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Review of Expessions

Review of Expessions. Distribution. Ex. 1) Simplify. -3(4x – 2). -3(4x + -2) -3(4x) + -3(-2) -12x + 6. Distribution. Ex. 2) Simplify. Combining Like Terms. Ex. 3) Simplify. 9y – 4 – 12y + 7. 9y + -4 + -12y + 7 (9 + -12)y + (-4 + 7) -3y + 3.

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Review of Expessions

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  1. Review of Expessions

  2. Distribution Ex. 1) Simplify. -3(4x – 2) -3(4x + -2) -3(4x) + -3(-2) -12x + 6

  3. Distribution Ex. 2) Simplify.

  4. Combining Like Terms Ex. 3) Simplify. 9y – 4 – 12y + 7 9y + -4 + -12y + 7 (9 + -12)y + (-4 + 7) -3y + 3

  5. Distribution and Combining Like Terms Ex. 4) Simplify. 4(x + 2) + 2(5x + 7) 4x + 8 + 10x + 14 (4 + 10)x + (8 + 14) 14x + 22

  6. Adding linear expressions Ex. 5) Simplify. (12x + -15) + (-8x + 24) 12x + -15 + -8x + 24 Rewrite vertically with like terms in columns. 4x + 9 Combine columns.

  7. Subtracting linear expressions Ex. 6) Simplify. (-6x + 1) – (2x – 5) Rewrite as adding the additive inverse. (-6x + 1) + (-2x +5) -6x + 1 + -2x + 5 Rewrite vertically with like terms in columns. -8x + 6 Combine columns.

  8. Subtracting linear expressions Ex. 7) Subtract (-2x + 5) from (-4x – 7). Be careful with order as you set up the subtraction problem! (-4x – 7) – (-2x + 5) (-4x – 7) + (+2x + -5) Rewrite as adding the additive inverse. -4x + -7 + 2x + -5 Rewrite vertically with like terms in columns. -2x + -12 = -2x – 12 Combine columns.

  9. Factoring expressions Ex. 8) Factor. 27x + 9 The GCF of 27x and 9 is 9. 9(3x) = 27x and 9(1) = 9 9(3x + 1) Rewrite the expression as a product of the GCF and a binomial. Remember, you can check your answer by completing the distribution! 9(3x + 1) = 27x + 9

  10. Factoring expressions Ex. 9) Factor. 8x – 20 The GCF of 8x and 20 is 4. 4(2x) = 8x and 4(5) = 20 Rewrite the expression as a product of the GCF and a binomial. 4(2x – 5) Remember, you can check your answer by completing the distribution! 4(2x – 5) = 8x – 20

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