Question 1

Graph.
-$g ( x ) = \sqrt { 4 - 8 x }$

Accepted Answer

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

Question 2

For the given function, find the indicated function value.
-For $g ( x ) = \sqrt { ( x - 1 ) ^ { 2 } }$, find $g ( 3 )$.

Accepted Answer

A)  4 
B)  3 
C)  2 
D)  1 
A)  4 
B)  3 
C)  2 
D)  1

Question 3

Find the square roots.
-2500

Accepted Answer

A)  $51 , - 51$ 
B)  $52 , - 52$ 
C)  $50 , - 50$ 
D)  $100 , - 100$ 
A)  $51 , - 51$ 
B)  $52 , - 52$ 
C)  $50 , - 50$ 
D)  $100 , - 100$

Question 4

Find the domain of f.
-$$f ( x ) = \sqrt { x + 19 }$$

Accepted Answer

A)  $\{ x \mid x < - 19 \}$ 
B)  $\{ x \mid x \geq - 19 \}$ 
C)  $\{ x \mid x < 19 \}$ 
D)  $\{ x \mid x \geq 19 \}$ 
A)  $\{ x \mid x < - 19 \}$ 
B)  $\{ x \mid x \geq - 19 \}$ 
C)  $\{ x \mid x < 19 \}$ 
D)  $\{ x \mid x \geq 19 \}$

Question 5

Use a calculator to approximate to three decimal places.
-$\sqrt { 197 }$

Accepted Answer

A)  $14.023$ 
B)  $14.051$ 
C)  14 
D)  $14.036$ 
A)  $14.023$ 
B)  $14.051$ 
C)  14 
D)  $14.036$

Question 6

Identify the radicand.
-$\sqrt { \mathrm { y } - 5 }$

Accepted Answer

A)  $\sqrt { }$ 
B)  $y - 5$ 
C)  $\sqrt { y - 5 }$ 
D)  $y + 5$ 
A)  $\sqrt { }$ 
B)  $y - 5$ 
C)  $\sqrt { y - 5 }$ 
D)  $y + 5$

Question 7

Find the square roots.
-324

Accepted Answer

A)  $19 , - 19$ 
B)  $36 , - 36$ 
C)  $20 , - 20$ 
D)  $18 , - 18$ 
A)  $19 , - 19$ 
B)  $36 , - 36$ 
C)  $20 , - 20$ 
D)  $18 , - 18$

Question 8

Identify the radicand.
-$2 \sqrt { \mathrm { x } ^ { 2 } + 5 }$

Accepted Answer

A)  $\sqrt { x ^ { 2 } + 5 }$ 
B)  $x ^ { 2 } + 5$ 
C)  $2 \sqrt { x ^ { 2 } + 5 }$ 
D)  2 
A)  $\sqrt { x ^ { 2 } + 5 }$ 
B)  $x ^ { 2 } + 5$ 
C)  $2 \sqrt { x ^ { 2 } + 5 }$ 
D)  2

Question 9

Use a calculator to approximate to three decimal places.
-$$\sqrt { \frac { 449.7 } { 89.7 } }$$

Accepted Answer

A)  $1902.190$ 
B)  $5.013$ 
C)  $0.239$ 
D)  $2.239$ 
A)  $1902.190$ 
B)  $5.013$ 
C)  $0.239$ 
D)  $2.239$

Question 10

Use a calculator to approximate to three decimal places.
-$\sqrt { 0.00109 }$

Accepted Answer

A)  $3.300$ 
B)  $0.033$ 
C)  $0.003$ 
D)  $0.33$ 
A)  $3.300$ 
B)  $0.033$ 
C)  $0.003$ 
D)  $0.33$

Question 11

Graph.
-$f(x)=-\sqrt{8-x}$

Accepted Answer

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

Question 12

Use a calculator to approximate to three decimal places.
-$\sqrt { 0.000227 }$

Accepted Answer

A)  $0.015$ 
B)  $0.15$ 
C)  $0.002$ 
D)  $1.500$ 
A)  $0.015$ 
B)  $0.15$ 
C)  $0.002$ 
D)  $1.500$

Question 13

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

Accepted Answer

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

Question 14

Identify the radicand.
-$s ^ { 2 } t \sqrt { \frac { s } { s - 8 t } }$

Accepted Answer

A)  $\sqrt { \frac { s } { s - 8 t } }$ 
B)  $\left( s ^ { 2 } t \right) \frac { s } { s - 8 t }$ 
C)  $\frac { s } { s - 8 t }$ 
D)  $\mathrm { s } ^ { 2 } \mathrm { t }$ 
A)  $\sqrt { \frac { s } { s - 8 t } }$ 
B)  $\left( s ^ { 2 } t \right) \frac { s } { s - 8 t }$ 
C)  $\frac { s } { s - 8 t }$ 
D)  $\mathrm { s } ^ { 2 } \mathrm { t }$

