Combine Like Terms and Distributive Property with Exponents

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

Which of the following are examples of like terms?

• 2 and 2x

• y³ and x³

• y and x

• -3x and 3x

Combine like terms to simplify: (5x + 2) + (4x - 5)

• 9x -3

• -9x-7

• 9x+7

• x+7

To be like terms that you can combine, variable terms must

• have the same coefficients

• have the same variable(s) with the same exponents

• have any variables, so you can combine 7h + 8y

Simplify by combining like terms:

11r + 3 + 3r - 3

• 14r - 6

• 8r

• 14r

Allows you to multiply each term separately and then combine the products.

• Associative Property

• Commutative Property

• Additive Inverse Property

• Distributive Property

(6s³ + 9s + 10) +
(3s³ + 4s - 10)

• 3s³ + 5s + 20

• 9s³+13s

• 3s⁶ + 5s² + 20

• 3s² +5s + 10

(5x² -3x + 4) +
(6x -3x² - 3)

• 3x² + 2x + 1

• 2x² + 3x +1

• 2x² + 5x - 7

• 3x² + 4x⁵ -7x

The distributive property of addition states that...

• Numbers can be rearranged and then added in any order

• You can add numbers regardless of how they are grouped together

• Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products