Question 1

Determine the slope and the y-intercept of the line.
-$$6 x - 5 y = 4$$

Accepted Answer

A)  Slope: Slope: $\frac { 6 } { 5 } ; y$-intercept: $( 0,4 )$ 
B)  Slope: Slope: $\frac { 6 } { 5 } ; y$-intercept: $\left( 0 , - \frac { 4 } { 5 } \right)$ 
C)  Slope: Slope: $\frac { 5 } { 6 } ; y$-intercept: $\left( 0 , - \frac { 5 } { 4 } \right)$ 
D)  Slope: $- \frac { 6 } { 5 } ; y$-intercept: $\left( 0 , - \frac { 4 } { 5 } \right)$ 
A)  Slope: Slope: $\frac { 6 } { 5 } ; y$-intercept: $( 0,4 )$ 
B)  Slope: Slope: $\frac { 6 } { 5 } ; y$-intercept: $\left( 0 , - \frac { 4 } { 5 } \right)$ 
C)  Slope: Slope: $\frac { 5 } { 6 } ; y$-intercept: $\left( 0 , - \frac { 5 } { 4 } \right)$ 
D)  Slope: $- \frac { 6 } { 5 } ; y$-intercept: $\left( 0 , - \frac { 4 } { 5 } \right)$

Question 2

Determine the slope of the line passing through the given points.
-$( - 7 , - 10 )$ and $( 5 , - 10 )$

Accepted Answer

A)  1 
B)  0 
C)  Undefined 
D)  12 
A)  1 
B)  0 
C)  Undefined 
D)  12

Question 3

Use the given information about a circle to write an equation of the circle in standard form.
-The center is $( 4 , - 1 )$ and the circle is tangent to the $x$-axis.

Accepted Answer

A)  $( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 16$ 
B)  $( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 1$ 
C)  $( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 1$ 
D)  $( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 16$ 
A)  $( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 16$ 
B)  $( x - 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 1$ 
C)  $( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 1$ 
D)  $( x + 4 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 16$

Question 4

Evaluate the function for the given value of x.
-$$f ( x ) = x ^ { 2 } + 3 x , g ( x ) = 5 x - 4 , ( g \circ f ) ( - 3 ) = \text { ? }$$

Accepted Answer

A)  $( g \circ f ) ( - 3 ) = - 0$ 
B)  $( g \circ f ) ( - 3 ) = - 4$ 
C)  $( g \circ f ) ( - 3 ) = 0$ 
D)  $( g \circ f ) ( - 3 ) = 304$ 
A)  $( g \circ f ) ( - 3 ) = - 0$ 
B)  $( g \circ f ) ( - 3 ) = - 4$ 
C)  $( g \circ f ) ( - 3 ) = 0$ 
D)  $( g \circ f ) ( - 3 ) = 304$

Question 5

Evaluate as indicated.
-If $f ( x ) = 3 x ^ { 2 } + 8 x - 3$, find and simplify $f ( 2 + x )$.

Accepted Answer

A)  $3 x ^ { 2 } + 20 x + 25$ 
B)  $3 x ^ { 2 } + 2 x + 25$ 
C)  $25 + x$ 
D)  $3 x ^ { 2 } + 8 x - 5$ 
A)  $3 x ^ { 2 } + 20 x + 25$ 
B)  $3 x ^ { 2 } + 2 x + 25$ 
C)  $25 + x$ 
D)  $3 x ^ { 2 } + 8 x - 5$

Question 6

A ________to an equation in the variables x and y is an ordered pair (x, y) that makes the equation a true statement.

Accepted Answer

The answer of A ________to an equation in the variables...

Question 7

Plot the point on a rectangular coordinate system.
-The figure represents the average credit card debt for selected households in Silerville. $$\text { Average Credit Card Debt, Selected Households }$$
 
 Let y represent the credit card debt in dollars. Let x represent the year, where x = 0 corresponds to the year 1990, x = 4 represents 1994, and so on.
a. Use the ordered pairs given in the graph, (0, 3581) and (16, 8106) to find a linear equation to estimate the
Average credit card debt versus the year. Round the slope to the nearest tenth.
b. Use the model from (a) to estimate the average debt in 2003. Round to the nearest dollar.
c. Interpret the slope of the model in the context of this problem.

