Polynomial Operations Word Problems

A rectangle has a width of (6x + 4x⁴ - 3x²) and a of (7x⁴ + 5x² + 8x). What would the perimeter of the rectangle be?

• 22x⁴ + 4x² + 28x

• 32x⁴ + 2x² + 28x

• 22x⁴ + 2x² + 28x

• 22x⁴ + 4x² + 20x

Tags

CCSS.HSA.APR.A.1

The perimeter of the triangle is 3x³ + 4x² + 8x + 15. If the shortest side is  2x² + 12x, the longest side (the hypotenuse) is x³ – 8x + 7, then what is the missing side length?

• 2x³ + 2x² + 4x + 8

• 4x³ + 6x² + 12x + 22

• 2x³ + 6x² + 28x + 8

• 4x³ + 2x² - 12x + 22

Tags

CCSS.HSA.APR.A.1

A rectangle has a length of (15x² + 7x) and a width of (7x² + x). What is the difference between the area and perimeter of the rectangle?

• 105x⁴ + 64x³ - 37x² - 16x

• 105x² + 64x³ - 15x² - 8x

• 105x⁴ - 15x² +8x

• 105x⁴ -37x² -16x

A = 2x² + 3x + 5
C = 3x² - 7x + 12
If A + B = C,
what must B equal?

• x² - 10x + 7

• 5x² - 4x + 17

• x² - 4x + 7

• 5x² - 10x + 17

Tags

CCSS.HSA.APR.A.1

Write an expression in simplified form to represent the area of the rectangle.

Mathematical Equivalence

OFF

Tags

CCSS.HSA.APR.D.6

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1

Write a polynomial that represents the area of the shaded region in the diagram.

A box is created from a square piece of cardboard by cutting a square from each corner and then folding up the sides.

What would be the total volume, in standard form, that the pictured cardboard could hold?

A square garden is surrounded by a walkway with a width of x.

How much area does the walkway alone cover?

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

Tags

CCSS.HSA.APR.A.1