Question 1

$$\text { If } K ( x ) = | x + 3 | + x , \text { find } K ( 6 )$$

Accepted Answer

The answer of \[\text { If } K ( x...

Question 2

If $f ( x ) = 4 x ^ { 2 } + 8 x - 9$, find and simplify $f ( 2 + x )$.

Accepted Answer

A)  $4 x ^ { 2 } + 8 x - 11$ 
B)  $23 + x$ 
C)  $4 x ^ { 2 } + 24 x + 23$ 
D)  $4 x ^ { 2 } + 2 x + 23$ 
A)  $4 x ^ { 2 } + 8 x - 11$ 
B)  $23 + x$ 
C)  $4 x ^ { 2 } + 24 x + 23$ 
D)  $4 x ^ { 2 } + 2 x + 23$

Question 3

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. $$\begin{array} { l } 
2 y = - 3 x + 2 \
9 x = - 6 y + 6
\end{array}$$

Accepted Answer

A)  neither 
B)  parallel 
C)  perpendicular 
A)  neither 
B)  parallel 
C)  perpendicular

Question 4

Find the x-intercept and the y-intercept then graph the equation. $$3 x + 4 y = 12$$

Accepted Answer

A)  $x$-intercept: $( 3,0 )$;
$y$-intercept: $( 0,4 )$
  
B)  $x$-intercept: $( 4,0 )$;
$y$-intercept: $( 0,3 )$
  
C)  $x$-intercept: $( - 4,0 )$;
$y$-intercept: $( 0 , - 3 )$
  
D)  $x$-intercept: $\left( \frac { 1 } { 4 } , 0 \right)$;
$y$-intercept: $\left( 0 , \frac { 1 } { 3 } \right)$
  
A)  $x$-intercept: $( 3,0 )$;
$y$-intercept: $( 0,4 )$
  
B)  $x$-intercept: $( 4,0 )$;
$y$-intercept: $( 0,3 )$
  
C)  $x$-intercept: $( - 4,0 )$;
$y$-intercept: $( 0 , - 3 )$
  
D)  $x$-intercept: $\left( \frac { 1 } { 4 } , 0 \right)$;
$y$-intercept: $\left( 0 , \frac { 1 } { 3 } \right)$

Question 5

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. $$\begin{array} { l } 
2 y = - 4 x - 3 \
4 x = 8 y - 5
\end{array}$$

Accepted Answer

A)  parallel 
B)  neither 
C)  perpendicular 
A)  parallel 
B)  neither 
C)  perpendicular

Question 6

Determine if the relation defines y as a function of x.

Accepted Answer

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

Question 7

Match the equation with the correct graph below. $$y = \frac { 4 } { 5 } x + 2$$

Accepted Answer

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

Question 8

The following figure represents the average hourly wage for employees of MegaMart from 1980 to 2005.   Let y represent the hourly wage and let x represent the year, where x = 0 corresponds to the year 1980, X = 1 represents 1981, and so on. Then the average wage can be approximated by the equation Y = 0.17x + 3.02, where $0 \leq x \leq 25$ Use the linear equation to approximate the average wage for the year 1985 and compare it to the actual Wage of $3.75 per hour.

Accepted Answer

A)  $4.72 per hour; the calculated wage was $0.97 more than the actual wage. 
B)  $3.02 per hour; the calculated wage was $0.73 less than the actual wage. 
C)  $3.02 per hour; the calculated wage was $0.17 more than the actual wage. 
D)  $3.87 per hour; the calculated wage was $0.12 more than the actual wage. 
A)  $4.72 per hour; the calculated wage was $0.97 more than the actual wage. 
B)  $3.02 per hour; the calculated wage was $0.73 less than the actual wage. 
C)  $3.02 per hour; the calculated wage was $0.17 more than the actual wage. 
D)  $3.87 per hour; the calculated wage was $0.12 more than the actual wage.

Question 9

Find the domain. Write the answer in interval notation. $$m ( x ) = \frac { x - 2 } { x + 3 }$$

Accepted Answer

A)  $[ - \infty , - 3 ) \cup ( - 3 , \infty ]$ 
B)  $( - \infty , - 3 ] \cup [ - 3 , \infty )$ 
C)  $( - \infty , - 3 ) \cup ( - 3 , \infty )$ 
D)  $( - \infty , \infty )$ 
A)  $[ - \infty , - 3 ) \cup ( - 3 , \infty ]$ 
B)  $( - \infty , - 3 ] \cup [ - 3 , \infty )$ 
C)  $( - \infty , - 3 ) \cup ( - 3 , \infty )$ 
D)  $( - \infty , \infty )$

Question 10

Graph the linear equation. $$y = \frac { 2 } { 3 } x - 2$$

Accepted Answer

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

Question 11

Consider the function z = {(0, -6),(2, -7),(-1, 0)}. Find the function value z(0).

