Algebra 1 Section 2.6Use the distributive property

Combine similar termsNote: 7(105) = 735Also 7(100+5) 7(100) + 7(5) 700 + 35 = 735

3(x+2)3x + 3(2)3x + 6

To find the area of the rectangle

Distributive Propertya(b+c) = ab + ac

(b + c)a = ab + bc

Simplify using the distributive property

3(x+5)

(x-4)6

y(3 – y)

(7 + 2w)(-5)

-6(w-5z)

3(x + 2y + 4z)

You have a bill at a restaurant for $36. You want to leave a tip of 15%. Use the distributive property to calculate the amount of the tip.

In the expression 2x + 3y + 6z + 7, the numbers 2,3, and 6 are coefficients. 7 is a constant.

Terms are similar (like terms) if they differ only by their coefficients.

9x

-5y

1xy2

3x

6y

4xy2

Similar terms

Simplify

9x + 3x

12z – 8y + 5z + 10y

6x2 + 4x - 2x2 + 7x

6 + 2(4 + x)

8 – 5(3 – a) + 3(a +2)

Assignment

• Page 103• Problems 20-68 even, 83-88 all, 94,102,108