Question 1

Evaluate the function.
-Find $g ( a - 1 )$ when $g ( x ) = \frac { 1 } { 5 } x - 2$

Accepted Answer

A)  $\frac { a + 11 } { 5 }$ 
B)  $\frac { 1 } { 5 } a - 5$ 
C)  $\frac { a - 11 } { 5 }$ 
D)  $\frac { 1 } { 5 } a - 2$ 
A)  $\frac { a + 11 } { 5 }$ 
B)  $\frac { 1 } { 5 } a - 5$ 
C)  $\frac { a - 11 } { 5 }$ 
D)  $\frac { 1 } { 5 } a - 2$

Question 2

Determine whether the three points are the vertices of a right triangle.
-(6, 4), (12, 6), (16, -6)

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 3

Find the slope and the y-intercept of the line.
-$$y = - 5 x + 2$$

Accepted Answer

A)  slope: $- 5 ; y$-intercept: 2 
B)  slope: $2 ;$ y-intercept: 5 
C)  slope: $5 ; \mathrm { y }$-intercept: 2 
D)  slope: $2 ; y$-intercept: $- 5$ 
A)  slope: $- 5 ; y$-intercept: 2 
B)  slope: $2 ;$ y-intercept: 5 
C)  slope: $5 ; \mathrm { y }$-intercept: 2 
D)  slope: $2 ; y$-intercept: $- 5$

Question 4

Provide an appropriate response.
-Are the points A(0, 3), B(3, 6), C( 5, -2), and D(8, 1) the vertices of a parallelogram (opposite sides equal in length)? of a rhombus (all sides equal in length)?

Accepted Answer

A)  no; no 
B)  no; yes 
C)  yes; yes 
D)  yes; no 
A)  no; no 
B)  no; yes 
C)  yes; yes 
D)  yes; no

Question 5

Find the center-radius form of the equation of the circle.
-center $( 3,0 )$, radius $\sqrt { 19 }$

Accepted Answer

A)  $( x + 3 ) ^ { 2 } + y ^ { 2 } = 19$ 
B)  $( x - 3 ) ^ { 2 } + y ^ { 2 } = 19$ 
C)  $x ^ { 2 } + ( y - 3 ) ^ { 2 } = 361$ 
D)  $( x - 3 ) ^ { 2 } + y ^ { 2 } = \sqrt { 19 }$ 
A)  $( x + 3 ) ^ { 2 } + y ^ { 2 } = 19$ 
B)  $( x - 3 ) ^ { 2 } + y ^ { 2 } = 19$ 
C)  $x ^ { 2 } + ( y - 3 ) ^ { 2 } = 361$ 
D)  $( x - 3 ) ^ { 2 } + y ^ { 2 } = \sqrt { 19 }$

Question 6

Consider the function h as defined. Find functions f and g so that (f ∘ g)(x) = h(x).
-$$h ( x ) = | 3 x + 4 |$$

Accepted Answer

A)  $f ( x ) = | - x | , g ( x ) = 3 x - 4$ 
B)  $f ( x ) = | x | , g ( x ) = 3 x + 4$ 
C)  $f ( x ) = x , g ( x ) = 3 x + 4$ 
D)  $f ( x ) = - | x | , g ( x ) = 3 x + 4$ 
A)  $f ( x ) = | - x | , g ( x ) = 3 x - 4$ 
B)  $f ( x ) = | x | , g ( x ) = 3 x + 4$ 
C)  $f ( x ) = x , g ( x ) = 3 x + 4$ 
D)  $f ( x ) = - | x | , g ( x ) = 3 x + 4$

Question 7

Graph the equation by plotting points.
-$y=(x-3)^{3}$

Accepted Answer

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

Question 8

Solve the problem.
-A circle has a diameter with endpoints $( - 2,1 )$ and $( 18,13 )$. Find the coordinates of the center.

