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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

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Example One Instructions: simplify Problem: 2b² + 3b – 5a² +7a – 3b + 2b² +a + 2a² b² 2 +2 4 +4 a² -5 +2 -3 b 3 -3 0 +0a 7 +1 8 +8

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

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Example One Instructions: Simplify

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Example Instructions: Simplify

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Example Two Instructions: simplify Question 1: 4a – 6 – 6a + 15 a 4 -6 -2 -6 +15 9 +9 2(2a - 3) - 3(2a - 5) 2 2a-3 4a-6 -3 2a-5 -6a+15

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

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6b² + 2b – a² +3a – 2b + 5b² +3a² + 2a² Classwork Instructions: simplify Problem: 2b – 3b – 2a² – 3a – 3b + 6b² – 3a + 5a² b² + 6b² +5a² – 8a + 2b² + 7b² – 5a + a²

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

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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) Simplify each expression show all the steps and distribution boxes.

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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) Classwork Three

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