Distributing with Polynomials Adding Subtracting

How do you combine like terms after distributing binomials?

• Add or subtract terms with the same variable

• Multiply terms with the same variable

• Add coefficients to constants

• Ignore constants and focus on variables

Tags

CCSS.6.EE.A.3

Which of the following steps should you take after distributing terms when expanding binomials?

• Combine like terms

• Factor the expression

• Divide by the constant

• Simplify the coefficients

Tags

CCSS.HSA.APR.A.1

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

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

Tags

CCSS.HSA.APR.A.1

(x³-x²+4) - (3x³-2x²+3)

• -2x³-3x²+7

• -2x³+x²+1

• 2x³-3x³-1

• 4x³-3x²+7

Tags

CCSS.HSA.APR.A.1

Add or Subtract to Simplify:

(4x²+ x) - (x² -2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Tags

CCSS.HSA.APR.A.1

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

Tags

CCSS.HSA.APR.A.1

Darnell and Stephanie work for competing refreshment stand companies. Darian's profit can be modeled using the polynomial 2c² - 7c - 200, where c is the number of items sold. Stephanie's profit can be modeled with the polynomial c² + 8c - 100. Write a polynomial to represent the difference between their profits.

• c² -15c - 100

• 3c² -c - 300

• c² +15c + 300

• 3c² -15c - 100

The total area of the playground, the larger rectangle, is 
16x² − 5x + 2. The area of the play area, the smaller rectangle, is 10x² + 3x − 1. Write an expression to represent the area of the sidewalk.

• 6x² − 8x + 3

• 16x² − 8x + 3

• 16x² − 2x + 1

An airline charges $(20x + 4) for a ticket and $(4x) for a seat upgrade, and $(2x + 1) for premium movies on a flight. Which expression represents the total price you would pay for a seat with an upgrade, and premium movies?

• $31x

• $24x + 4x + 3x

• $24x + 7

• $26x + 5

Tags

CCSS.HSA.APR.A.1

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

• 9x -3

• -9x-7

• 9x+7

• x+7

Tags

CCSS.7.EE.A.1