Accepted Answer

A)  $( 16,14 )$ 
B)  $( 8,7 )$ 
C)  $( - 12 , - 5 )$ 
D)  $( 38,25 )$ 
A)  $( 16,14 )$ 
B)  $( 8,7 )$ 
C)  $( - 12 , - 5 )$ 
D)  $( 38,25 )$

Question 9

Find the slope and the y-intercept of the line.
-$$3 x - 4 y = - 4$$

Accepted Answer

A)  slope: $\frac { 3 } { 4 } ; y$-intercept: 1 
B)  slope: $\frac { 4 } { 3 } ; y$-intercept: $- 1$ 
C)  slope: $- \frac { 3 } { 4 } ; \mathrm { y }$-intercept: $- 1$ 
D)  slope: $- \frac { 4 } { 3 } ; y$-intercept: 1 
A)  slope: $\frac { 3 } { 4 } ; y$-intercept: 1 
B)  slope: $\frac { 4 } { 3 } ; y$-intercept: $- 1$ 
C)  slope: $- \frac { 3 } { 4 } ; \mathrm { y }$-intercept: $- 1$ 
D)  slope: $- \frac { 4 } { 3 } ; y$-intercept: 1

Question 10

Use the graph to solve the problem.
-The graph shows the relationship between the area $\mathrm { A }$ of a rectangle and the length $\mathrm { L }$, if the width is fixed. Find the area if the length is $20 \mathrm {~cm}$.

Accepted Answer

A)  $238 \mathrm {~cm} ^ { 2 }$ 
B)  $280 \mathrm {~cm} ^ { 2 }$ 
C)  $224 \mathrm {~cm} ^ { 2 }$ 
D)  $308 \mathrm {~cm} ^ { 2 }$ 
A)  $238 \mathrm {~cm} ^ { 2 }$ 
B)  $280 \mathrm {~cm} ^ { 2 }$ 
C)  $224 \mathrm {~cm} ^ { 2 }$ 
D)  $308 \mathrm {~cm} ^ { 2 }$

Question 11

Determine whether the three points are the vertices of a right triangle.
-(10, -8), (16, -6), (22, -13)

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 12

For the pair of functions, find the indicated sum, difference, product, or quotient.
-$$\mathrm { f } ( \mathrm { x } ) = \sqrt { 7 \mathrm { x } + 7 } , \mathrm {~g} ( \mathrm { x } ) = \frac { 1 } { \mathrm { x } }$$
Find $\left( \frac { f } { g } \right) ( x )$.

Accepted Answer

A)  $\frac { \sqrt { 7 x + 7 } } { x }$ 
B)  $x \sqrt { 7 x + 7 }$ 
C)  $\frac { 1 } { x \sqrt { 7 x + 7 } }$ 
D)  $\frac { x } { \sqrt { 7 x + 7 } }$ 
A)  $\frac { \sqrt { 7 x + 7 } } { x }$ 
B)  $x \sqrt { 7 x + 7 }$ 
C)  $\frac { 1 } { x \sqrt { 7 x + 7 } }$ 
D)  $\frac { x } { \sqrt { 7 x + 7 } }$

Question 13

Solve the problem.
-The radius $\mathrm { r }$ of a circle of known area $\mathrm { A }$ is given by $\mathrm { r } = \sqrt { \mathrm { A } / \pi }$, where $\pi \approx 3.1416$. Find the radius

Accepted Answer

A)  $\mathrm { r } = 1.40 \mathrm { ft } , \mathrm { C } = 8.86 \mathrm { ft }$ 
B)  $\mathrm { r } = 1.40 \mathrm { ft } , \mathrm { C } = 8.80 \mathrm { sq } \mathrm { ft }$ 
C)  $\mathrm { r } = 1.96 \mathrm { ft } , \mathrm { C } = 12.32 \mathrm { ft }$ 
D)  $\mathrm { r } = 1.40 \mathrm { ft } , \mathrm { C } = 8.80 \mathrm { ft }$ 
A)  $\mathrm { r } = 1.40 \mathrm { ft } , \mathrm { C } = 8.86 \mathrm { ft }$ 
B)  $\mathrm { r } = 1.40 \mathrm { ft } , \mathrm { C } = 8.80 \mathrm { sq } \mathrm { ft }$ 
C)  $\mathrm { r } = 1.96 \mathrm { ft } , \mathrm { C } = 12.32 \mathrm { ft }$ 
D)  $\mathrm { r } = 1.40 \mathrm { ft } , \mathrm { C } = 8.80 \mathrm { ft }$

Question 14

Graph the equation by plotting points.
-$y=x^{2}-3$

Accepted Answer

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

Question 15

Give the domain and range of the relation.
-$$y = x ^ { 2 } + 8$$

Accepted Answer

A)  domain: $( - \infty , \infty )$; range: $[ 8 , \infty )$ 
B)  domain: $( 8 , \infty )$; range: $( - \infty , \infty )$ 
C)  domain: $( - \infty , \infty )$; range: $( - 8 , \infty )$ 
D)  domain: $( - 8 , \infty )$; range: $( - \infty , \infty )$ 
A)  domain: $( - \infty , \infty )$; range: $[ 8 , \infty )$ 
B)  domain: $( 8 , \infty )$; range: $( - \infty , \infty )$ 
C)  domain: $( - \infty , \infty )$; range: $( - 8 , \infty )$ 
D)  domain: $( - 8 , \infty )$; range: $( - \infty , \infty )$

