I.
Use the distributive property to write an equivalent expression.
Distribute ​means to pass something out.
8(x +3)
4(y - 12)
(7 + m)6
5(2x + 9)
11(2 - 3k)
(8d - 9)12
II. Factor out the greatest common factor to write an equivalent expression.
1. Find the GCF and write it outside the parentheses.
2. Divide each term by the GCF and put your “answers” inside the parentheses.
2x + 6
5n - 35
16 + 24y
10 - 28w
24p + 48
9h - 21
III. Combine like terms.
* Remember, there is an understood coefficient of “1”when you don’t see a
coefficient.
*The sign to the left of the term goes with the the term.
*Variables should be in abc order first and then by highest exponent to the
lowest.
4a​2​ + 3a + 16a - a​2
6d + 5c + 4c​2​ + 3c
w+7-w+w
​
III. Simplify an algebraic expression.
1. Use the distributive property first to get rid of parentheses first.
2. Then combine ​like terms​.
3(4x + 7) + 8x - 9
15 + 8(2y + 5) - 13y
7( a + 2b + 4c) + 2(7b - 14c)