Question 1

Determine the quadrants in which the given point ( $x, y)$ may lie when $x y>0$.

Accepted Answer

A)  II or III 
B)  I or II 
C)  I or III 
D)  II or IV 
A)  II or III 
B)  I or II 
C)  I or III 
D)  II or IV

Question 2

Find an equation of the line that satisfies the conditions. Write the equation in standard form.
-Through $\biggl(\frac{1}{2}, \frac{2}{3}\biggl)$; vertical

Accepted Answer

A)  $y=\frac{2}{3}$ 
B)  $x=\frac{2}{3}$ 
C)  $x=\frac{1}{2}$ 
D)  $y=\frac{1}{2}$ 
A)  $y=\frac{2}{3}$ 
B)  $x=\frac{2}{3}$ 
C)  $x=\frac{1}{2}$ 
D)  $y=\frac{1}{2}$

Question 3

Identify whether the slope is
-

Accepted Answer

A)  Negative 
B)  Undefined 
C)  Zero 
D)  Positive 
A)  Negative 
B)  Undefined 
C)  Zero 
D)  Positive

Question 4

Name the quadrant, if any, in which the point is located.
-$(-20,9)$

Accepted Answer

A)  I 
B)  None 
C)  II 
D)  III 
A)  I 
B)  None 
C)  II 
D)  III

Question 5

Find the $x$ - and $y$-intercepts, and graph the equation.
-$2 x-4 y=-8$

Accepted Answer

A)  $(0,-4),(2,0)$
  
B)  $(0,2),(4,0)$
  
C)  $(0,-2),(-4,0)$
  
D)  $(0,2),(-4,0)$
  
A)  $(0,-4),(2,0)$
  
B)  $(0,2),(4,0)$
  
C)  $(0,-2),(-4,0)$
  
D)  $(0,2),(-4,0)$

Question 6

Suppose that segment $P Q$ has the given coordinates for one endpoint $P$ and for its midpoint $M$. Find the coordinates of the other endpoint $Q$.
-$\mathrm{P}(4,8)$ and $M\biggl(\frac{1}{2}, \frac{5}{2}\biggl)$

Accepted Answer

A)  $Q(-3,-3)$ 
B)  $Q(1,5)$ 
C)  $Q\biggl(-\frac{7}{2},-\frac{11}{2}\biggl)$ 
D)  $Q(-7,-11)$ 
A)  $Q(-3,-3)$ 
B)  $Q(1,5)$ 
C)  $Q\biggl(-\frac{7}{2},-\frac{11}{2}\biggl)$ 
D)  $Q(-7,-11)$

Question 7

Find the average rate of change illustrated in the graph.
-

Accepted Answer

A)  $\$ 4000.00$ per year 
B)  $-\$ 4000.00$ per year 
C)  $-\$ 5000.00$ per year 
D)  $\$ 5000.00$ per year 
A)  $\$ 4000.00$ per year 
B)  $-\$ 4000.00$ per year 
C)  $-\$ 5000.00$ per year 
D)  $\$ 5000.00$ per year

Question 8

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer.
  
-$(0,-3)$

Accepted Answer

A)  C 
B)  I 
C)  $\mathrm{G}$ 
D)  J 
A)  C 
B)  I 
C)  $\mathrm{G}$ 
D)  J

Question 9

Decide whether the relation is a function, and give the domain and range.
-

Accepted Answer

A)  Not a function; domain: $(-\infty, 0) \cup(0, \infty)$; range: $(-\infty, \infty)$ 
B)  Function; domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$ 
C)  Not a function; domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$ 
D)  Function; domain: $(-\infty, 0) \cup(0, \infty)$; range: $(-\infty, \infty)$ 
A)  Not a function; domain: $(-\infty, 0) \cup(0, \infty)$; range: $(-\infty, \infty)$ 
B)  Function; domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$ 
C)  Not a function; domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$ 
D)  Function; domain: $(-\infty, 0) \cup(0, \infty)$; range: $(-\infty, \infty)$

Question 10

Solve the problem.
-Find $f(a)$ when $f(x)=-x^{2}-4 x-6$.

