1 Math I can create equivalent expressions. By Combining Like Terms 1
Foldable Example: 12x x + 4y − y 2 1.Draw lines in front of each + or − to separate all terms. 2.Highlight all like terms in the same colors. 3.Put each group of like terms together. 4.Simplify each group into one single term by adding.
Highlight Like Terms with variable x with pink Highlight Like Terms with variable y with orange Highlight Constants with yellow Then simplify each expression by combining like terms. 3x x + 1 7x + 3 3
4 Simplify each expression a.2x x + 3y b.8x x + 5 c.3x + x – 8 + y d.-4x x + 17
5 Simplify each expression. a)9 + 4x x b)2x + 2y + x y c)6y + 4x + 7y + x + 5 d)2x x 2 + 4y + 6y + 14
Notes If there are parenthesis in the problem, always apply the distributive property before combining like terms. a)5(2x + 13) + 7x b)4x + 5(2x + y) + 3y c)7.6x + 3.2(3.1x + 2.4) 6
Are the following expressions equivalent? Use the distributive property and combine like terms when needed. 1)5a + 7(3 + a) and 12a )7y – y and 9y – 15 3)5x + 6 and x(5 + 6) 4)4k + 12 and 2(2k + 5) + 2 7