Unit 4 lesson 8 dist property combining like terms
- 1. Name ___________________________________ Date _________________________ Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 8 Distributive Property and Combining like Terms Essential Question: Why do we represent numbers in different ways? Step 1 - Distribute (only to the numbers inside the parenthesis) Step 2 - Combine Like Terms (leave your answer as an expression - "in terms of x") Simplify by distributing and combining like terms. Show your work. The first one is done for you. 1. 3(x + 6) + 7x = 2. 6m + 3(m + 5) + 7 = 3 x + 18 + 7x = 10x + 18 3. 7(2 + x) + 8 = 4. 5(m + 9) + 4 = 5. 9 + 5(2x + 4) = 6. 3m + 2(5 + m) = 7. 12 + 3(x + 8) = 8. 6m + 14 + 3(m + 7) = 9. 3(7x + 2) + 8x = 10. 4(m + 6) + 3(3 + m) =
- 2. Step 1 - Distribute (only to the numbers inside the parenthesis) Step 2 - Combine Like Terms Step 3 – Plug in given the value of the variable and solve Simplify the expression first. Then evaluate the resulting expression for the given value of the variable. 11. 3x + 5(2x + 6) = _____ if x = 4 12. 9(2m + 1) + 2(5m + 3) = _____ if m = 2 3x + 10x + 30 = 13x + 30 = 13(4) + 30 = 82 13. 4 + 6(2x + 7) = _____ if x = 3 14. 7(7 + 5m) + 4(m + 6) = _____ if m = 1 15. 8 + 5(9 + 4x) = _____ if x = 2 16. 2(4m + 5) + 8(3m + 1) = _____ if m = 3 17. 6(4x + 7) + x = _____ if x = 2 18. 5(8 + m) + 2(7m – 7) = ______ if m = 3
- 3. Name ___________________________________ Date _________________________ Mrs. Labuski / Mrs. Portsmore Period _____ Unit 4 Lesson 8 Distributive Property and Combining like Terms Essential Question: Why do we represent numbers in different ways? Step 1 - Distribute (only to the numbers inside the parenthesis) Step 2 - Combine Like Terms (leave your answer as an expression - "in terms of x") Simplify by distributing and combining like terms. Show your work. The first one is done for you. 1. 3(x + 6) + 7x = 2. 6m + 3(m + 5) + 7 = 3 x + 18 + 7x = 6m + 3m + 15 + 7 = 10x + 18 9m + 22 3. 7(2 + x) + 8 = 4. 5(m + 9) + 4 = 14 + 7x + 8 = 5m + 45 + 4 = 22 + 7x 5m + 49 5. 9 + 5(2x + 4) = 6. 3m + 2(5 + m) = 9 + 10x + 20 = 3m + 10 + 2m = 29 + 10x 5m + 10 7. 12 + 3(x + 8) = 8. 6m + 14 + 3(m + 7) = 12 + 3x + 24 = 6m + 14 + 3m + 21= 36 + 3x + 24 = 9m + 35= 9. 3(7x + 2) + 8x = 10. 4(m + 6) + 3(3 + m) = 21x + 6 + 8x = 4m + 24 + 9 + 3m = 29x + 6 = 7m + 33 =
- 4. Step 1 - Distribute (only to the numbers inside the parenthesis) Step 2 - Combine Like Terms Step 3 – Plug in given the value of the variable and solve Simplify the expression first. Then evaluate the resulting expression for the given value of the variable. 11. 3x + 5(2x + 6) = _____ if x = 4 12. 9(2m + 1) + 2(5m + 3) = _____ if m = 2 3x + 10x + 30 = 18m + 9 + 10m + 6 = 13x + 30 = 28m + 15= 13(4) + 30 = 82 18(2) + 15= 36+15 = 51 13. 4 + 6(2x + 7) = _____ if x = 3 14. 7(7 + 5m) + 4(m + 6) = _____ if m = 1 4 + 12x + 42 49 + 35m + 4m + 24 46 + 12x 73 + 39m 46 + 12(3) 73 + 39(1) 46 + 36 73 + 39(1) 82 112 15. 8 + 5(9 + 4x) = _____ if x = 2 16. 2(4m + 5) + 8(3m + 1) = _____ if m = 3 8 + 45 + 20x = 8m + 10 + 24m + 8 53 + 20x = 32m + 18 53 + 20(2)= 32(3) + 18 53 + 40 96 + 18 93 114 17. 6(4x + 7) + x = _____ if x = 2 18. 5(8 + m) + 2(7m – 7) = ______ if m = 3 6(4x + 7) + x = 5(8 + m) + 2(7m – 7) = 24x + 42 + x = 40 + 5m + 14m – 14 = 24(2) + 42 + 2 = 40 + 5(3) + 14(3) – 14 = 48 + 42 + 2 40 + 15 + 42 – 14 90 + 2 55 + 42 – 14 92 97 – 14 83