Algebra 2 Semester Review

Evaluate the expression using desmos.  

Round your answer to two decimal places.
 $\sqrt[3]{1000}$  

• 31.62

• 0.1

• 10

• 333.33

Tags

CCSS.8.EE.A.2

Simplify the expression.
 $\sqrt[6]{\frac{x^{12}}{t^6}}$ 

•  $\frac{x^2}{\left|t\right|}$  

•  $\frac{x^6}{t}$  

•  $\frac{x^2}{t}$  

•  $\frac{x^6}{t}$  

Write a rule for $g\left(x\right)$ described by the transformations of the graph of $f\left(x\right)$ .

Let $g\left(x\right)$ be a reflection in the x -axis followed by a translation 4 units down of the graph of $f\left(x\right)=2\sqrt[3]{x-1}$ 

•  $g\left(x\right)=2\sqrt[3]{-x-1}-4$  

•  $g\left(x\right)=-2\sqrt[3]{x-1}-4$  

•  $g\left(x\right)=-2\sqrt[3]{-x+1}-4$  

•  $g\left(x\right)=2\sqrt[3]{-x+1}-4$  

Tags

CCSS.HSF.BF.B.3

Solve the equation.  Check your solution(s).

 $\sqrt{6x-8}=8$  

•  $\frac{128}{3}$  

•  $12$  

•  $-12$  

•  $\frac{8}{3}$  

Tags

CCSS.HSA.REI.A.2

Rewrite the equation in logarithmic form.

 $5^3=125$  

•  $\log_53=125$  

•  $\log_35=125$  

•  $\log_5125=3$  

•  $\log_3125=5$  

Tags

CCSS.HSF.BF.B.5

Expand the logarithmic expression.
 $\log_4\left(\frac{x^2}{9y}\right)$ 

•  $2\log_4x-\log_49+\log_4y$  

•  $2\log_4x+\log_49+\log_4y$  

•  $2\log_4x-9\log_4y$  

•  $2\log_4x-\log_49-\log_4y$  

Condense the logarithmic expression:
 $3\log x-5\log2$  

•  $\log\left(\frac{x^3}{32}\right)$  

•  $\log\left(\frac{3x}{10}\right)$  

•  $\log\left(x^3-32\right)$  

•  $\log\left(3x-10\right)$  

Find the product:
 $\frac{x^2-10x}{x^2-8x-20}\cdot\frac{x^2-7x-18}{2x^2}$  

•  $\frac{2\left(x-2\right)}{x^2}$  

•  $\frac{2\left(x+2\right)}{x}$  

•  $\frac{\left(x-9\right)}{2x}$  

•  $\frac{\left(x+9\right)}{2x}$  

Tags

CCSS.HSA.APR.D.7

Find the difference:

 $\frac{x+7}{2x+8}-\frac{-2x+14}{x^2-3x-28}$  

•  $\frac{x-7}{2\left(x+4\right)}$  

•  $\frac{x+11}{2\left(x+4\right)}$  

•  $\frac{x+2}{2\left(x+4\right)}$  

•  $\frac{x+3}{2\left(x+4\right)}$  

Tags

CCSS.HSA.APR.D.7

State the degree and leading coefficient of the polynomial:

 $p\left(x\right)=-4x^3-10x^2+2$  

• Degree 1, Leading coefficient 2

• Degree 3, Leading coefficient -4

• Degree 3, Leading coefficient 2

• Degree 2, Leading coefficient -10