Polynomial Applications

What is the perimeter for the given rectangle:

• 6x³ - 9x² + 10x - 15
• 6x² + 1x - 15
• 6x² + 4x + 4
• 6x³ + 1x² - 15x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the area for the given rectangle:

• 6x³ - 9x² + 10x - 15
• 6x² + 1x - 15
• 6x² + 4x + 4
• 6x³ + 1x² - 15x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• 8x-8
• 4x-4
• 8x+8
• 4x+12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• 3x²+16x-5
• 3x²-14x+5
• 3x²-14x-5

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the area of the triangle with height (x+8) and base (2x+4). ( $A=\frac{1}{2}bh$ ) 

• 2x²+20x+32

• x²+10x+16

• 4x²+40x+64

• x²+32x+16

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the volume of a rectangular prism with length (x+2), width (x-4), and height (2x+1). 

• $2x^3-3x^2-18x-8$

• $x^2-2x-8$

• $2x^3+5x^2+18x-8y$

• $2x^2+4x+6$

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

Tags

CCSS.HSA.APR.A.1

You want to create a garden in your backyard. Given are the dimensions of the garden and a border. Determine the area of the gray border surrounding the garden bed.

• 8x + 24

• 6x + 32

• 2x² - 8x + 4

• x² + 16x + 16

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the width for a rectangle that has an area of 2x² + 6x – 8 and length of 2x – 2

• x + 4
• 2x² + 4x – 6
• x - 4
• x + 4 - 16/(2x-2)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4