Question 1

Identify the radicand.
-$8 a b \sqrt { b ^ { 2 } - 6 }$

Accepted Answer

A)  $8 \mathrm { ab }$ 
B)  $\sqrt { b ^ { 2 } - 6 }$ 
C)  $b ^ { 2 }$ 
D)  $b ^ { 2 } - 6$ 
A)  $8 \mathrm { ab }$ 
B)  $\sqrt { b ^ { 2 } - 6 }$ 
C)  $b ^ { 2 }$ 
D)  $b ^ { 2 } - 6$ D

Question 2

Simplify.
-$- \sqrt { 0.25 }$

Accepted Answer

A)  does not exist as a real number 
B)  $0.05$ 
C)  $- 0.05$ 
D)  $- 0.5$ 
A)  does not exist as a real number 
B)  $0.05$ 
C)  $- 0.05$ 
D)  $- 0.5$ D

Question 3

Identify the radicand.
-$$\sqrt { x + 9 }$$

Accepted Answer

A)  $\sqrt { x + 9 }$ 
B)  $x + 9$ 
C)  $x$ 
D)  $\sqrt { }$ 
A)  $\sqrt { x + 9 }$ 
B)  $x + 9$ 
C)  $x$ 
D)  $\sqrt { }$ B

Question 4

Simplify.
-$- \sqrt { 256 }$

Accepted Answer

A)  $- 16$ 
B)  does not exist as a real number 
C)  16 
D)  $- 128$ 
A)  $- 16$ 
B)  does not exist as a real number 
C)  16 
D)  $- 128$

Question 5

Simplify.
-$\sqrt { 0.09 }$

Accepted Answer

A)  $0.003$ 
B)  $0.3$ 
C)  $0.03$ 
D)  3 
A)  $0.003$ 
B)  $0.3$ 
C)  $0.03$ 
D)  3

Question 6

Identify the radicand.
-$9 x \sqrt { y - 4 }$

Accepted Answer

A)  $y$ 
B)  $\sqrt { y - 4 }$ 
C)  $y - 4$ 
D)  $9 x$ 
A)  $y$ 
B)  $\sqrt { y - 4 }$ 
C)  $y - 4$ 
D)  $9 x$

Question 7

Find the domain of f.
-$$f ( x ) = \sqrt { 9 x + 4 }$$

Accepted Answer

A)  $\left\{ x \mid x \leq - \frac { 4 } { 9 } \right\}$ 
B)  $\left\{ x \mid x \geq \frac { 4 } { 9 } \right\}$ 
C)  $\left\{ x \mid x > - \frac { 4 } { 9 } \right\}$ 
D)  $\left\{ x \mid x \geq - \frac { 4 } { 9 } \right\}$ 
A)  $\left\{ x \mid x \leq - \frac { 4 } { 9 } \right\}$ 
B)  $\left\{ x \mid x \geq \frac { 4 } { 9 } \right\}$ 
C)  $\left\{ x \mid x > - \frac { 4 } { 9 } \right\}$ 
D)  $\left\{ x \mid x \geq - \frac { 4 } { 9 } \right\}$

Question 8

Use a calculator to approximate to three decimal places.
-$- \sqrt { 926 }$

Accepted Answer

A)  $- 30.430$ 
B)  $- 30.417$ 
C)  $30.445$ 
D)  30 
A)  $- 30.430$ 
B)  $- 30.417$ 
C)  $30.445$ 
D)  30

Question 9

Answer the question.
-The cost of manufacturing clocks is given by $\mathrm { c } = 49 \sqrt { \mathrm { n } + 16 }$, where $\mathrm { c }$ is the total cost and $\mathrm { n }$ is the number produced. What is c when no clocks are produced?

Accepted Answer

A)  $\$ 784$ 
B)  $\$ 196$ 
C)  $\$ 49$ 
D)  $\$ 28$ 
A)  $\$ 784$ 
B)  $\$ 196$ 
C)  $\$ 49$ 
D)  $\$ 28$

Question 10

Graph.
-$g ( x ) = - 2 \sqrt { x }$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 11

Graph.
-$g ( x ) = 3 + \sqrt { x - 1 }$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 12

Identify the radicand.
-$x y ^ { 2 } \sqrt { \frac { 4 } { x + 6 } }$

Accepted Answer

A)  $x y ^ { 2 }$ 
B)  $\frac { 4 } { x + 6 }$ 
C)  $\sqrt { \frac { 4 } { x + 6 } }$ 
D)  $x + 6$ 
A)  $x y ^ { 2 }$ 
B)  $\frac { 4 } { x + 6 }$ 
C)  $\sqrt { \frac { 4 } { x + 6 } }$ 
D)  $x + 6$

Question 13

Graph.
-$g(x)=\sqrt{3 x+3}$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 14