Accepted Answer

A)  $2 a$ 
B)  $a^{2} - 4a - 6$ 
C)  $-a^{2} - 4a$ 
D)  $-a^{2} - 4a - 6$ 
A)  $2 a$ 
B)  $a^{2} - 4a - 6$ 
C)  $-a^{2} - 4a$ 
D)  $-a^{2} - 4a - 6$

Question 11

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form.
-Through $(-6,5)$; parallel to $-7 x+5 y=57$

Accepted Answer

A)  $y=-\frac{7}{5} x-\frac{67}{5}$ 
B)  $y=\frac{7}{5} x+\frac{67}{5}$ 
C)  $y=-\frac{5}{7} x-\frac{30}{7}$ 
D)  $y=\frac{5}{7} x+\frac{30}{7}$ 
A)  $y=-\frac{7}{5} x-\frac{67}{5}$ 
B)  $y=\frac{7}{5} x+\frac{67}{5}$ 
C)  $y=-\frac{5}{7} x-\frac{30}{7}$ 
D)  $y=\frac{5}{7} x+\frac{30}{7}$

Question 12

Decide whether the relation is a function.
-$\{(-5,-6),(-3,-1),(-1,-1),(-1,7)\}$

Accepted Answer

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

Question 13

Solve the problem.
-The graphing calculator screen shows the graph of one of the equations below. Which equation is it?

Accepted Answer

A)  $x+y=5$ 
B)  $x-y=-1$ 
C)  $y-x=1$ 
D)  $y=3$ 
A)  $x+y=5$ 
B)  $x-y=-1$ 
C)  $y-x=1$ 
D)  $y=3$

Question 14

Evaluate the function.
-Find $f(0)$ if $f=\{(-2,3),(3,0),(0,5),(5,-2)\}$

Accepted Answer

A)  3 
B)  $(5,3)$ 
C)  5 
D)  None of these 
A)  3 
B)  $(5,3)$ 
C)  5 
D)  None of these

Question 15

Graph the compound inequality.
-$2 x+y5$

Accepted Answer

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

Question 16

Which one of the following is the graph of a function?

Accepted Answer

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

Question 17

Graph the linear function. Give the domain and range.
-$g(x)=x+5$

Accepted Answer

A)  Domain: $(-\infty, \infty)$
Range: $(-\infty, \infty)$
  
B)  Domain: $(-\infty, \infty)$
Range: $(-\infty, \infty)$
  
A)  Domain: $(-\infty, \infty)$
Range: $(-\infty, \infty)$
  
B)  Domain: $(-\infty, \infty)$
Range: $(-\infty, \infty)$

Question 18

Complete the table for the equation.
-$y=-9 x-65$

Accepted Answer

A)  $7 ; 0 ; 1$ 
B)  $-8 ;-65 ; 1$ 
C)  $7 ;-65 ; 1$ 
D)  $7 ;-79 ; 1$ 
A)  $7 ; 0 ; 1$ 
B)  $-8 ;-65 ; 1$ 
C)  $7 ;-65 ; 1$ 
D)  $7 ;-79 ; 1$

Question 19

Decide whether the pair of lines is parallel, perpendicular, or neither.
-$4 x+y=-7$ and $5 y=30 x-8$

Accepted Answer

A)  Parallel 
B)  Perpendicular 
C)  Neither 
A)  Parallel 
B)  Perpendicular 
C)  Neither

Question 20

Solve the problem.
-The graphing calculator screens show the graph of one of the equations below. Which equation is it?

Accepted Answer

A)  $-2 x+3 y=-6$ 
B)  $2 x-3 y=6$ 
C)  $3 x-2 y=-6$ 
D)  $-2 x+3 y=6$ 
A)  $-2 x+3 y=-6$ 
B)  $2 x-3 y=6$ 
C)  $3 x-2 y=-6$ 
D)  $-2 x+3 y=6$

Determine the quadrants in which the given point ( $x, y)$ may lie when $x y>0$ .

Find an equation of the line that satisfies the conditions. Write the equation in standard form. -Through $\biggl(\frac{1}{2}, \frac{2}{3}\biggl)$ ; vertical

Identify whether the slope is -

Name the quadrant, if any, in which the point is located. - $(-20,9)$

Find the $x$ - and $y$ -intercepts, and graph the equation. - $2 x-4 y=-8$

Suppose that segment $P Q$ has the given coordinates for one endpoint $P$ and for its midpoint $M$ . Find the coordinates of the other endpoint $Q$ . - $\mathrm{P}(4,8)$ and $M\biggl(\frac{1}{2}, \frac{5}{2}\biggl)$

Find the average rate of change illustrated in the graph. -

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer. - $(0,-3)$

Decide whether the relation is a function, and give the domain and range. -

Solve the problem. -Find $f(a)$ when $f(x)=-x^{2}-4 x-6$ .

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. -Through $(-6,5)$ ; parallel to $-7 x+5 y=57$

Decide whether the relation is a function. - $\{(-5,-6),(-3,-1),(-1,-1),(-1,7)\}$

Solve the problem. -The graphing calculator screen shows the graph of one of the equations below. Which equation is it?

