Question 1

Which of the following statements is true for the graph below?

Accepted Answer

A)  $f ( 0 ) = 4$ 
B)  $f ( - 3 ) = 1$ 
C)  $f ( 0 ) = 0$ 
D)  $f ( - 2 ) = - 2$ 
A)  $f ( 0 ) = 4$ 
B)  $f ( - 3 ) = 1$ 
C)  $f ( 0 ) = 0$ 
D)  $f ( - 2 ) = - 2$

Question 2

Use the graph below to find the slope, x -intercept, and y -intercept. Write x -intercept and y -intercept as ordered pairs. Then use the slope-intercept form to write an equation of the line.

Accepted Answer

Slope: @#IMG-DLM& x -intercept

Question 3

Write an equation in slope-intercept form of the line with the given properties.
$\begin{array}{|l|l|}
\hline  \text { x } &  \text { y }\
\hline 2 &6  \
\hline  0 & -5 \
\hline
\end{array}$

Accepted Answer

The answer of Write an equation in slope-intercept form of...

Question 4

Determine whether the given ordered pair is a solution of the equation $5 x - 2 y = - 24$ . (-4,2)

Accepted Answer

The answer of Determine whether the given ordered pair is...

Question 5

Let $f ( x ) = - 5 x + 8$ . For what value of x does function $f$ have the given value?
 $f ( x ) = - 7$  x = __________

Accepted Answer

The answer of Let \(f ( x ) = -...

Question 6

Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form. $( 2,6 ) ; 5 x - y = 6$

Accepted Answer

A)  $y = 2 x - 6$ 
B)  $y = - 5 x - 4$ 
C)  $y = 5 x - 6$ 
D)  $y = 2 x - 4$ 
E)  $y = 5 x - 4$ 
A)  $y = 2 x - 6$ 
B)  $y = - 5 x - 4$ 
C)  $y = 5 x - 6$ 
D)  $y = 2 x - 4$ 
E)  $y = 5 x - 4$

Question 7

Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form. $( - 16,4 ) , 4 x = - y - 14$

Accepted Answer

The answer of Find an equation of the line that...

Question 8

Determine whether the ordered pair is a solution of the equation. $y = - 3 x - 2$ (-1,5)

Accepted Answer

The answer of Determine whether the ordered pair is a...

Question 9

If a line segment joins points P and Q , points P and Q are called __________ of the segment.

Accepted Answer

A)  origins 
B)  quadrants 
C)  endpoints 
D)  midpoints 
E)  coordinates 
A)  origins 
B)  quadrants 
C)  endpoints 
D)  midpoints 
E)  coordinates

Question 10

Sketch the graph of the associated function, $g ( x ) = | x |$ then draw the graph of the function f using translation and/or a reflection. $f ( x ) = | x - 4 | - 1$

Accepted Answer

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

Question 11

If a point is midway between two points P and Q , it is called the __________ of segment PQ .

Accepted Answer

The answer of If a point is midway between two...

Question 12

Refer to the graph to find the value of $g ( 0 )$ .

Accepted Answer

A)  2 
B)  1 
C)  -2 
D)  -1 
E)  3 
A)  2 
B)  1 
C)  -2 
D)  -1 
E)  3

Question 13

The graph of $f ( x ) = x ^ { 2 } - 4$ is the graph of y = $x ^ { 2 }$

Accepted Answer

A)  shifted 4 units to the right. 
B)  shifted 4 units to the left. 
C)  shifted up 4 units. 
D)  shifted down 4 units. 
A)  shifted 4 units to the right. 
B)  shifted 4 units to the left. 
C)  shifted up 4 units. 
D)  shifted down 4 units.

Question 14

Let $f ( x ) = - 3 x + 8$ . For what value of x does function $f$ have the given value? $f ( x ) = - 13$

Accepted Answer

A)  x = 5 
B)  x = 3 
C)  x = 7 
D)  x = 1 
E)  x = 15 
A)  x = 5 
B)  x = 3 
C)  x = 7 
D)  x = 1 
E)  x = 15

Question 15

Plot the point on the rectangular coordinate system, and name the quadrant or axis in which the point lies. $( 3.5 , - 3 )$

Accepted Answer

A)    The point lies in quadrant II. 
B)    The point lies in quadrant III. 
C)   
 The point lies in quadrant III. 
D)   
 The point lies in quadrant IV. 
E)    The point lies in quadrant II. 
A)    The point lies in quadrant II. 
B)    The point lies in quadrant III. 
C)   
 The point lies in quadrant III. 
D)   
 The point lies in quadrant IV. 
E)    The point lies in quadrant II.