Question 16

Graph the line described.
-through $( 4,0 ) ; \mathrm { m } = - \frac { 1 } { 2 }$

Accepted Answer

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

Question 17

Choose the value which could represent the slope of the line. Assume that the scale on the x -axis is the same as the scale
on the y-axis.
-

Accepted Answer

A) $-\frac{1}{3}$ 
B) 3 
C) -3 
D) $\frac{1}{3}$ 
A) $-\frac{1}{3}$ 
B) 3 
C) -3 
D) $\frac{1}{3}$

Question 18

Write an equation for the line described. Give your answer in slope-intercept form.
-slope $0 , \mathrm { y }$-intercept $- \frac { 14 } { 3 }$

Accepted Answer

A)  $x = - \frac { 14 } { 3 }$ 
B)  $y = - \frac { 14 } { 3 } x$ 
C)  $y = \frac { 14 } { 3 } x$ 
D)  $y = - \frac { 14 } { 3 }$ 
A)  $x = - \frac { 14 } { 3 }$ 
B)  $y = - \frac { 14 } { 3 } x$ 
C)  $y = \frac { 14 } { 3 } x$ 
D)  $y = - \frac { 14 } { 3 }$

Question 19

Decide whether the relation defines a function.
-Student Test Score

Accepted Answer

A)  Function 
B)  Not a function 
A)  Function 
B)  Not a function

Question 20

Decide whether the relation defines a function.
-

Accepted Answer

A)  Not a function 
B)  Function 
A)  Not a function 
B)  Function

Evaluate the function. -Find $g ( a - 1 )$ when $g ( x ) = \frac { 1 } { 5 } x - 2$

Determine whether the three points are the vertices of a right triangle. -(6, 4), (12, 6), (16, -6)

Find the slope and the y-intercept of the line. - $y = - 5 x + 2$

Provide an appropriate response. -Are the points A(0, 3), B(3, 6), C( 5, -2), and D(8, 1) the vertices of a parallelogram (opposite sides equal in length)? of a rhombus (all sides equal in length)?

Find the center-radius form of the equation of the circle. -center $( 3,0 )$ , radius $\sqrt { 19 }$

Consider the function h as defined. Find functions f and g so that (f ∘ g)(x) = h(x). - $h ( x ) = | 3 x + 4 |$

Graph the equation by plotting points. - $y=(x-3)^{3}$ $Graph the equation by plotting points. - y=(x-3)^{3}$

Solve the problem. -A circle has a diameter with endpoints $( - 2,1 )$ and $( 18,13 )$ . Find the coordinates of the center.

Find the slope and the y-intercept of the line. - $3 x - 4 y = - 4$

Determine whether the three points are the vertices of a right triangle. -(10, -8), (16, -6), (22, -13)

For the pair of functions, find the indicated sum, difference, product, or quotient. - $\mathrm { f } ( \mathrm { x } ) = \sqrt { 7 \mathrm { x } + 7 } , \mathrm {~g} ( \mathrm { x } ) = \frac { 1 } { \mathrm { x } }$ Find $\left( \frac { f } { g } \right) ( x )$ .

Solve the problem. -The radius $\mathrm { r }$ of a circle of known area $\mathrm { A }$ is given by $\mathrm { r } = \sqrt { \mathrm { A } / \pi }$ , where $\pi \approx 3.1416$ . Find the radius

Graph the equation by plotting points. - $y=x^{2}-3$ $Graph the equation by plotting points. - y=x^{2}-3$

Give the domain and range of the relation. - $y = x ^ { 2 } + 8$

Graph the line described. -through $( 4,0 ) ; \mathrm { m } = - \frac { 1 } { 2 }$ $Graph the line described. -through ( 4,0 ) ; \mathrm { m } = - \frac { 1 } { 2 }$

Choose the value which could represent the slope of the line. Assume that the scale on the x -axis is the same as the scale on the y-axis. -

Write an equation for the line described. Give your answer in slope-intercept form. -slope $0 , \mathrm { y }$ -intercept $- \frac { 14 } { 3 }$

