Algebra 2 Quarter 4 Review

Algebra 2 Quarter 4 Review

Exam Dates:

A Day June 14th

B Day June 15th

Topic 1 - Radicals and Rational Exponents

Multiple Choice

 Which of the following is equivalent to $-32^{\frac{2}{5}}$ ?

•  $\left(^5\sqrt{-32}\right)^2$  

•  $\left(-^5\sqrt{32}\right)^2$  

•  $-\left(^5\sqrt{32}\right)^2$  

•  $-\left(\sqrt{32}\right)^5$  

Multiple Choice

Which of the following represents the simplest form of $\sqrt{50}$ ? 

•  $25\sqrt{2}$  

•  $5\sqrt{2}$  

•  $2\sqrt{5}$  

•  $25$  

Multiple Choice

Simplify the following expression using only positive exponents: $x^{\frac{4}{5}}\cdot x^{\frac{2}{3}}$  

•  $x^{\frac{22}{15}}$  

•  $x^{\frac{6}{8}}$  

•  $x^{\frac{3}{4}}$  

•  $x^{\frac{8}{15}}$  

Multiple Choice

Which of the following represents the simplified form of $\sqrt{48}-\sqrt{12}$  ?

•  $2\sqrt{0}$  

•  $2\sqrt{3}$  

•  $8\sqrt{3}$  

•  $6\sqrt{3}$  

Multiple Choice

The function f(x) is graphe don the coordinate plane. If f(x) is a transformation of $g\left(x\right)=^3\sqrt{x}$ , which is the equation of f(x)? 

•  $f\left(x\right)=^3\sqrt{x-3}-2$  

•  $f\left(x\right)=-^3\sqrt{x-3}-2$  

•  $\left(x\right)=^3\sqrt{x+3}-2$  

•  $\left(x\right)=-^3\sqrt{x+3}-2$  

Multiple Choice

Find solution to the given equation: $^3\sqrt{x-10}=4$  

• 14

• 54

• 64

• 74

• No solution

Multiple Choice

Find the solution to the given equation: $\sqrt{3x+20}=\sqrt{-2x+10}$  

• -2
  

• 2

• -10

• 30

• No Solution

Topic 2 - Rational Equations and Expressions

Multiple Choice

Determine which of the following describes a transformation of the following functions: $y=\frac{1}{x+5}-2$  

• Shifted right 5

• Shifted up 5

• Shifted left 2

• Shifted down 2

Multiple Choice

Given the parent function f(x) = 1/x, write an equation g(x) that has a vertical asymptote of x=5 and a horizontal asymptote of y = -2.

• $g\left(x\right)\ =\frac{1}{x+5}-2$

• $g\left(x\right)=\frac{1}{x-5}-2$

• $g\left(x\right)=\frac{1}{x+2}+5$

• $g\left(x\right)=\frac{1}{x-2}+5$

Multiple Choice

Simplify the rational expresssion: $\frac{x^2-9}{x+3}\div x+3$  

•  $\left(x^2-9\right)$  

•  $1$  
  

•  $\frac{\left(x+3\right)}{\left(x-3\right)}$  

•  $\frac{\left(x-3\right)}{\left(x+3\right)}$  

Multiple Choice

Simplify the rational expression completely:  $\frac{x^2}{6x}-\frac{7x+2}{6x}$  

•  $\frac{x^2-7x+2}{6x}$  

•  $\frac{x^2-7x-2}{6x}$  

•  $\frac{x^2-7x-2}{6x^2}$  

•  $\frac{x^2-7x+2}{6x^2}$  

Multiple Choice

Find the value of x: $\frac{5}{x+3}=\frac{4}{x}$  

•  $x=\frac{4}{3}$  

•  $x=12$  

•  $x=3$  

•  $x=-\frac{1}{3}$