Exponent Rules and Multiplying Polynomials Review

Which expression is equivalent to the following:   

 $5q^4\left(-4q^0y^{-3}\right)$  

•  $\frac{-20q^4}{y^3}$  

•  $0$  

•  $1$  

•  $\frac{-20}{y^2}$  

Which expression is equivalent to the following:

 $\frac{9a^7b^{-2}c^3}{3a^4b^{-8}c^4}$  

•  $\frac{6a^{11}c^7}{b^{-10}}$  

•  $\frac{3a^3b^6}{c}$  

•  $\frac{6a^3b^6}{c}$  

•  $\frac{3a^{11}c^7}{b^{-10}}$  

Which expression is equivalent to the following:

 $\frac{r^w\cdot r^x\cdot r^y}{r^z}$  

•  $r^{\left(w-x-y+z\right)}$  

•  $r^{\left(w-x-y-z\right)}$  

•  $r^{\left(w+x+y+z\right)}$  

•  $r^{\left(w+x+y-z\right)}$  

Simplify the following expression:

 $(-7x^2y^7z^5)^0$  

• 0

• 1

•  $-7x^2y^7z^5$  

•  $1xyz$  

Which of the following is equivalent to

 $(4x+2)(-x^2-4x+3)$  

•  $-4x^3-18x^2+4x+6$  

•  $-4x^3-14x^2-4x+6$  

•  $-4x^3+18x^2+20x+6$  

•  $x^2+4x+6$  

A storage facility is in the shape of a rectangle. The dimensions of the storage facility are and . Write an expression that represents the area of the storage facility in square feet.

If A=b(h), which expression represents the area of the storage facility in square feet?

• $13x^2-2$

• $42x^2+5x-2$

• $42x^2+19x-2$

• $42x^2+14x-2$

Which of the following is equivalent to

 $(k^2+7k-2)(-3k+3)$  

•  $-3k^3-18k^2+27k-6$  

•  $3k^3+18k^2-27k+6$  

•  $-3k^3-24k^2+15k-6$  

•  $3k^3+24k^2-15k+6$  

A quadratic function has its vertex at (3, 8) and passes through the point (6, 5) as shown. Which of the following represents the quadratic equation in vertex form?

• $f(x)=-\frac{1}{3}(x-3)^2+8$

• $f(x)=-\frac{1}{3}(x+3)^2+8$

• $f(x)=-(x-3)^2+8$

• $f(x)=-(x+3)^2+8$

A quadratic has a vertex at (-3, 1) and goes through the point (−7,−7). Write an equation in vertex form to represent this situation.

• $y=-\frac{1}{2}(x+3)^2+1$

• $y=-\frac{1}{2}(x+3)^2-1$

• $y=\frac{1}{2}(x+3)^2+1$

• $y=\frac{1}{2}(x+3)^2-1$

The graph shows the height in feet of an object launched into the air for x seconds. Which function is best represented by the graph of this situation?

• $y=-16x^2+64x+16$

• $y=-16x^2+32x$

• $y=-16x^2-64x-16$

• $y=-16x^2+32x+2$