Combining Like Terms and using the Distributive Property

Combining Like Terms and using the Distributive Property

Vocabulary • Expression – number sentence that does NOT have an equal sign Ex. 4 x – 6 x + 5 • Coefficient - Number used to multiply a variable ex. 4 x – 6 x • Term – Each part of an expression, separated by a + or - sign Ex. 4 x – 6 x + 5 • Like Term – Terms that have the same variable Ex. 4 x – 6 x • Constant – A specific value that does not change Ex. 4 x – 6 x + 5

Review what are LIKE terms those who are “dressed” alike • 5 x – 6 x • 6 y – 5 x + 4 y • -7 m -8 m – 9 m 2 • -8 – 4 + 6 t • y – 3 y + 3

Combine LIKE terms 7 m – 4 m

Combine LIKE terms -9 r + 3 r - 8

Combine LIKE terms -m -8 m + 3

Combine LIKE terms -4 + 7 g + 2

Combine LIKE terms -6 y + 4 – 3 y -8

Combine LIKE terms 9 – 15 + 7 n – 5 n

The Distributive Property • The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. 8( 5 x – 3)

(3 x 20) + (3 x 15) 3(20+15) Solve the 2 expressions. What do you notice about the answers?

Distributive Property • To multiply a sum by a number, multiply each addend by the number outside the parenthesis • 3(20+15) = 3 x 20 + 3 x 15 • a(b+c) = a x b + a x c

Video • https: //www. youtube. com/watch? v=v 6 MSh. C 82 ow • https: //www. youtube. com/watch? v=EWcllbr 8 Hqs • https: //www. youtube. com/watch? v=v 6 MSh. C 82 ow (Math Antics)

Generate an expression equivalent to 2(k + 7) using the distributive property. 2·k+2· 7 2 k + 14

Generate an expression equivalent to 9(x + 4) using the distributive property. 9·x+9· 4 9 x + 36

Generate an expression equivalent to -5(x - 4) using the distributive property. -5 · x + -5 · -4 -5 x + 20

Generate an expression equivalent to - 7(x+5) using the distributive property.

Generate an expression equivalent to 3(5 r- 4) using the distributive property.

Generate an expression equivalent to -10(-4 r- 9) using the distributive property.