Question 16

To graph $y = - \frac { 2 } { 3 } x + 5$ using the slope and y -intercept,

Accepted Answer

A)  you plot the y -intercept (0,5) and then move down 2 units and then move 3 units to the left. 
B)  you plot the y -intercept (0,5)  and then move up 2 units and then move 3 units to the right. 
C)  you plot the y -intercept (0,5)  and then move down 2 units and then move 3 units to the right. 
D)  you plot the y -intercept (5,0)  and then move down 2 units and then move 3 units to the left. 
A)  you plot the y -intercept (0,5) and then move down 2 units and then move 3 units to the left. 
B)  you plot the y -intercept (0,5)  and then move up 2 units and then move 3 units to the right. 
C)  you plot the y -intercept (0,5)  and then move down 2 units and then move 3 units to the right. 
D)  you plot the y -intercept (5,0)  and then move down 2 units and then move 3 units to the left.

Question 17

If a point is midway between two points P and Q , it is called the __________ of segment PQ .

Accepted Answer

A)  midpoint 
B)  quadrant 
C)  endpoint 
D)  origin 
E)  rectangular coordinate system 
A)  midpoint 
B)  quadrant 
C)  endpoint 
D)  origin 
E)  rectangular coordinate system

Question 18

Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form. $( 2,5 ) ; y = 4 x - 7$

Accepted Answer

The answer of Find an equation of the line that...

Question 19

If the demand equation for a 25-inch television is $p = - \frac { 1 } { 10 } q + 600$ , where p is the price and q is the number of televisions sold at that price, how many televisions will be sold at a price of $520?

Accepted Answer

A)  575 
B)  800 
C)  715 
D)  8 
A)  575 
B)  800 
C)  715 
D)  8

Question 20

Graph $f ( x ) = - ( x - 1 ) ^ { 2 } + 1$ . Give the domain and range.

Accepted Answer

@#IMG-DLM& Domain: all real nu

Which of the following statements is true for the graph below?

Use the graph below to find the slope, x -intercept, and y -intercept. Write x -intercept and y -intercept as ordered pairs. Then use the slope-intercept form to write an equation of the line.

Write an equation in slope-intercept form of the line with the given properties. x y 2 6 0 -5

Determine whether the given ordered pair is a solution of the equation $5 x - 2 y = - 24$ . (-4,2)

Let $f ( x ) = - 5 x + 8$ . For what value of x does function $f$ have the given value? $f ( x ) = - 7$ x = __________

Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form. $( 2,6 ) ; 5 x - y = 6$

Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form. $( - 16,4 ) , 4 x = - y - 14$

Determine whether the ordered pair is a solution of the equation. $y = - 3 x - 2$ (-1,5)

If a line segment joins points P and Q , points P and Q are called __________ of the segment.

Sketch the graph of the associated function, $g ( x ) = | x |$ then draw the graph of the function f using translation and/or a reflection. $f ( x ) = | x - 4 | - 1$

If a point is midway between two points P and Q , it is called the __________ of segment PQ .

Refer to the graph to find the value of $g ( 0 )$ .

The graph of $f ( x ) = x ^ { 2 } - 4$ is the graph of y = $x ^ { 2 }$

Let $f ( x ) = - 3 x + 8$ . For what value of x does function $f$ have the given value? $f ( x ) = - 13$

Plot the point on the rectangular coordinate system, and name the quadrant or axis in which the point lies. $( 3.5 , - 3 )$

To graph $y = - \frac { 2 } { 3 } x + 5$ using the slope and y -intercept,

If a point is midway between two points P and Q , it is called the __________ of segment PQ .

Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form. $( 2,5 ) ; y = 4 x - 7$

If the demand equation for a 25-inch television is $p = - \frac { 1 } { 10 } q + 600$ , where p is the price and q is the number of televisions sold at that price, how many televisions will be sold at a price of $520?

Graph $f ( x ) = - ( x - 1 ) ^ { 2 } + 1$ . Give the domain and range. $Graph f ( x ) = - ( x - 1 ) ^ { 2 } + 1 . Give the domain and range.$

A Review of Basic Algebra

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 2: Graphs, Equations of Lines, and Functions

Which of the following statements is true for the graph below?