Accepted Answer

A)  a. $y = 282.8 x + 3,581$
b. $\$ 7,257$ in 2003
c. The average household credit card debt is increasing at approximately $\$ 3,581$ per year. 
B)  а. $y = 282.8 x + 3,581$
b. $\$ 7,257$ in 2003
c. The average household credit card debt is increasing at approximately $\$ 283$ per year. 
C)  a. $y = - 282.8 x + 3,581$
b. $\$ 95.4$ in 2003
c. The average household credit card debt is decreasing at approximately $\$ 283$ per year. 
D)  a. $y = 282.8 x + 3,581$
b. $- \$ 95.4$ in 2003
c. The average household credit card debt is decreasing at approximately $\$ 3,581$ per year. 
A)  a. $y = 282.8 x + 3,581$
b. $\$ 7,257$ in 2003
c. The average household credit card debt is increasing at approximately $\$ 3,581$ per year. 
B)  а. $y = 282.8 x + 3,581$
b. $\$ 7,257$ in 2003
c. The average household credit card debt is increasing at approximately $\$ 283$ per year. 
C)  a. $y = - 282.8 x + 3,581$
b. $\$ 95.4$ in 2003
c. The average household credit card debt is decreasing at approximately $\$ 283$ per year. 
D)  a. $y = 282.8 x + 3,581$
b. $- \$ 95.4$ in 2003
c. The average household credit card debt is decreasing at approximately $\$ 3,581$ per year.

Question 8

Use the given information about a circle to find its equation.
-Center $( 6 , - 7 )$ and radius of 5

Accepted Answer

A)  $( x + 6 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 5$ 
B)  $( x + 6 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$ 
C)  $( x - 6 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5$ 
D)  $( x - 6 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$ 
A)  $( x + 6 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 5$ 
B)  $( x + 6 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$ 
C)  $( x - 6 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 5$ 
D)  $( x - 6 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$

Question 9

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-$y = - \frac { 5 } { 9 } x + 5$

Accepted Answer

A)  y-axis 
B)  x-axis 
C)  x-axis, y-axis, and origin 
D)  none of these 
A)  y-axis 
B)  x-axis 
C)  x-axis, y-axis, and origin 
D)  none of these

Question 10

Evaluate the function for the given value of x.
-$$f ( x ) = - 3 x , g ( x ) = | x - 6 | , ( f \cdot g ) ( - 4 ) = \text { ? }$$

Accepted Answer

A)  $( f \cdot g ) ( - 4 ) = - 30$ 
B)  $( f \cdot g ) ( - 4 ) = 120$ 
C)  $( f \cdot g ) ( - 4 ) = 6$ 
D)  $( f \cdot g ) ( - 4 ) = - 120$ 
A)  $( f \cdot g ) ( - 4 ) = - 30$ 
B)  $( f \cdot g ) ( - 4 ) = 120$ 
C)  $( f \cdot g ) ( - 4 ) = 6$ 
D)  $( f \cdot g ) ( - 4 ) = - 120$

Question 11

Find the indicated function and write its domain in interval notation.
-$$r ( x ) = | - 3 x - 7 | , n ( x ) = x + 4 , ( r \circ n ) ( x ) = ?$$

Accepted Answer

A)  $( r \circ n ) ( x ) = | - 3 x - 19 |$; domain: $( - \infty , \infty )$ 
B)  $( r \circ n ) ( x ) = | - 3 x - 7 | + 4$; domain: $( - \infty , \infty )$ 
C)  $( r \circ n ) ( x ) = | - 3 x - 19 | ;$ domain: $\left( - \infty , - \frac { 19 } { 3 } \right)$ 
D)  $( r \circ n ) ( x ) = | - 3 x - 7 | + 4 ;$ domain: $\left( - \infty , - \frac { 7 } { 3 } \right)$ 
A)  $( r \circ n ) ( x ) = | - 3 x - 19 |$; domain: $( - \infty , \infty )$ 
B)  $( r \circ n ) ( x ) = | - 3 x - 7 | + 4$; domain: $( - \infty , \infty )$ 
C)  $( r \circ n ) ( x ) = | - 3 x - 19 | ;$ domain: $\left( - \infty , - \frac { 19 } { 3 } \right)$ 
D)  $( r \circ n ) ( x ) = | - 3 x - 7 | + 4 ;$ domain: $\left( - \infty , - \frac { 7 } { 3 } \right)$

Question 12

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form.
-The line passes through the point $( 2,13 )$ and has a slope of 4 .

