1. Distribute by multiplication: 15n and 20 are not alike and therefore cannot be combined. The answer 15n + 20 is simplified because we do not know what the value of n is at this time and cannot complete the multiplication part of this problem. The Distributive Property Expressions with variables: Simplify 5(3n + 4). No symbol between the 5 and the parenthesis indicates a multiplication problem.

2. Distributive Property Example: 6(a + 3) Use the Distributive Property (6a) + (6 x 3) Multiply 6a + 18 Simplified ***CAN NOT add 6a + 18 together because they are not like terms.

3. The constant terms 8 and 6 can be combined to form the constant number 14. The answer 28n + 14 is simplified because we do not know what the value of n is at this time and cannot complete the multiplication part of this problem. The Distributive Property Simplify 4(7n + 2) + 6. No symbol between the 4 and the parenthesis indicates a multiplication problem.

4. Step 1) Use the Distributive Property 3 (2x – 5) - 2x Step 2) Combine Like Terms6x – 15 – 2x *** 6x and 2x are like terms!!!! Step 3) Simplified Expression4x – 15 Distributive Property

5. Solve: 2x + 6(x + 1) Explain how each of the below answers are wrong and why. 2x + 6x + 1 2x + 6x + 6 = 14x Practice Problems

6. Solve: 4x(x - 2) = 4x 2 – 8x Solve: 3x(y – 3) = 3xy – 9x Solve: 4(-2x + 5) 2 = -4x + 10 Practice Problems