Polynomials and Function Operations Test

The sophomore class is working on a float for the homecoming parade. They need to put a fringe around the perimeter of a rectangular trailer.

a) If the length is 6 ft. longer that the width, what is the expression in simplest form that represents how long the fringe needs to be? Use L for length and w for width.

Tags

CCSS.7.EE.A.1

Kyra is framing a square painting with side lengths of (x + 8) inches. The total area of the painting and the frame has a side length of (2x - 6) inches. Write an expression for the area of the frame in the simplest form.

A local electronic store is offering a $100 rebate alond witha 10% discount. Let x represent the original price of an item in the store. Write the D(x) that represents the sale price after a 10% discount.

• D(x)= 1-0.10x

• D(x)= x-100

• D(x) = 0.90x

• D(x)= 100-0.10x

Tags

CCSS.HSF-BF.A.1A

A local pet store is having a 25% off sale on pet toys. You also have a $20 off coupon. Find the composite function P(x) if you use the coupon first and then the store sale of 25% off.

• P(x)= 0.75x-15

• P(x)=0.75x-20

• P(x)= 20-.25x

• P(x)= 20-0.75x

Tags

CCSS.HSF-BF.A.1C

 $Find\ the\ product:\ \left(x+6\right)^2$  

•  $x^2-36$  

•  $x^2+36$  

•  $x^2-12x\ +12$  

•  $x^2\ +12x+36$  

Tags

CCSS.HSA.APR.C.4

 $Find\ \left(f\circ\ g\right)\left(n\right)$  

 $f\left(n\right)=n^2+4n$   $g\left(n\right)=2n-5$  

•  $2n^2+8n-5$  

•  $n^{2\ }+4n$  

•  $2n^2-8n-5$  

•  $4n^2-12n+5$  

Tags

CCSS.HSF-BF.A.1C

 $Find\ \left(f\times g\right)$ 

  $f\left(x\right)=3x\ +3$   $g\left(x\right)=x^2-4x$  

•  $-3x^4-6x^3$  

•  $x^{3\ }+2x^2+3x$  

•  $-x^{3\ }+2x^2+8x$  

•  $3x^3-9x^2-12x$  

Tags

CCSS.HSF-BF.A.1B

 $The\ result\ of\ \left(x+2\right)\left(x-2\right)$  

select all that apply

• is called the difference of squares

• has a leading coefficient of 1

• is called a perfect square trinomial

• doesn't have a leading coefficient

• the constant is -4

Tags

CCSS.HSA.APR.C.4

 $\left(-14x^2+4x^3-10x^5\right)-\left(-10x^3-10x^2+6x^5\right)$  

•  $-16x^5+14x^3-4x^2$  

•  $-26x^5+14x^3-15x^2$  

•  $-16x^5+20x^3-15x^2$  

•  $-26x^5+20x^3-4x^3$  

Tags

CCSS.HSA.APR.A.1