Accepted Answer

A)  $y = 4 x + 5$ 
B)  $y = 4 x + 13$ 
C)  $y = - 4 x + 13$ 
D)  $y = 4 x + 2$ 
A)  $y = 4 x + 5$ 
B)  $y = 4 x + 13$ 
C)  $y = - 4 x + 13$ 
D)  $y = 4 x + 2$

Question 13

Use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant.
-

Accepted Answer

A)  a. $( - 4 , \infty )$
b. $( - \infty , - 4 )$
c. never constant 
B)  a. never increasing
b. $( - \infty , - 2 ) \cup ( 2 , \infty )$
c. $( - 2,2 )$ 
C)  a. $( - \infty , - 2 ) \cup ( 2 , \infty )$
b. never decreasing
c. $( - 2,2 )$ 
D)  a. $( - \infty , 2 ) \cup ( 2 , \infty )$
b. never decreasing
c. $( - 2,2 )$ 
A)  a. $( - 4 , \infty )$
b. $( - \infty , - 4 )$
c. never constant 
B)  a. never increasing
b. $( - \infty , - 2 ) \cup ( 2 , \infty )$
c. $( - 2,2 )$ 
C)  a. $( - \infty , - 2 ) \cup ( 2 , \infty )$
b. never decreasing
c. $( - 2,2 )$ 
D)  a. $( - \infty , 2 ) \cup ( 2 , \infty )$
b. never decreasing
c. $( - 2,2 )$

Question 14

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-$| x | + | y | = 7.3$

Accepted Answer

A)  y-axis 
B)  x-axis 
C)  x-axis, y-axis, and origin 
D)  none of these 
A)  y-axis 
B)  x-axis 
C)  x-axis, y-axis, and origin 
D)  none of these

Question 15

Given an equation in the variables x and y, find the y-intercept by substituting ________for x and solving for ________.

Accepted Answer

The answer of Given an equation in the variables x...

Question 16

Write the word or phrase that best completes each statement or answers the question. Provide the missing information.
-Given, $f ( x ) = \frac { x + 1 } { x + 5 }$ the domain is restricted so that $x \neq$ .

Accepted Answer

The answer of Write the word or phrase that best...

Question 17

Write the domain in interval notation.
-$$g ( t ) = \sqrt [ 3 ] { 5 - t }$$

Accepted Answer

A)  $( - \infty , 5 ]$ 
B)  $[ 5 , \infty )$ 
C)  $( - \infty , 5 ) \cup ( 5 , \infty )$ 
D)  $( - \infty , \infty )$ 
A)  $( - \infty , 5 ]$ 
B)  $[ 5 , \infty )$ 
C)  $( - \infty , 5 ) \cup ( 5 , \infty )$ 
D)  $( - \infty , \infty )$

Question 18

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

Accepted Answer

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

Question 19

Find the x- and y-intercepts.
-$$\frac { ( x - 5 ) ^ { 2 } } { 1 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1$$

Accepted Answer

A)  $x$-intercept: $( 6,0 ) ; y$-intercept: $( 0,6 )$ 
B)  $x$-intercepts: $( - 1,0 )$ and $( 1,0 ) ; y$-intercepts: $( 0 , - 2 )$ and $( 0,2 )$ 
C)  $x$-intercept: none; $y$-intercept: none 
D)  $x$-intercept: $( 1,0 ) ; y$-intercept: $( 0,2 )$ 
A)  $x$-intercept: $( 6,0 ) ; y$-intercept: $( 0,6 )$ 
B)  $x$-intercepts: $( - 1,0 )$ and $( 1,0 ) ; y$-intercepts: $( 0 , - 2 )$ and $( 0,2 )$ 
C)  $x$-intercept: none; $y$-intercept: none 
D)  $x$-intercept: $( 1,0 ) ; y$-intercept: $( 0,2 )$