Evaluate the function. -Find $f(0)$ if $f=\{(-2,3),(3,0),(0,5),(5,-2)\}$

Graph the compound inequality. - $2 x+y<6$ or $3 x-2 y>5$

Which one of the following is the graph of a function?

Graph the linear function. Give the domain and range. - $g(x)=x+5$

Complete the table for the equation. - $y=-9 x-65$

Decide whether the pair of lines is parallel, perpendicular, or neither. - $4 x+y=-7$ and $5 y=30 x-8$

Solve the problem. -The graphing calculator screens show the graph of one of the equations below. Which equation is it?

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 3: Linear Equations, Graphs, and Functions

Determine the quadrants in which the given point ( x,y)x, y)x,y) may lie when xy>0x y>0xy>0 .

Find an equation of the line that satisfies the conditions. Write the equation in standard form. -Through (12,23)\biggl(\frac{1}{2}, \frac{2}{3}\biggl)(21​,32​) ; vertical

Identify whether the slope is -

Name the quadrant, if any, in which the point is located. - (−20,9)(-20,9)(−20,9)

Find the xxx - and yyy -intercepts, and graph the equation. - 2x−4y=−82 x-4 y=-82x−4y=−8

Suppose that segment PQP QPQ has the given coordinates for one endpoint PPP and for its midpoint MMM . Find the coordinates of the other endpoint QQQ . - P(4,8)\mathrm{P}(4,8)P(4,8) and M(12,52)M\biggl(\frac{1}{2}, \frac{5}{2}\biggl)M(21​,25​)

Find the average rate of change illustrated in the graph. -

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer. - (0,−3)(0,-3)(0,−3)

Decide whether the relation is a function, and give the domain and range. -

Solve the problem. -Find f(a)f(a)f(a) when f(x)=−x2−4x−6f(x)=-x^{2}-4 x-6f(x)=−x2−4x−6 .

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. -Through (−6,5)(-6,5)(−6,5) ; parallel to −7x+5y=57-7 x+5 y=57−7x+5y=57

Decide whether the relation is a function. - {(−5,−6),(−3,−1),(−1,−1),(−1,7)}\{(-5,-6),(-3,-1),(-1,-1),(-1,7)\}{(−5,−6),(−3,−1),(−1,−1),(−1,7)}

Solve the problem. -The graphing calculator screen shows the graph of one of the equations below. Which equation is it?

Evaluate the function. -Find f(0)f(0)f(0) if f={(−2,3),(3,0),(0,5),(5,−2)}f=\{(-2,3),(3,0),(0,5),(5,-2)\}f={(−2,3),(3,0),(0,5),(5,−2)}

Graph the compound inequality. - 2x+y<62 x+y<62x+y<6 or 3x−2y>53 x-2 y>53x−2y>5

Which one of the following is the graph of a function?

Graph the linear function. Give the domain and range. - g(x)=x+5g(x)=x+5g(x)=x+5

Complete the table for the equation. - y=−9x−65y=-9 x-65y=−9x−65

Decide whether the pair of lines is parallel, perpendicular, or neither. - 4x+y=−74 x+y=-74x+y=−7 and 5y=30x−85 y=30 x-85y=30x−8

Solve the problem. -The graphing calculator screens show the graph of one of the equations below. Which equation is it?

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Determine the quadrants in which the given point ( $x, y)$ may lie when $x y>0$ .

Find an equation of the line that satisfies the conditions. Write the equation in standard form. -Through $\biggl(\frac{1}{2}, \frac{2}{3}\biggl)$ ; vertical

Name the quadrant, if any, in which the point is located. - $(-20,9)$

Find the $x$ - and $y$ -intercepts, and graph the equation. - $2 x-4 y=-8$

Suppose that segment $P Q$ has the given coordinates for one endpoint $P$ and for its midpoint $M$ . Find the coordinates of the other endpoint $Q$ . - $\mathrm{P}(4,8)$ and $M\biggl(\frac{1}{2}, \frac{5}{2}\biggl)$

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer. - $(0,-3)$

Solve the problem. -Find $f(a)$ when $f(x)=-x^{2}-4 x-6$ .

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. -Through $(-6,5)$ ; parallel to $-7 x+5 y=57$

Decide whether the relation is a function. - $\{(-5,-6),(-3,-1),(-1,-1),(-1,7)\}$

Evaluate the function. -Find $f(0)$ if $f=\{(-2,3),(3,0),(0,5),(5,-2)\}$

Graph the compound inequality. - $2 x+y<6$ or $3 x-2 y>5$

Graph the linear function. Give the domain and range. - $g(x)=x+5$

Complete the table for the equation. - $y=-9 x-65$

Decide whether the pair of lines is parallel, perpendicular, or neither. - $4 x+y=-7$ and $5 y=30 x-8$