Adding and Subtracting Variables

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.7.EE.A.1

Find the sum

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• 
• 
• 

Tags

CCSS.HSA.APR.A.1

Find the sum

Tags

CCSS.HSA.APR.A.1

Find the difference

Tags

CCSS.HSA.APR.A.1

Find the difference

• 
• 
• 
• 

Tags

CCSS.HSA.APR.A.1

Finish the sentence:

Like terms always have_________________

• the same variables

• the same exponents

• the same coefficients

• the same variables and exponents

Tags

CCSS.6.EE.A.2B

3x + 7x

• 10x

• 4x

• -4x

• -10x

Tags

CCSS.7.EE.A.1

5a + b + 4a + b

• a + 2b

• a

• 9a - 2b

• 9a + 2b

Tags

CCSS.7.EE.A.1