Question 1

Simplify. If an expression does not represent a real number, state this.
-$-\sqrt[3]{512}$

Accepted Answer

A)  -8 
B)  not a real number 
C)  64 
D)  8 
A)  -8 
B)  not a real number 
C)  64 
D)  8

Question 2

Name the set using the roster method.
-The set of multiples of 3 between 10 and 16

Accepted Answer

A)  $\{11,13,14\}$ 
B)  $\varnothing$ 
C)  $\{12,15\}$ 
D)  $\{10,12,15,16\}$ 
A)  $\{11,13,14\}$ 
B)  $\varnothing$ 
C)  $\{12,15\}$ 
D)  $\{10,12,15,16\}$

Question 3

Factor.
-$125-8 y^{3}$

Accepted Answer

A)  $(5+2 y)\left(25-10 y+4 y^{2}\right)$ 
B)  $(125-2 y)\left(1+10 y+4 y^{2}\right)$ 
C)  $(5-2 y)\left(25+10 y+4 y^{2}\right)$ 
D)  $(5-2 y)\left(25+4 y^{2}\right)$ 
A)  $(5+2 y)\left(25-10 y+4 y^{2}\right)$ 
B)  $(125-2 y)\left(1+10 y+4 y^{2}\right)$ 
C)  $(5-2 y)\left(25+10 y+4 y^{2}\right)$ 
D)  $(5-2 y)\left(25+4 y^{2}\right)$

Question 4

Find the union.
-$\{b, c, d, e, f\} \cup\{g, h, i, j, k\}$

Accepted Answer

A)  $\{, g\}$ 
B)  $\{b, c, d, e, f, g, h, i, j, k\}$ 
C)  $\{b, c, d, e, f\}$ 
D)  $\varnothing$ 
A)  $\{, g\}$ 
B)  $\{b, c, d, e, f, g, h, i, j, k\}$ 
C)  $\{b, c, d, e, f\}$ 
D)  $\varnothing$

Question 5

Name the set using the roster method.
-$\{x \mid x$ is the cube of 2$\}$

Accepted Answer

A)  $\{6\}$ 
B)  $\{6,6\}$ 
C)  $\{8,8\}$ 
D)  $\{8\}$ 
A)  $\{6\}$ 
B)  $\{6,6\}$ 
C)  $\{8,8\}$ 
D)  $\{8\}$

Question 6

Write interval notation for the given set or graph.
-

Accepted Answer

A)  $(-4,0)$ 
B)  $[-4,0)$ 
C)  $(-4,0]$ 
D)  $[-4,0]$ 
A)  $(-4,0)$ 
B)  $[-4,0)$ 
C)  $(-4,0]$ 
D)  $[-4,0]$

Question 7

Factor.
-$216 s^{3}+1$

Accepted Answer

A)  $(6 s-1)\left(36 s^{2}+6 s+1\right)$ 
B)  $(6 s+1)\left(36 s^{2}+1\right)$ 
C)  $(216 s+1)\left(s^{2}-6 s+1\right)$ 
D)  $(6 s+1)\left(36 s^{2}-6 s+1\right)$ 
A)  $(6 s-1)\left(36 s^{2}+6 s+1\right)$ 
B)  $(6 s+1)\left(36 s^{2}+1\right)$ 
C)  $(216 s+1)\left(s^{2}-6 s+1\right)$ 
D)  $(6 s+1)\left(36 s^{2}-6 s+1\right)$

Question 8

Factor.
-$162 x^{3}+750$

Accepted Answer

A)  $6(3 x-5)\left(9 x^{2}+15 x+25\right)$ 
B)  $6\left(27 x^{3}+125\right)$ 
C)  $6(3 x+5)\left(9 x^{2}+25\right)$ 
D)  $6(3 x+5)\left(9 x^{2}-15 x+25\right)$ 
A)  $6(3 x-5)\left(9 x^{2}+15 x+25\right)$ 
B)  $6\left(27 x^{3}+125\right)$ 
C)  $6(3 x+5)\left(9 x^{2}+25\right)$ 
D)  $6(3 x+5)\left(9 x^{2}-15 x+25\right)$

Question 9

Find the median.
-39, 12, 224, 116, 250, 247, 247

Accepted Answer

A)  116 
B)  224 
C)  162 
D)  247 
A)  116 
B)  224 
C)  162 
D)  247

Question 10

Solve the problem.
-Some players are thinking about quitting the company softball team. Their batting averages are $0.236,0.300,0.226,0.310,0.228,0.338$, and 0.258 , respectively. What is the mean batting average of these players? Round your answer to the nearest thousandth.

Accepted Answer

A)  0.316 
B)  0.246 
C)  0.284 
D)  0.271 
A)  0.316 
B)  0.246 
C)  0.284 
D)  0.271

Question 11

Classify the statement as true or false.
-Algebra $\in$ The set of all mathematics topics

Accepted Answer

A) True 
 B)False

Question 12

Simplify
-$\sqrt[4]{1536}$

Accepted Answer

A)  39 
B)  $4 \sqrt[4]{6}$ 
C)  $6 \sqrt[4]{4}$ 
D)  6 
A)  39 
B)  $4 \sqrt[4]{6}$ 
C)  $6 \sqrt[4]{4}$ 
D)  6

Question 13

Factor.
-$5 r^{3}-40$

Accepted Answer

A)  $5(r-10)\left(r^{2}+10 r+20\right)$ 
B)  $5(r-2)\left(r^{2}+2 r+4\right)$ 
C)  $5(r+2)\left(r^{2}-2 r+4\right)$ 
D)  $5(r-2)\left(r^{2}-2 r+4\right)$ 
A)  $5(r-10)\left(r^{2}+10 r+20\right)$ 
B)  $5(r-2)\left(r^{2}+2 r+4\right)$ 
C)  $5(r+2)\left(r^{2}-2 r+4\right)$ 
D)  $5(r-2)\left(r^{2}-2 r+4\right)$

Simplify. If an expression does not represent a real number, state this. - $-\sqrt[3]{512}$

Name the set using the roster method. -The set of multiples of 3 between 10 and 16

Factor. - $125-8 y^{3}$

Find the union. - $\{b, c, d, e, f\} \cup\{g, h, i, j, k\}$

Name the set using the roster method. - $\{x \mid x$ is the cube of 2 $\}$

Write interval notation for the given set or graph. -

Factor. - $216 s^{3}+1$

Factor. - $162 x^{3}+750$

Find the median. -39, 12, 224, 116, 250, 247, 247

Solve the problem. -Some players are thinking about quitting the company softball team. Their batting averages are $0.236,0.300,0.226,0.310,0.228,0.338$ , and 0.258 , respectively. What is the mean batting average of these players? Round your answer to the nearest thousandth.

Classify the statement as true or false. -Algebra $\in$ The set of all mathematics topics

Simplify - $\sqrt[4]{1536}$

Factor. - $5 r^{3}-40$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Filters

Exam 10: Equations of Lines and Simplifying Radical Expressions

Simplify. If an expression does not represent a real number, state this. - −5123-\sqrt[3]{512}−3512​