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Example One Instructions: simplify Problem:

Standard 10 add, subtract, multiply, and divide monomials and polynomials monomials are just one thing binomials are like bx + c polynomials are like ax² + bx + c. 2b² + 3b – 5a² +7a – 3b + 2b² +a + 2a². Example One Instructions: simplify Problem:. +0. +8. a. b. +4. -3. b².

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Example One Instructions: simplify Problem:

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  1. Standard 10 add, subtract, multiply, and divide monomials and polynomials monomials are just one thing binomials are like bx + c polynomials are like ax² + bx + c

  2. 2b² + 3b – 5a² +7a – 3b + 2b² +a + 2a² Example OneInstructions: simplifyProblem: +0 +8 a b +4 -3 b² a² 3 -3 0 7 +1 8 2 +2 4 -5 +2 -3

  3. Example Three Instructions: Simplify Distribution Boxes a -5 2a 2a² -10a +4 +4a -20

  4. Example One Instructions: Simplify

  5. Example Instructions: Simplify

  6. 2(2a - 3) - 3(2a - 5) 2a -5 2a -3 Example TwoInstructions: simplifyQuestion 1: -3 -6a +15 2 4a -6 4a– 6– 6a + 15 -2 +9 a 4 -6 -2 -6 +15 9

  7. Example Two Instructions: Simplify a +3 3a +3 a 2a a² +3a 6a² +6a +2 +6 +2 +6 +2a +6a

  8. Classwork Instructions: simplifyProblem: 6b² + 2b – a² +3a – 2b + 5b² +3a² + 2a² • 2b – 3b – 2a² – 3a – 3b + 6b² – 3a + 5a² • b² + 6b² +5a² – 8a + 2b² + 7b² – 5a + a²

  9. Example Two Instructions: Simplify a +3 a a² +3a +2 +6 +2a

  10. Simplify each expression show all the steps and distribution boxes. 2. -2(n - 6) - 4(n - 6) 3. 7(m + 5) - 3(2m + 2) 4. 2(4b - 3) + 2(3b - 2) 5. 9(2p - 3) - 2(2p + 3) 6. -2(3n - 2) -3(2n - 5) 7. -6(-m + 5) - (m + 2) 8. -(2b - 3) -(b + 7) 9. -4(-m + 5) - (2m + 2) 10. -(3b - 5) -6(b + 7)

  11. Classwork Three Instructions: Simplify each expression. • 1. (2m - 3)(m + 5) + (m - 6)(4m - 3) • 3. (b + 5)(b - 2) + (4b - 3)(b – 1) • 5. (2 m - 3)(m - 3) + (m - 2)(m+ 5) • 7. (m – 8)(m + 5) + (2 m - 3)(m – 3)

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