each step. 7  2 9 1 7

  7. 2 9 1 7 = (7  )  2 9 = 1  2 9 = 7 Current, 300, answer 2 9 Commutative Property of Multiplication 1 7 Associative Property of Multiplication Multiply.

  8. 3.1 $400 • Write the product using the Distributive Property. Then solve. • 5(58)

  9. 3.1 $400, answer 5(58) 5(60 -2) Rewrite58 as a difference Distributive Property and multiply (5 60) - (5 2) 300 - 10 = 290 Subtract

  10. 3.1 $500 Write the product using the Distributive Property. Then solve. 9(34)

  11. 9(34) 3.1 $500, answer 9(30 + 4) Rewrite34 as a sum. Distributive Property and multiply (9  30) + (9 4) 270 + 36 = 306 Add.

  12. 3.2 $100 Combine like terms: 2x- 5x – 4y + 3

  13. 3.2 $100, answer 2x- 5x – 4y + 3 2x- 5x – 4y + 3 Identify like terms. -3x– 4y + 3 Combine coefficients: 2-5 2 + -5 = -3

  14. 3.2 $200 Use the distributive property to simplify. 6(5 + n) – 2n

  15. 3.2 $200, answer 6(5 + n) – 2n 6(5) + 6(n) – 2n Distributive Property 30 + 6n – 2n Multiply. 30 + 6n – 2n Identify like terms. 30 + 4n Combine coefficients: 6 – 2 = 4.

  16. 3.2 $300 Simplify: 3(c- 7) – c

  17. 3.2 $300,answer 3(c - 7) – c 3(c) - 3(7) – c Distributive Property 3c- 21– c Multiply. 3c- 21– c Identify like terms. 2c - 21 Combine coefficients: 3 – 1 = 2.

  18. 3.2 $400 9d -7c – 4d – 2c

  19. 3.2 $400, answer 9d - 7c – 4d – 2c Identify like terms. Combine coefficients: 9 – 4 = 5 -7 – 2 = -7 + (-2) = -9 5d -9c

  20. 3.2 $500 Simplify: -9(r - 4) + r

  21. 3.2 $500, answer -9(r - 4) + r -9r + 36 +r -8r +36 Distributive property Combine like terms

  22. 3.3 $100 8x + 3x + 6 – 2 = 37

  23. 33 11x = 11 11 3.2 $100, answer 8x + 3x + 6 – 2 = 37 Commutative Property of Addition 11x + 4 = 37 Combine like terms. – 4– 4Since 4 is added to 11x, subtract 4 from both sides. 11x = 33 Since x is multiplied by 11, divide both sides by 11. x = 3

  24. 3.3 $200 -9x - 5 + 4x – 2 = 43

  25. 3.3 $200, answer -9x - 5 + 4x – 2 = 43 -9x +4x -5 -2=43 -5x -7 =43 -5x=50 X= -10 Commutative Property Combine like terms Inverse operations

  26. 3.3 $300

  27. 7 7 –3 4 4 4 5n 5n ( )( ) 4 4 4 + = 4 3.3 $300, answer + = -3/4 Change denominators to 1. Multiply both sides by 4. 5n + 7 = –3 5n = -10 n=(-2) Simplify using inverse operations to isolate the variable. SAD MEG

  28. x 7x 9 2 17 9 3.3 $400 + – =

  29. 3.3 $400, answer 23x = 46 x = 2

  30. x 5x 3 9 13 9 3.3 $500 + - =1/3

  31. 3.3 $500, Answer 8x =16 X = 2

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