Operations with Polynomials

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 
• -7n² - 8n + 3 
• -6n² - 8n + 3
• -7n² - 4n + 3

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

What is the perimeter of the rectangle?

Hint: Add all four sides.

• x²+8x-5

• 2x²+16x-10

• 2x²+10x-8

• 6x-2

When we multiply exponents with the same base we _______ the exponents.

• add
• subtract
• multiply
• divide

Tags

CCSS.6.EE.A.1

When adding or subtracting polynomials we add / subtract the _____________________________.

• Exponents
• Polynomials
• Coefficients
• All of the above

Tags

CCSS.HSA.APR.A.1

Find the area of a rectangle with length (x-5) and width (3x+1).

Hint: multiply the two sides.

• 3x²-14x+5

• 3x²-14x-5

In a skating contest, John gives Mark a 60 meter head start. After t seconds, Mark is a distance 6t + 60 from the starting line and John is a distance of 7t from the starting line. How far ahead of John is Mark after t seconds?

• 13t+60

• t+60

• t-60

• -t+60

Like terms have ________.

• only the same variable

• the same power but different variables

• the same variable but different powers

• the same variable at the same power

Tags

CCSS.6.EE.A.2B

When Multiplying Polynomials like (x - 2) (x + 9) which methods can you use? Choose ALL that are correct.

• Box Method

• Distributive Property

• Area Model

• PEMDAS

According to the table, how much more is gas at Citgo Gas than Hess Gas? Which expression would you set up?

• (12x - 10) - (-4x + 9.2)
• (12x - 10) + (-4x + 9.2)
• (-4x + 9.2) - (12x - 10)
• (12x - 10) + (4x + 9.2)

Each week, Kailee pays for lunch for her friends. Write an expression that represents her total cost for the month.

• 27x
• 11x + 18
• 11x + 16
• 29x