Combing Polynomials with Variables and Exponents

When adding two polynomials, the first step is to...

• Combine Like Terms
• Identify Like Terms
• Use the distributive property
• Use the associative property

(10g² + 3g - 10) +
(2g² + g +9)

• 8g² + 2g - 1
• 12g² + 4g - 1
• 12g⁴ + 4g - 1
• 8g² + 2g - 19

(6s³ + 9s + 10) +
(3s³ + 4s - 10)

• 3s³ + 5s + 20
• 9s³+13s
• 3s⁶ + 5s² + 20
• 3s² +5s + 10

One difference between adding and subtracting polynomials is...

• Using the associative property
• Using the distributive property
• Using the commutative property
• Nothing. The process is the same

The commutative 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

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

(5x² -3x + 4) +
(6x -3x² - 3)

• 3x² + 2x + 1
• 2x² + 3x +1
• 2x² + 5x - 7
• 3x² + 4x⁵ -7x

The associative 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

Classify the expression by the number of terms: -2x³ + 9x² + 6

• Monomial
• Binomial
• Trinomial
• Polynomial

(2x + 5y) +
(3x - 2y)

• 3x + 5y
• 5x + 3y
• 5x + 7y
• 7xy + 1xy