The Distributive Property and Like Terms

Review 4 is the coefficient of x 3 is the coefficient of

LIKE Terms Like terms are terms in an expression that have the - same variable - raised to the same power

LIKE Terms 5x and 3x are like terms 4 and 2 are also like terms 7x2 and x2 are also like terms

LIKE Terms 5x and 7x2 are NOT like terms WHY????

LIKE TERMS NOT like terms 3b and 5b 3b and 5c 7x2 and 5x2 7x2 and 7y2 14c and 8c 7c3 and 5c3 NOT like terms 3b and 5c 7x2 and 7y2 12x2 and 7x 18a and 18b LIKE TERMS same variable raised to the same power

Like Terms?? 8a and 12a 8b and 5c 7a and 7b 5c2 and 7c2 8x2 and 12x2 12g and g2 c and 8c 18b5 and 2b2 5ab and 7bc 7c3 and 5c3 8b and 5c 5c2 and 7c2 3x2 and 7z2 10x2 and 8x2 5xy and 6x 18a and 18b 5a and 8a 8x3 and 12c3

What do we do with LIKE TERMS? We can add the coefficients together. (We can subtract also) Be careful - the coefficient changes but the variable and power do NOT change.

Combine Like Terms 8a + 12a = 20a 8x2 + 12x2 = 20x2 c + 8c = 9c 18b5 - 2b5 = 16b5 5b + 7b = 12b 7c3 + 5c3 = 12c3 coefficient changes the variable and power do NOT change.

Combine Like Terms 5c2 + 7c2= 12c2 10z2 + 8z2 = 18z2 5y + 6y = 11y 5a + 8a = 13a 10x3 – 3x3= 7x3 a + 6a = 7a coefficient changes the variable and power do NOT change.

Combine Like Terms 8a + a = 8x2 + 6x2 = 5c + 12c = 18x5 – 2x5 = 15w - 7w = 9c3 + 3c3 = coefficient changes the variable and power do NOT change.

Combine Like Terms 5y2 + 7y2= 2r2 + 3r2 = 8y - y = 11a + 8a = 12x3 – 5x3= 12a + a = coefficient changes the variable and power do NOT change.

The Distributive Property The product of 4 and (2+3x): 4(2+3x) 4●2 + 4 ● 3x 8 + 12x Sharing what is Outside the parentheses with EVERYTHING INSIDE the parentheses.

Example using the distributive property

Example using the distributive property

The Distributive Property The product of 5 and (a + 12): 5(a + 12) 5●a + 5 ● 12 5a + 60 Sharing what is Outside the parentheses with EVERYTHING INSIDE the parentheses.

Example using the distributive property

Another Example

Another Example

Another Example

Another Example

Another Example

Simplify

Simplify

Simplify

Simplify

Simplify

Another Example

Simplify

Another Example

Simplify

Simplify

Simplify

Simplify