Use the graph below to find the slope, x -intercept, and y -intercept. Write x -intercept and y -intercept as ordered pairs. Then use the slope-intercept form to write an equation of the line.

Write an equation in slope-intercept form of the line with the given properties. x y 2 6 0 -5

Determine whether the given ordered pair is a solution of the equation 5x−2y=−245 x - 2 y = - 245x−2y=−24 . (-4,2)

Let f(x)=−5x+8f ( x ) = - 5 x + 8f(x)=−5x+8 . For what value of x does function fff have the given value? f(x)=−7f ( x ) = - 7f(x)=−7 x = __________

Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form. (2,6);5x−y=6( 2,6 ) ; 5 x - y = 6(2,6);5x−y=6

Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form. (−16,4),4x=−y−14( - 16,4 ) , 4 x = - y - 14(−16,4),4x=−y−14

Determine whether the ordered pair is a solution of the equation. y=−3x−2y = - 3 x - 2y=−3x−2 (-1,5)

If a line segment joins points P and Q , points P and Q are called __________ of the segment.

Sketch the graph of the associated function, g(x)=∣x∣g ( x ) = | x |g(x)=∣x∣ then draw the graph of the function f using translation and/or a reflection. f(x)=∣x−4∣−1f ( x ) = | x - 4 | - 1f(x)=∣x−4∣−1

If a point is midway between two points P and Q , it is called the __________ of segment PQ .

Refer to the graph to find the value of g(0)g ( 0 )g(0) .

The graph of f(x)=x2−4f ( x ) = x ^ { 2 } - 4f(x)=x2−4 is the graph of y = x2x ^ { 2 }x2

Let f(x)=−3x+8f ( x ) = - 3 x + 8f(x)=−3x+8 . For what value of x does function fff have the given value? f(x)=−13f ( x ) = - 13f(x)=−13

Plot the point on the rectangular coordinate system, and name the quadrant or axis in which the point lies. (3.5,−3)( 3.5 , - 3 )(3.5,−3)

To graph y=−23x+5y = - \frac { 2 } { 3 } x + 5y=−32​x+5 using the slope and y -intercept,

If a point is midway between two points P and Q , it is called the __________ of segment PQ .

Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form. (2,5);y=4x−7( 2,5 ) ; y = 4 x - 7(2,5);y=4x−7

If the demand equation for a 25-inch television is p=−110q+600p = - \frac { 1 } { 10 } q + 600p=−101​q+600 , where p is the price and q is the number of televisions sold at that price, how many televisions will be sold at a price of $520?

Graph f(x)=−(x−1)2+1f ( x ) = - ( x - 1 ) ^ { 2 } + 1f(x)=−(x−1)2+1 . Give the domain and range.

A Review of Basic Algebra

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Determine whether the given ordered pair is a solution of the equation $5 x - 2 y = - 24$ . (-4,2)

Let $f ( x ) = - 5 x + 8$ . For what value of x does function $f$ have the given value? $f ( x ) = - 7$ x = __________

Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form. $( 2,6 ) ; 5 x - y = 6$

Find an equation of the line that passes through the given point and is perpendicular to the given line. Write the equation in slope-intercept form. $( - 16,4 ) , 4 x = - y - 14$

Determine whether the ordered pair is a solution of the equation. $y = - 3 x - 2$ (-1,5)

Sketch the graph of the associated function, $g ( x ) = | x |$ then draw the graph of the function f using translation and/or a reflection. $f ( x ) = | x - 4 | - 1$

Refer to the graph to find the value of $g ( 0 )$ .

The graph of $f ( x ) = x ^ { 2 } - 4$ is the graph of y = $x ^ { 2 }$

Let $f ( x ) = - 3 x + 8$ . For what value of x does function $f$ have the given value? $f ( x ) = - 13$

Plot the point on the rectangular coordinate system, and name the quadrant or axis in which the point lies. $( 3.5 , - 3 )$

To graph $y = - \frac { 2 } { 3 } x + 5$ using the slope and y -intercept,

Find an equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form. $( 2,5 ) ; y = 4 x - 7$

If the demand equation for a 25-inch television is $p = - \frac { 1 } { 10 } q + 600$ , where p is the price and q is the number of televisions sold at that price, how many televisions will be sold at a price of $520?

Graph $f ( x ) = - ( x - 1 ) ^ { 2 } + 1$ . Give the domain and range. $Graph f ( x ) = - ( x - 1 ) ^ { 2 } + 1 . Give the domain and range.$