Chapter P Final Review

Simplify.  $\frac{x^2+6x+8}{x^2+12x+32}\div\frac{x^2-7x-18}{x^2+8x}$  

•  $\frac{x}{x-9}$  

•  $\frac{x\left(x+8\right)}{x-9}$  

•  $\frac{x}{\left(x+4\right)\left(x+8\right)}$  

•  $\frac{1}{x-9}$  

Tags

CCSS.HSA.APR.D.6

Simplify.  $\frac{\sqrt{54x^9}}{\sqrt{2x^3}}$  

•  $3x^3\sqrt{3}$  

•  $108x^{10}$  

•  $27x^6$  

•  $\sqrt{27x^6}$  

Simplify  $\frac{2-6i}{3-4i}$  

•  $\frac{6}{5}-\frac{2}{5}i$  

•  $-\frac{30}{7}+\frac{10}{7}i$  

•  $\frac{6-2i}{5}$  

•  $\frac{18}{25}-\frac{26}{25}i$  

Tags

CCSS.HSN.CN.A.3

Factor completely  $12x^2y^2+11xy^2-15y^2$  

•  $\left(3x+5y\right)\left(4x-3y\right)$  

•  $y^2\left(x+5\right)\left(12x-3\right)$  

•  $\left(4x+5y\right)\left(3x-3y\right)$  

•  $y^2\left(3x+5\right)\left(4x-3\right)$  

Multiply  $\left(4x-3y\right)^2$  

•  $16x^2+9y^2$  

•  $4x^2-24xy+9y^2$  

•  $16x^2-24xy+9y^2$  

•  $4x^2+9y^2$  

Tags

CCSS.HSA.APR.C.4

Simplify the expression with positive exponents.  $\frac{-4x^{11}y^{12}z^7}{2x^3y^9z^{10}}$  

•  $\frac{x^8y^3}{2z^3}$  

•  $-2x^8y^3$  

•  $x^8y^3z^3$  

•  $\frac{-2x^8y^3}{z^3}$  

Tags

CCSS.HSA.APR.A.1

Simplify with positive exponents.  $25^{-\frac{3}{2}}$  

•  $-125$  

•  $125$  

•  $\frac{1}{125}$  

•  $-\frac{1}{125}$  

Tags

CCSS.8.EE.A.1

Rationalize the denominator.  $\frac{\sqrt{2}}{\sqrt{5}+8}$  

•  $\frac{\sqrt{10}-8\sqrt{2}}{-59}$  

•  $\frac{\sqrt{10}+8\sqrt{2}}{-59}$  

•  $\frac{3\sqrt{10}-5\sqrt{2}}{40}$  

•  $\frac{\sqrt{10}-8\sqrt{2}}{13}$  

Tags

CCSS.HSN.RN.A.2

Solve for x.  $\frac{3}{x-2}+\frac{7}{x}=\frac{6}{x^2-2x}$  

•  $x=0$  

•  $x=-2$  

•  $x=0,-2$  

• No Solution

Tags

CCSS.HSA.REI.A.2

What is the equation of a line that passes through the points (-3,5) and (2,15)

• $y=2x+11$

• $y=2x-11$

• $y=\frac{1}{2}x+11$

• $y=\frac{1}{2}x-11$