Question 15

Simplify.
-$$- \sqrt { \frac { 361 } { 81 } }$$

Accepted Answer

A)  $- \frac { 180 } { 40 }$ 
B)  $\frac { 19 } { 9 }$ 
C)  does not exist as a real number 
D)  $- \frac { 19 } { 9 }$ 
A)  $- \frac { 180 } { 40 }$ 
B)  $\frac { 19 } { 9 }$ 
C)  does not exist as a real number 
D)  $- \frac { 19 } { 9 }$

Question 16

For the given function, find the indicated function value.
-For $g ( x ) = \sqrt { x ^ { 2 } - 20 }$, find $g ( 3 )$.

Accepted Answer

A)  $3 \sqrt { 5 }$ 
B)  $2 \sqrt { 3 }$ 
C)  $\sqrt { 7 }$ 
D)  Does not exist as a real number 
A)  $3 \sqrt { 5 }$ 
B)  $2 \sqrt { 3 }$ 
C)  $\sqrt { 7 }$ 
D)  Does not exist as a real number

Question 17

For the given function, find the indicated function value.
-For $g ( x ) = - \sqrt { ( x + 1 ) ^ { 2 } }$, find $g ( - 10 )$

Accepted Answer

A)  10 
B)  $- 9$ 
C)  $- 10$ 
D)  9 
A)  10 
B)  $- 9$ 
C)  $- 10$ 
D)  9

Question 18

Find the domain of f.
-$$f ( x ) = \sqrt { x - 17 }$$

Accepted Answer

A)  $\{ x \mid x \geq 0 \}$ 
B)  $\{ x \mid x \geq 17 \}$ 
C)  All real numbers 
D)  $\{ x \mid x \geq - 17 \}$ 
A)  $\{ x \mid x \geq 0 \}$ 
B)  $\{ x \mid x \geq 17 \}$ 
C)  All real numbers 
D)  $\{ x \mid x \geq - 17 \}$

Question 19

Answer the question.
-Police use a formula $s = S \sqrt { \frac { l } { L } }$, where $S$ is the test-car speed and $L$ is the test-skid length, to find the actual speed $s$ in an accident which left a skid mark of l. Find the speed (nearest whole mph) when $S = 54 \mathrm { mph }$, $l = 150 \mathrm { ft } , \mathrm { L } = 100 \mathrm { ft }$.

Accepted Answer

A)  $66 \mathrm { mph }$ 
B)  $44 \mathrm { mph }$ 
C)  $81 \mathrm { mph }$ 
D)  $104 \mathrm { mph }$ 
A)  $66 \mathrm { mph }$ 
B)  $44 \mathrm { mph }$ 
C)  $81 \mathrm { mph }$ 
D)  $104 \mathrm { mph }$

Question 20

Find the domain of f.
-$$f ( x ) = \sqrt { 11 - 4 x }$$

Accepted Answer

A)  $\left\{ x \mid x \leq \frac { 11 } { 4 } \right\}$ 
B)  $\left\{ x \mid x \geq - \frac { 11 } { 4 } \right\}$ 
C)  $\left\{ x \mid x \geq \frac { 11 } { 4 } \right\}$ 
D)  $\left\{ x \mid x < \frac { 11 } { 4 } \right\}$ 
A)  $\left\{ x \mid x \leq \frac { 11 } { 4 } \right\}$ 
B)  $\left\{ x \mid x \geq - \frac { 11 } { 4 } \right\}$ 
C)  $\left\{ x \mid x \geq \frac { 11 } { 4 } \right\}$ 
D)  $\left\{ x \mid x < \frac { 11 } { 4 } \right\}$

Graph. - $g ( x ) = \sqrt { 4 - 8 x }$ $Graph. - g ( x ) = \sqrt { 4 - 8 x }$

For the given function, find the indicated function value. -For $g ( x ) = \sqrt { ( x - 1 ) ^ { 2 } }$ , find $g ( 3 )$ .

Find the square roots. -2500

Find the domain of f. - $f ( x ) = \sqrt { x + 19 }$

Use a calculator to approximate to three decimal places. - $\sqrt { 197 }$

Identify the radicand. - $\sqrt { \mathrm { y } - 5 }$

Find the square roots. -324

Identify the radicand. - $2 \sqrt { \mathrm { x } ^ { 2 } + 5 }$

Use a calculator to approximate to three decimal places. - $\sqrt { \frac { 449.7 } { 89.7 } }$

Use a calculator to approximate to three decimal places. - $\sqrt { 0.00109 }$

Graph. - $f(x)=-\sqrt{8-x}$ $Graph. - f(x)=-\sqrt{8-x}$

Use a calculator to approximate to three decimal places. - $\sqrt { 0.000227 }$

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

Identify the radicand. - $s ^ { 2 } t \sqrt { \frac { s } { s - 8 t } }$

Simplify. - $- \sqrt { \frac { 361 } { 81 } }$

For the given function, find the indicated function value. -For $g ( x ) = \sqrt { x ^ { 2 } - 20 }$ , find $g ( 3 )$ .

