Standard 10 add subtract multiply and divide monomials

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

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

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

Example One Instructions: Simplify

Example Instructions: Simplify

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

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

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

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

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

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