Distributive Property

The Distributive Property and everything in between yo

Easy: 5(a - 1)

5a - 5

Easy: What is a variable?

A letter representing a number ( lil letters :D )

Easy: 3(x + 2)

3x + 6

Easy: What is a coefficient?

The number in front of a variable, (big brother number) Example: 7x. 7 is a coefficient.

Easy: 2y (3)

6y

Easy: x multiplied by x.

x^2

Easy: 4 (m + 5)

4m + 20

Easy: -2 (a+3)

-2a - 6

Easy: What is an exponent?

A tiny raised number showing repeated multiplication. Example: m x m = m^2.

Easy: 3x + 2x

5x

12gh + 3g (2h - 9) +3g

18gh - 24g

Medium: 5y (3x-4y)

15xy - 20y^2

3 (c - 2) +2

3c - 4

12m (4m + 10)

48m² + 120m

3d ( d - 4 ) + 2d²

5d² - 12d

5 - 3g + 6 (2g - 7)

-37 + 9g

Fill in the blank: The distributive property states that a(b + c) = ___ + ___.

ab + ac

6 (2h + 1) + 2 (h - 3)

14h

2a (a + 2) - 5 (a² + 7)

4a - 3a² - 35

6n (3y + 7) - 3n (8y + 9)

15n - 6ny

Hard: Factorize this: 14g - 7gh

7g (2 - h)

Hard: Factorize this: 16jk - 2k

2k (8j - 1)

Hard: Factorize this: 8r +14rt

2r (4+7t)

Hard: Factorize this: 12ac - 4c +3dc

c (12a - 4 +3d)

Hard; Factorize this: 4g + 8h -16

4 (g + 2h - 4)

Extreme: Simplify 3x + 9 / 12-15x

x + 3 / 4 - 5x