Question 20

Determine the x- and y-intercepts for the given function.
-$$B ( x ) = 7 x + 3$$

Accepted Answer

A)  $x$ - and $y$-intercept: $( 0,0 )$ 
B)  $x$-intercept: 
C)  $x$-intercept: $\left( - \frac { 7 } { 3 } , 0 \right)$; 
D)  $x$-intercept: $\left( - \frac { 3 } { 7 } , 0 \right)$
$y$-intercept: $( 0 , - 3 )$ 
A)  $x$ - and $y$-intercept: $( 0,0 )$ 
B)  $x$-intercept: 
C)  $x$-intercept: $\left( - \frac { 7 } { 3 } , 0 \right)$; 
D)  $x$-intercept: $\left( - \frac { 3 } { 7 } , 0 \right)$
$y$-intercept: $( 0 , - 3 )$

Determine the slope and the y-intercept of the line. - $6 x - 5 y = 4$

Determine the slope of the line passing through the given points. - $( - 7 , - 10 )$ and $( 5 , - 10 )$

Use the given information about a circle to write an equation of the circle in standard form. -The center is $( 4 , - 1 )$ and the circle is tangent to the $x$ -axis.

Evaluate the function for the given value of x. - $f ( x ) = x ^ { 2 } + 3 x , g ( x ) = 5 x - 4 , ( g \circ f ) ( - 3 ) = \text { ? }$

Evaluate as indicated. -If $f ( x ) = 3 x ^ { 2 } + 8 x - 3$ , find and simplify $f ( 2 + x )$ .

A ________to an equation in the variables x and y is an ordered pair (x, y) that makes the equation a true statement.

Use the given information about a circle to find its equation. -Center $( 6 , - 7 )$ and radius of 5

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. - $y = - \frac { 5 } { 9 } x + 5$

Evaluate the function for the given value of x. - $f ( x ) = - 3 x , g ( x ) = | x - 6 | , ( f \cdot g ) ( - 4 ) = \text { ? }$

Find the indicated function and write its domain in interval notation. - $r ( x ) = | - 3 x - 7 | , n ( x ) = x + 4 , ( r \circ n ) ( x ) = ?$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. -The line passes through the point $( 2,13 )$ and has a slope of 4 .

Use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant. -

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. - $| x | + | y | = 7.3$

Given an equation in the variables x and y, find the y-intercept by substituting for x and solving for .

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Given, $f ( x ) = \frac { x + 1 } { x + 5 }$ the domain is restricted so that $x \neq$ .

Write the domain in interval notation. - $g ( t ) = \sqrt [ 3 ] { 5 - t }$

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

Find the x- and y-intercepts. - $\frac { ( x - 5 ) ^ { 2 } } { 1 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1$

Determine the x- and y-intercepts for the given function. - $B ( x ) = 7 x + 3$

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

Exam 2: Functions and Relations

Determine the slope and the y-intercept of the line. - 6x−5y=46 x - 5 y = 46x−5y=4

Determine the slope of the line passing through the given points. - (−7,−10)( - 7 , - 10 )(−7,−10) and (5,−10)( 5 , - 10 )(5,−10)

Use the given information about a circle to write an equation of the circle in standard form. -The center is (4,−1)( 4 , - 1 )(4,−1) and the circle is tangent to the xxx -axis.

Evaluate the function for the given value of x. - f(x)=x2+3x,g(x)=5x−4,(g∘f)(−3)= ? f ( x ) = x ^ { 2 } + 3 x , g ( x ) = 5 x - 4 , ( g \circ f ) ( - 3 ) = \text { ? }f(x)=x2+3x,g(x)=5x−4,(g∘f)(−3)= ?

Evaluate as indicated. -If f(x)=3x2+8x−3f ( x ) = 3 x ^ { 2 } + 8 x - 3f(x)=3x2+8x−3 , find and simplify f(2+x)f ( 2 + x )f(2+x) .

A ________to an equation in the variables x and y is an ordered pair (x, y) that makes the equation a true statement.