For the given function, find the indicated function value. -For $g ( x ) = - \sqrt { ( x + 1 ) ^ { 2 } }$ , find $g ( - 10 )$

Find the domain of f. - $f ( x ) = \sqrt { x - 17 }$

Find the domain of f. - $f ( x ) = \sqrt { 11 - 4 x }$

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

Graph. - g(x)=4−8xg ( x ) = \sqrt { 4 - 8 x }g(x)=4−8x​

For the given function, find the indicated function value. -For g(x)=(x−1)2g ( x ) = \sqrt { ( x - 1 ) ^ { 2 } }g(x)=(x−1)2​ , find g(3)g ( 3 )g(3) .

Find the square roots. -2500

Find the domain of f. - f(x)=x+19f ( x ) = \sqrt { x + 19 }f(x)=x+19​

Use a calculator to approximate to three decimal places. - 197\sqrt { 197 }197​

Identify the radicand. - y−5\sqrt { \mathrm { y } - 5 }y−5​

Find the square roots. -324

Identify the radicand. - 2x2+52 \sqrt { \mathrm { x } ^ { 2 } + 5 }2x2+5​

Use a calculator to approximate to three decimal places. - 449.789.7\sqrt { \frac { 449.7 } { 89.7 } }89.7449.7​​

Use a calculator to approximate to three decimal places. - 0.00109\sqrt { 0.00109 }0.00109​

Graph. - f(x)=−8−xf(x)=-\sqrt{8-x}f(x)=−8−x​

Use a calculator to approximate to three decimal places. - 0.000227\sqrt { 0.000227 }0.000227​

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

Identify the radicand. - s2tss−8ts ^ { 2 } t \sqrt { \frac { s } { s - 8 t } }s2ts−8ts​​

Simplify. - −36181- \sqrt { \frac { 361 } { 81 } }−81361​​

For the given function, find the indicated function value. -For g(x)=x2−20g ( x ) = \sqrt { x ^ { 2 } - 20 }g(x)=x2−20​ , find g(3)g ( 3 )g(3) .

For the given function, find the indicated function value. -For g(x)=−(x+1)2g ( x ) = - \sqrt { ( x + 1 ) ^ { 2 } }g(x)=−(x+1)2​ , find g(−10)g ( - 10 )g(−10)

Find the domain of f. - f(x)=x−17f ( x ) = \sqrt { x - 17 }f(x)=x−17​

Find the domain of f. - f(x)=11−4xf ( x ) = \sqrt { 11 - 4 x }f(x)=11−4x​

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

Graph. - $g ( x ) = \sqrt { 4 - 8 x }$ $Graph. - g ( x ) = \sqrt { 4 - 8 x }$

For the given function, find the indicated function value. -For $g ( x ) = \sqrt { ( x - 1 ) ^ { 2 } }$ , find $g ( 3 )$ .

Find the domain of f. - $f ( x ) = \sqrt { x + 19 }$

Use a calculator to approximate to three decimal places. - $\sqrt { 197 }$

Identify the radicand. - $\sqrt { \mathrm { y } - 5 }$

Identify the radicand. - $2 \sqrt { \mathrm { x } ^ { 2 } + 5 }$

Use a calculator to approximate to three decimal places. - $\sqrt { \frac { 449.7 } { 89.7 } }$

Use a calculator to approximate to three decimal places. - $\sqrt { 0.00109 }$

Graph. - $f(x)=-\sqrt{8-x}$ $Graph. - f(x)=-\sqrt{8-x}$

Use a calculator to approximate to three decimal places. - $\sqrt { 0.000227 }$

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

Identify the radicand. - $s ^ { 2 } t \sqrt { \frac { s } { s - 8 t } }$

Simplify. - $- \sqrt { \frac { 361 } { 81 } }$

For the given function, find the indicated function value. -For $g ( x ) = \sqrt { x ^ { 2 } - 20 }$ , find $g ( 3 )$ .

For the given function, find the indicated function value. -For $g ( x ) = - \sqrt { ( x + 1 ) ^ { 2 } }$ , find $g ( - 10 )$

Find the domain of f. - $f ( x ) = \sqrt { x - 17 }$

Find the domain of f. - $f ( x ) = \sqrt { 11 - 4 x }$