Accepted Answer

The answer of Consider the function z = {(0, -6),(2,...

Question 12

Use the vertical line test to determine whether the relation defines y as a function of x.

Accepted Answer

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

Question 13

Write a function defined by y = f (x) subject to the following conditions. The value of f (x) is sixteen times the square root of x.

Accepted Answer

A)  $f ( x ) = 16 x ^ { 2 }$ 
B)  $f ( x ) = \sqrt { 16 x }$ 
C)  $f ( x ) = 16 \sqrt { x }$ 
D)  $f ( x ) = ( 16 x ) ^ { 2 }$ 
A)  $f ( x ) = 16 x ^ { 2 }$ 
B)  $f ( x ) = \sqrt { 16 x }$ 
C)  $f ( x ) = 16 \sqrt { x }$ 
D)  $f ( x ) = ( 16 x ) ^ { 2 }$

Question 14

For what value(s) of x is g(x) = -3?

Accepted Answer

A)  x = -4 
B)  x = -3 
C)  x = 4 
D)  x = 3 
A)  x = -4 
B)  x = -3 
C)  x = 4 
D)  x = 3

Question 15

Use the slope formula to determine the slope of the line containing the two points. (-4, -5) and (-8, -5)

Accepted Answer

A)  0 
B)  $\frac { 13 } { 8 }$ 
C)  $\frac { 3 } { 8 }$ 
D)  undefined 
A)  0 
B)  $\frac { 13 } { 8 }$ 
C)  $\frac { 3 } { 8 }$ 
D)  undefined

Question 16

Determine if the ordered pair is a solution to the linear equation. 2x + 7y = 14; (6, 0)

Accepted Answer

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

Question 17

Determine if the function is constant, linear, quadratic, or none of these. $$m ( x ) = \frac { 13 } { 6 }$$

Accepted Answer

A)  Constant 
B)  Quadratic 
C)  Linear 
D)  None of these 
A)  Constant 
B)  Quadratic 
C)  Linear 
D)  None of these

Question 18

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. $2 x-3 y=6$

Accepted Answer

A)  $y = - \frac { 2 } { 3 } x - 2$
  
B)  $y = \frac { 2 } { 3 } x + 2$
  
C)  $y = \frac { 2 } { 3 } x - 2$
  
D)  $y = \frac { 3 } { 2 } x + 2$
  
A)  $y = - \frac { 2 } { 3 } x - 2$
  
B)  $y = \frac { 2 } { 3 } x + 2$
  
C)  $y = \frac { 2 } { 3 } x - 2$
  
D)  $y = \frac { 3 } { 2 } x + 2$

Question 19

Write a mathematical equation to define a relation whose second component y is 10 more than the cube of its first component x.

Accepted Answer

A)  $x = y ^ { 3 } + 10$ 
B)  $y = x ^ { 3 } + 10$ 
C)  $y = \sqrt [ 3 ] { x } + 10$ 
D)  $y = 10 x ^ { 3 }$ 
A)  $x = y ^ { 3 } + 10$ 
B)  $y = x ^ { 3 } + 10$ 
C)  $y = \sqrt [ 3 ] { x } + 10$ 
D)  $y = 10 x ^ { 3 }$

Question 20

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through $( 2,1 )$ and $( 3,18 )$.

Accepted Answer

A)  $y = 17 x + 33$ 
B)  $y = 19 x + 33$ 
C)  $y = 19 x - 33$ 
D)  $y = 17 x - 33$ 
A)  $y = 17 x + 33$ 
B)  $y = 19 x + 33$ 
C)  $y = 19 x - 33$ 
D)  $y = 17 x - 33$

$\text { If } K ( x ) = | x + 3 | + x , \text { find } K ( 6 )$

If $f ( x ) = 4 x ^ { 2 } + 8 x - 9$ , find and simplify $f ( 2 + x )$ .