Use the given information about a circle to find its equation. -Center (6,−7)( 6 , - 7 )(6,−7) and radius of 5

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. - y=−59x+5y = - \frac { 5 } { 9 } x + 5y=−95​x+5

Evaluate the function for the given value of x. - f(x)=−3x,g(x)=∣x−6∣,(f⋅g)(−4)= ? f ( x ) = - 3 x , g ( x ) = | x - 6 | , ( f \cdot g ) ( - 4 ) = \text { ? }f(x)=−3x,g(x)=∣x−6∣,(f⋅g)(−4)= ?

Find the indicated function and write its domain in interval notation. - r(x)=∣−3x−7∣,n(x)=x+4,(r∘n)(x)=?r ( x ) = | - 3 x - 7 | , n ( x ) = x + 4 , ( r \circ n ) ( x ) = ?r(x)=∣−3x−7∣,n(x)=x+4,(r∘n)(x)=?

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. -The line passes through the point (2,13)( 2,13 )(2,13) and has a slope of 4 .

Use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c) constant. -

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. - ∣x∣+∣y∣=7.3| x | + | y | = 7.3∣x∣+∣y∣=7.3

Given an equation in the variables x and y, find the y-intercept by substituting ________for x and solving for ________.

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Given, f(x)=x+1x+5f ( x ) = \frac { x + 1 } { x + 5 }f(x)=x+5x+1​ the domain is restricted so that x≠x \neqx= .

Write the domain in interval notation. - g(t)=5−t3g ( t ) = \sqrt [ 3 ] { 5 - t }g(t)=35−t​

Graph the equation by plotting points. - p(x)=−x3p ( x ) = - x ^ { 3 }p(x)=−x3

Find the x- and y-intercepts. - (x−5)21+(y−4)24=1\frac { ( x - 5 ) ^ { 2 } } { 1 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 11(x−5)2​+4(y−4)2​=1

Determine the x- and y-intercepts for the given function. - B(x)=7x+3B ( x ) = 7 x + 3B(x)=7x+3

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants and Applications

Analytic Geometry

Sequences, Series, Induction, and Probability

Review of Prerequisites

Filters

Determine the slope and the y-intercept of the line. - $6 x - 5 y = 4$

Determine the slope of the line passing through the given points. - $( - 7 , - 10 )$ and $( 5 , - 10 )$

Use the given information about a circle to write an equation of the circle in standard form. -The center is $( 4 , - 1 )$ and the circle is tangent to the $x$ -axis.

Evaluate the function for the given value of x. - $f ( x ) = x ^ { 2 } + 3 x , g ( x ) = 5 x - 4 , ( g \circ f ) ( - 3 ) = \text { ? }$

Evaluate as indicated. -If $f ( x ) = 3 x ^ { 2 } + 8 x - 3$ , find and simplify $f ( 2 + x )$ .

Use the given information about a circle to find its equation. -Center $( 6 , - 7 )$ and radius of 5

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. - $y = - \frac { 5 } { 9 } x + 5$

Evaluate the function for the given value of x. - $f ( x ) = - 3 x , g ( x ) = | x - 6 | , ( f \cdot g ) ( - 4 ) = \text { ? }$

Find the indicated function and write its domain in interval notation. - $r ( x ) = | - 3 x - 7 | , n ( x ) = x + 4 , ( r \circ n ) ( x ) = ?$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. -The line passes through the point $( 2,13 )$ and has a slope of 4 .

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. - $| x | + | y | = 7.3$

Given an equation in the variables x and y, find the y-intercept by substituting for x and solving for .

Write the word or phrase that best completes each statement or answers the question. Provide the missing information. -Given, $f ( x ) = \frac { x + 1 } { x + 5 }$ the domain is restricted so that $x \neq$ .

Write the domain in interval notation. - $g ( t ) = \sqrt [ 3 ] { 5 - t }$

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

Find the x- and y-intercepts. - $\frac { ( x - 5 ) ^ { 2 } } { 1 } + \frac { ( y - 4 ) ^ { 2 } } { 4 } = 1$

Determine the x- and y-intercepts for the given function. - $B ( x ) = 7 x + 3$