Identify the radicand.
-$$2 x ^ { 2 } y ^ { 2 } \sqrt { \frac { 5 } { 6 x - y } }$$

Accepted Answer

A)  $2 x ^ { 2 } y ^ { 2 }$ 
B)  $\sqrt { \frac { 5 } { 6 x - y } }$ 
C)  $6 x - y$ 
D)  $\frac { 5 } { 6 x - y }$ 
A)  $2 x ^ { 2 } y ^ { 2 }$ 
B)  $\sqrt { \frac { 5 } { 6 x - y } }$ 
C)  $6 x - y$ 
D)  $\frac { 5 } { 6 x - y }$

Question 15

Use a calculator to approximate to three decimal places.
-$\sqrt { \frac { 326 } { 67 } }$

Accepted Answer

A)  $1209.716$ 
B)  $2.206$ 
C)  $4.866$ 
D)  $0.206$ 
A)  $1209.716$ 
B)  $2.206$ 
C)  $4.866$ 
D)  $0.206$

Question 16

Simplify.
-$\sqrt { - 144 }$

Accepted Answer

A)  13 
B)  72 
C)  12 
D)  does not exist as a real number 
A)  13 
B)  72 
C)  12 
D)  does not exist as a real number

Question 17

Graph.
-$g ( x ) = 4 + \sqrt { x }$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 18

For the given function, find the indicated function value.
-For $f ( x ) = \sqrt { 4 x - 14 }$, find $f ( - 6 )$

Accepted Answer

A)  Does not exist as a real number 
B)  $\sqrt { 15 }$ 
C)  $3 \sqrt { 13 }$ 
D)  $2 \sqrt { 7 }$ 
A)  Does not exist as a real number 
B)  $\sqrt { 15 }$ 
C)  $3 \sqrt { 13 }$ 
D)  $2 \sqrt { 7 }$

Question 19

Simplify.
-$$\sqrt { \frac { 400 } { 289 } }$$

Accepted Answer

A)  $\frac { 10 } { 9 }$ 
B)  $\frac { 25 } { 18 }$ 
C)  $\frac { 21 } { 17 }$ 
D)  $\frac { 20 } { 17 }$ 
A)  $\frac { 10 } { 9 }$ 
B)  $\frac { 25 } { 18 }$ 
C)  $\frac { 21 } { 17 }$ 
D)  $\frac { 20 } { 17 }$

Question 20

Answer the question.
-A retailer finds that total costs per day are given by $c = 16 \sqrt { n } + 169$, where $c$ is cost and $n$ is units sold. What is $c$ when no units are sold?

Accepted Answer

A)  $\$ 169$ 
B)  $\$ 52$ 
C)  $\$ 208$ 
D)  $\$ 185$ 
A)  $\$ 169$ 
B)  $\$ 52$ 
C)  $\$ 208$ 
D)  $\$ 185$

Identify the radicand. - $8 a b \sqrt { b ^ { 2 } - 6 }$

Simplify. - $- \sqrt { 0.25 }$

Identify the radicand. - $\sqrt { x + 9 }$

Simplify. - $- \sqrt { 256 }$

Simplify. - $\sqrt { 0.09 }$

Identify the radicand. - $9 x \sqrt { y - 4 }$

Find the domain of f. - $f ( x ) = \sqrt { 9 x + 4 }$

Use a calculator to approximate to three decimal places. - $- \sqrt { 926 }$

Answer the question. -The cost of manufacturing clocks is given by $\mathrm { c } = 49 \sqrt { \mathrm { n } + 16 }$ , where $\mathrm { c }$ is the total cost and $\mathrm { n }$ is the number produced. What is c when no clocks are produced?

Graph. - $g ( x ) = - 2 \sqrt { x }$ $Graph. - g ( x ) = - 2 \sqrt { x }$

Graph. - $g ( x ) = 3 + \sqrt { x - 1 }$ $Graph. - g ( x ) = 3 + \sqrt { x - 1 }$

Identify the radicand. - $x y ^ { 2 } \sqrt { \frac { 4 } { x + 6 } }$

Graph. - $g(x)=\sqrt{3 x+3}$ $Graph. - g(x)=\sqrt{3 x+3}$

Identify the radicand. - $2 x ^ { 2 } y ^ { 2 } \sqrt { \frac { 5 } { 6 x - y } }$

Use a calculator to approximate to three decimal places. - $\sqrt { \frac { 326 } { 67 } }$

Simplify. - $\sqrt { - 144 }$

Graph. - $g ( x ) = 4 + \sqrt { x }$ $Graph. - g ( x ) = 4 + \sqrt { x }$

For the given function, find the indicated function value. -For $f ( x ) = \sqrt { 4 x - 14 }$ , find $f ( - 6 )$

Simplify. - $\sqrt { \frac { 400 } { 289 } }$

Answer the question. -A retailer finds that total costs per day are given by $c = 16 \sqrt { n } + 169$ , where $c$ is cost and $n$ is units sold. What is $c$ when no units are sold?

