Algebra 1 lesson on combining like terms

1. Agenda Tuesday, September 22 1. Correct homework. 2. More Distributive Property Combining Like Terms 3. Homework 9 p. 50 # 16 - 34 evens, 35 - 42, 62, 64, 70

3. we will redo # 35 - 41 tonight - sorry

4. Examples Like terms are terms that contain the same variables raised to the same power. Only the coefficents are different. Like terms Unlike terms 5x and -3x 2x 2 and 14x 2 -3 ab and ab 5 and -3x 2x and 14x 2 -a2 b and 12 ab

5. To combine like terms, add the coefficients and keep the variables and the powers the same. Only like terms with the same variables to the same powers can be combined. EXACTLY

6. 3x + 4x = (3 + 4)x = 7x Simplify the expression: Yes, they have the same variable raised to the same power. 3 x 1 + 4 x 1 Are these like terms? Like terms can be simplified using the distributive property. ? 3x + 4x

7. Find like terms x 1 2 x 2 y 2x 2 -xy 2 3xy 2 x -3x 2 -4x 5x 2 xy 2 x 2 y 2

8. x 2 y 2 Like terms Like terms Like terms Not like terms Solution x 1 2 x 2 y 2x 2 x -3x 2 -4x 5x 2 -xy 2 3xy 2 xy 2

9. Simplify by combining like terms 8x + 9x - 3x = (___+___-___)x 9y - 2y - 7y = (___-___-___)y = ___y = ___x 5y + 5y = (___+ ___)y = ___y 4x - x = (4 - 1)x = ____x 10y 0 3x 14x

11. Simplify by combining like terms 2x 2 y + x 2 y - 2x 2 y = (___+___-___)x = ____x 2 y 4x 3 - x 3 - 6x 3 = (___-___-___)x 3 = ___x 3 6x 2 - x 2 = (___-___)x 2 = ____x 2 -3x 3 1x 2 y or x 2 y 5x 2

14. More Practice: 3x 2 + 5x 2 8x 2 7y + 6y 13y 3t - t 2t -4w - 8w -12w 8d 3 + d 3 9d 3 6x + 3x - 4x 5x 7y 2 + 6x 2 - y 2 - 9x 2 6y 2 - 3x 2