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 2y=-3x+2 9x=-6y+6

Find the x-intercept and the y-intercept then graph the equation. $3 x + 4 y = 12$

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 2y=-4x-3 4x=8y-5

Determine if the relation defines y as a function of x.

Match the equation with the correct graph below. $y = \frac { 4 } { 5 } x + 2$

Find the domain. Write the answer in interval notation. $m ( x ) = \frac { x - 2 } { x + 3 }$

Graph the linear equation. $y = \frac { 2 } { 3 } x - 2$ $Graph the linear equation. y = \frac { 2 } { 3 } x - 2$

Consider the function z = {(0, -6),(2, -7),(-1, 0)}. Find the function value z(0).

Use the vertical line test to determine whether the relation defines y as a function of x.

Write a function defined by y = f (x) subject to the following conditions. The value of f (x) is sixteen times the square root of x.

For what value(s) of x is g(x) = -3?

Use the slope formula to determine the slope of the line containing the two points. (-4, -5) and (-8, -5)

Determine if the ordered pair is a solution to the linear equation. 2x + 7y = 14; (6, 0)

Determine if the function is constant, linear, quadratic, or none of these. $m ( x ) = \frac { 13 } { 6 }$

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. $2 x-3 y=6$

Write a mathematical equation to define a relation whose second component y is 10 more than the cube of its first component x.

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through $( 2,1 )$ and $( 3,18 )$ .

Linear Equations and Inequalities in One Variable

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

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Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

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Exam 2: Linear Equations in Two Variables and Functions

If K(x)=∣x+3∣+x, find K(6)\text { If } K ( x ) = | x + 3 | + x , \text { find } K ( 6 ) If K(x)=∣x+3∣+x, find K(6)

If f(x)=4x2+8x−9f ( x ) = 4 x ^ { 2 } + 8 x - 9f(x)=4x2+8x−9 , find and simplify f(2+x)f ( 2 + x )f(2+x) .

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 2y=-3x+2 9x=-6y+6

Find the x-intercept and the y-intercept then graph the equation. 3x+4y=123 x + 4 y = 123x+4y=12

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 2y=-4x-3 4x=8y-5

Determine if the relation defines y as a function of x.

Match the equation with the correct graph below. y=45x+2y = \frac { 4 } { 5 } x + 2y=54​x+2

Find the domain. Write the answer in interval notation. m(x)=x−2x+3m ( x ) = \frac { x - 2 } { x + 3 }m(x)=x+3x−2​

Graph the linear equation. y=23x−2y = \frac { 2 } { 3 } x - 2y=32​x−2

Consider the function z = {(0, -6),(2, -7),(-1, 0)}. Find the function value z(0).

Use the vertical line test to determine whether the relation defines y as a function of x.

Write a function defined by y = f (x) subject to the following conditions. The value of f (x) is sixteen times the square root of x.

For what value(s) of x is g(x) = -3?

Use the slope formula to determine the slope of the line containing the two points. (-4, -5) and (-8, -5)

Determine if the ordered pair is a solution to the linear equation. 2x + 7y = 14; (6, 0)

Determine if the function is constant, linear, quadratic, or none of these. m(x)=136m ( x ) = \frac { 13 } { 6 }m(x)=613​

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. 2x−3y=62 x-3 y=62x−3y=6

Write a mathematical equation to define a relation whose second component y is 10 more than the cube of its first component x.

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through (2,1)( 2,1 )(2,1) and (3,18)( 3,18 )(3,18) .

Linear Equations and Inequalities in One Variable

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

Filters

$\text { If } K ( x ) = | x + 3 | + x , \text { find } K ( 6 )$

If $f ( x ) = 4 x ^ { 2 } + 8 x - 9$ , find and simplify $f ( 2 + x )$ .

Find the x-intercept and the y-intercept then graph the equation. $3 x + 4 y = 12$

Match the equation with the correct graph below. $y = \frac { 4 } { 5 } x + 2$

Find the domain. Write the answer in interval notation. $m ( x ) = \frac { x - 2 } { x + 3 }$

Graph the linear equation. $y = \frac { 2 } { 3 } x - 2$ $Graph the linear equation. y = \frac { 2 } { 3 } x - 2$

Determine if the function is constant, linear, quadratic, or none of these. $m ( x ) = \frac { 13 } { 6 }$

Write the equation in slope-intercept form. Then, graph the line using the slope and y-intercept. $2 x-3 y=6$

Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form. The line passes through $( 2,1 )$ and $( 3,18 )$ .