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Finding Measures of Central Tendency for Prices and Heights

Filters

Exam 10: Radical Expressions, Equations, and Functions

Identify the radicand. - 8abb2−68 a b \sqrt { b ^ { 2 } - 6 }8abb2−6​

Simplify. - −0.25- \sqrt { 0.25 }−0.25​

Identify the radicand. - x+9\sqrt { x + 9 }x+9​

Simplify. - −256- \sqrt { 256 }−256​

Simplify. - 0.09\sqrt { 0.09 }0.09​

Identify the radicand. - 9xy−49 x \sqrt { y - 4 }9xy−4​

Find the domain of f. - f(x)=9x+4f ( x ) = \sqrt { 9 x + 4 }f(x)=9x+4​

Use a calculator to approximate to three decimal places. - −926- \sqrt { 926 }−926​

Answer the question. -The cost of manufacturing clocks is given by c=49n+16\mathrm { c } = 49 \sqrt { \mathrm { n } + 16 }c=49n+16​ , where c\mathrm { c }c is the total cost and n\mathrm { n }n is the number produced. What is c when no clocks are produced?

Graph. - g(x)=−2xg ( x ) = - 2 \sqrt { x }g(x)=−2x​

Graph. - g(x)=3+x−1g ( x ) = 3 + \sqrt { x - 1 }g(x)=3+x−1​

Identify the radicand. - xy24x+6x y ^ { 2 } \sqrt { \frac { 4 } { x + 6 } }xy2x+64​​

Graph. - g(x)=3x+3g(x)=\sqrt{3 x+3}g(x)=3x+3​

Identify the radicand. - 2x2y256x−y2 x ^ { 2 } y ^ { 2 } \sqrt { \frac { 5 } { 6 x - y } }2x2y26x−y5​​

Use a calculator to approximate to three decimal places. - 32667\sqrt { \frac { 326 } { 67 } }67326​​

Simplify. - −144\sqrt { - 144 }−144​

Graph. - g(x)=4+xg ( x ) = 4 + \sqrt { x }g(x)=4+x​

For the given function, find the indicated function value. -For f(x)=4x−14f ( x ) = \sqrt { 4 x - 14 }f(x)=4x−14​ , find f(−6)f ( - 6 )f(−6)

Simplify. - 400289\sqrt { \frac { 400 } { 289 } }289400​​

Answer the question. -A retailer finds that total costs per day are given by c=16n+169c = 16 \sqrt { n } + 169c=16n​+169 , where ccc is cost and nnn is units sold. What is ccc when no units are sold?

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Finding Measures of Central Tendency for Prices and Heights

Filters

Identify the radicand. - $8 a b \sqrt { b ^ { 2 } - 6 }$

Simplify. - $- \sqrt { 0.25 }$

Identify the radicand. - $\sqrt { x + 9 }$

Simplify. - $- \sqrt { 256 }$

Simplify. - $\sqrt { 0.09 }$

Identify the radicand. - $9 x \sqrt { y - 4 }$

Find the domain of f. - $f ( x ) = \sqrt { 9 x + 4 }$

Use a calculator to approximate to three decimal places. - $- \sqrt { 926 }$

Answer the question. -The cost of manufacturing clocks is given by $\mathrm { c } = 49 \sqrt { \mathrm { n } + 16 }$ , where $\mathrm { c }$ is the total cost and $\mathrm { n }$ is the number produced. What is c when no clocks are produced?

Graph. - $g ( x ) = - 2 \sqrt { x }$ $Graph. - g ( x ) = - 2 \sqrt { x }$

Graph. - $g ( x ) = 3 + \sqrt { x - 1 }$ $Graph. - g ( x ) = 3 + \sqrt { x - 1 }$

Identify the radicand. - $x y ^ { 2 } \sqrt { \frac { 4 } { x + 6 } }$

Graph. - $g(x)=\sqrt{3 x+3}$ $Graph. - g(x)=\sqrt{3 x+3}$

Identify the radicand. - $2 x ^ { 2 } y ^ { 2 } \sqrt { \frac { 5 } { 6 x - y } }$

Use a calculator to approximate to three decimal places. - $\sqrt { \frac { 326 } { 67 } }$

Simplify. - $\sqrt { - 144 }$

Graph. - $g ( x ) = 4 + \sqrt { x }$ $Graph. - g ( x ) = 4 + \sqrt { x }$

For the given function, find the indicated function value. -For $f ( x ) = \sqrt { 4 x - 14 }$ , find $f ( - 6 )$

Simplify. - $\sqrt { \frac { 400 } { 289 } }$

Answer the question. -A retailer finds that total costs per day are given by $c = 16 \sqrt { n } + 169$ , where $c$ is cost and $n$ is units sold. What is $c$ when no units are sold?