8-2 Skills Practice Multiplying a Polynomial by a Monomial Find each product. 1. + 3) 2. + 4) a(4a –c(11c 3. 5) 4. 2y( 4) x(2x y – – 5. + 2n) 6. 4h(3h 5) –3n( – 7. 3x(5 + 4) 8. 7c(5 2+ ) x – – 9. 9b 2b2) 10. 6y(–5 + 4) –4b(1 – – – y 11. 2(2 + 3m 5) 12. + 3n + 4) – –3(–2 Simplify each expression. 13. + 2) + 5w 14. (5f 3) 2f w(3w f – – 15. 8) 5p 16. (–4y + 5) 6 –p(2p – – – 17. 2x(3 + 4) 3 18. 4a(5 4) + 9a – – 19. 4b(–5b 3) 2( 7b 4) 20. 3m(3m + 6) 3( + 4m + 1) – – – – – Solve each equation. 21. 3(a + 2) + 5 = 2a + 4 22. 2(4x + 2) 8 = 4(x + 3) – 5(y + 1) + 2 = 4(y + 2) 6 4(b + 6) = 2(b + 5) + 2 23. 24. – 25. 6(m 2) + 14 = 3(m + 2) 10 26. 3(c + 5) 2 = 2(c + 6) + 2 – – –
8-2 Skills Practice Multiplying a Polynomial by a Monomial Find each product. 1. a(4a + 3) 2. –c(11c + 4) 3. x(2x – 5) 4. 2y( y – 4) 5. –3n( + 2n) 6. 4h(3h – 5) 7. 3x(5 – x + 4) 8. 7c(5 – 2+ ) 9. –4b(1 – 9b – 2b2) 10. 6y(–5 – y + 4) 11. 2(2 + 3m – 5) 12. –3(–2 + 3n + 4) Simplify each expression. 13. w(3w + 2) + 5w 14. f (5f – 3) – 2f 15. –p(2p – 8) – 5p 16. (–4y + 5) – 6 17. 2x(3 + 4) – 3 18. 4a(5 – 4) + 9a 19. 4b(–5b – 3) – 2( – 7b – 4) 20. 3m(3m + 6) – 3( + 4m + 1) Solve each equation. 21. 3(a + 2) + 5 = 2a + 4 22. 2(4x + 2) – 8 = 4(x + 3) 23. 5(y + 1) + 2 = 4(y + 2) – 6 24. 4(b + 6) = 2(b + 5) + 2 25. 6(m – 2) + 14 = 3(m + 2) – 10 26. 3(c + 5) – 2 = 2(c + 6) + 2
8.2-Skills-Multiplying-a-Polynomial-by-a-Monomial.docx