Decide whether the relation defines a function. -Student Test Score

Decide whether the relation defines a function. -

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Exam 2: Graphs and Functions

Evaluate the function. -Find g(a−1)g ( a - 1 )g(a−1) when g(x)=15x−2g ( x ) = \frac { 1 } { 5 } x - 2g(x)=51​x−2

Determine whether the three points are the vertices of a right triangle. -(6, 4), (12, 6), (16, -6)

Find the slope and the y-intercept of the line. - y=−5x+2y = - 5 x + 2y=−5x+2

Provide an appropriate response. -Are the points A(0, 3), B(3, 6), C( 5, -2), and D(8, 1) the vertices of a parallelogram (opposite sides equal in length)? of a rhombus (all sides equal in length)?

Find the center-radius form of the equation of the circle. -center (3,0)( 3,0 )(3,0) , radius 19\sqrt { 19 }19​

Consider the function h as defined. Find functions f and g so that (f ∘ g)(x) = h(x). - h(x)=∣3x+4∣h ( x ) = | 3 x + 4 |h(x)=∣3x+4∣

Graph the equation by plotting points. - y=(x−3)3y=(x-3)^{3}y=(x−3)3

Solve the problem. -A circle has a diameter with endpoints (−2,1)( - 2,1 )(−2,1) and (18,13)( 18,13 )(18,13) . Find the coordinates of the center.

Find the slope and the y-intercept of the line. - 3x−4y=−43 x - 4 y = - 43x−4y=−4

Use the graph to solve the problem. -The graph shows the relationship between the area A\mathrm { A }A of a rectangle and the length L\mathrm { L }L , if the width is fixed. Find the area if the length is 20 cm20 \mathrm {~cm}20 cm .

Determine whether the three points are the vertices of a right triangle. -(10, -8), (16, -6), (22, -13)

Solve the problem. -The radius r\mathrm { r }r of a circle of known area A\mathrm { A }A is given by r=A/π\mathrm { r } = \sqrt { \mathrm { A } / \pi }r=A/π​ , where π≈3.1416\pi \approx 3.1416π≈3.1416 . Find the radius

Graph the equation by plotting points. - y=x2−3y=x^{2}-3y=x2−3

Give the domain and range of the relation. - y=x2+8y = x ^ { 2 } + 8y=x2+8

Graph the line described. -through (4,0);m=−12( 4,0 ) ; \mathrm { m } = - \frac { 1 } { 2 }(4,0);m=−21​

Choose the value which could represent the slope of the line. Assume that the scale on the x -axis is the same as the scale on the y-axis. -

Write an equation for the line described. Give your answer in slope-intercept form. -slope 0,y0 , \mathrm { y }0,y -intercept −143- \frac { 14 } { 3 }−314​

Decide whether the relation defines a function. -Student Test Score

Decide whether the relation defines a function. -

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Evaluate the function. -Find $g ( a - 1 )$ when $g ( x ) = \frac { 1 } { 5 } x - 2$

Find the slope and the y-intercept of the line. - $y = - 5 x + 2$

Find the center-radius form of the equation of the circle. -center $( 3,0 )$ , radius $\sqrt { 19 }$

Consider the function h as defined. Find functions f and g so that (f ∘ g)(x) = h(x). - $h ( x ) = | 3 x + 4 |$

Graph the equation by plotting points. - $y=(x-3)^{3}$ $Graph the equation by plotting points. - y=(x-3)^{3}$

Solve the problem. -A circle has a diameter with endpoints $( - 2,1 )$ and $( 18,13 )$ . Find the coordinates of the center.

Find the slope and the y-intercept of the line. - $3 x - 4 y = - 4$

Solve the problem. -The radius $\mathrm { r }$ of a circle of known area $\mathrm { A }$ is given by $\mathrm { r } = \sqrt { \mathrm { A } / \pi }$ , where $\pi \approx 3.1416$ . Find the radius

Graph the equation by plotting points. - $y=x^{2}-3$ $Graph the equation by plotting points. - y=x^{2}-3$

Give the domain and range of the relation. - $y = x ^ { 2 } + 8$

Graph the line described. -through $( 4,0 ) ; \mathrm { m } = - \frac { 1 } { 2 }$ $Graph the line described. -through ( 4,0 ) ; \mathrm { m } = - \frac { 1 } { 2 }$

Write an equation for the line described. Give your answer in slope-intercept form. -slope $0 , \mathrm { y }$ -intercept $- \frac { 14 } { 3 }$