Question 1

Graph the linear inequality in two variables.
-$4 x+y \leq-6$

Accepted Answer

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

Question 2

In an inequality, how do you determine which side of the boundary line to shade?

Accepted Answer

Answers may vary. On

Question 3

Solve the problem.
-The table of ordered pairs was generated by a graphing calculator with a table feature. Which equation corresponds to this table of values?

Accepted Answer

A)  $y_{1}=\frac{1}{2} x+3$ 
B)  $y_{1}=-\frac{1}{2} x-3$ 
C)  $y_{1}=-\frac{1}{2} x+3$ 
D)  $\mathrm{y}_{1}=\frac{1}{2} \mathrm{x}-3$ 
A)  $y_{1}=\frac{1}{2} x+3$ 
B)  $y_{1}=-\frac{1}{2} x-3$ 
C)  $y_{1}=-\frac{1}{2} x+3$ 
D)  $\mathrm{y}_{1}=\frac{1}{2} \mathrm{x}-3$

Question 4

To graph a straight line, we must find a minimum of _ points.

Accepted Answer

The answer of To graph a straight line, we must...

Question 5

Find the slope.
-$\mathrm{m}=\frac{-10-(-10)}{7-4}$

Accepted Answer

A)  $-\frac{20}{3}$ 
B)  $\frac{20}{3}$ 
C)  Undefined 
D)  0 
A)  $-\frac{20}{3}$ 
B)  $\frac{20}{3}$ 
C)  Undefined 
D)  0

Question 6

Choose the inequality that best matches the given calculator graph.
-

Accepted Answer

A)  $y \geq 2 x+2$ 
B)  $y \geq-x+1$ 
C)  $y \leq x-1$ 
D)  $y \leq 2 x+2$ 
A)  $y \geq 2 x+2$ 
B)  $y \geq-x+1$ 
C)  $y \leq x-1$ 
D)  $y \leq 2 x+2$

Question 7

Evaluate the function.
-Find $f(-5)$.

Accepted Answer

A)  -2 
B)  -5 
C)  8 
D)  -8 
A)  -2 
B)  -5 
C)  8 
D)  -8

Question 8

Solve the problem.
-The information in the chart gives the salary of a person for the stated years. Use the information for the years 2001 and 2003 to find an equation that models the data. Let $x=1$ represent 2001, $x=3$ represent 2003, and y represent the salary. Write the equation in slope-intercept form. Use this equation to approximate the salary for 2004 to the nearest dollar.

Accepted Answer

A)  $y=-1241 x+23,500 ; \$ 18,536$ 
B)  $y=28.1 x+23,500 ; \$ 23,612.4$ 
C)  $y=1000 x ; \$ 4000$ 
D)  $y=1000 x+23,500 ; \$ 27,500$ 
A)  $y=-1241 x+23,500 ; \$ 18,536$ 
B)  $y=28.1 x+23,500 ; \$ 23,612.4$ 
C)  $y=1000 x ; \$ 4000$ 
D)  $y=1000 x+23,500 ; \$ 27,500$

Question 9

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

Accepted Answer

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

Question 10

Complete the table for the equation.
-$4 x+y=7$

Accepted Answer

A)  $7 ;-21 ;-21$ 
B)  $-9 ;-21 ; 7$ 
C)  $-9 ;-21 ;-21$ 
D)  $7 ; 7 ; 7$ 
A)  $7 ;-21 ;-21$ 
B)  $-9 ;-21 ; 7$ 
C)  $-9 ;-21 ;-21$ 
D)  $7 ; 7 ; 7$

Question 11

Graph the line described.
-Through $(0,5) ; \mathrm{m}=-4$

Accepted Answer

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

Question 12

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer.
  
-$(-3,4)$

Accepted Answer

A)  $B$ 
B)  $\mathrm{K}$ 
C)  $\mathrm{A}$ 
D)  $\mathrm{F}$ 
A)  $B$ 
B)  $\mathrm{K}$ 
C)  $\mathrm{A}$ 
D)  $\mathrm{F}$

Question 13

Solve the problem
-Let $x$ represent the number of pounds of apples sold at $\$ 1.2$ per pound, and let $y$ represent the total price paid for the apples. Write an equation for this situation. Then give the ordered pair with an $\mathrm{x}$-value of 9 associated with this equation.

Accepted Answer

A)  $\mathrm{x}=1.2+\mathrm{y} ;(9,7.80)$ 
B)  $y=1.2 x ;(9,10.80)$ 
C)  $y=1.2+x ;(9,10.20)$ 
D)  $\mathrm{x}=1.2 \mathrm{y} ;(9,7.50)$ 
A)  $\mathrm{x}=1.2+\mathrm{y} ;(9,7.80)$ 
B)  $y=1.2 x ;(9,10.80)$ 
C)  $y=1.2+x ;(9,10.20)$ 
D)  $\mathrm{x}=1.2 \mathrm{y} ;(9,7.50)$

Question 14

Solve the problem
-The mathematical model $C(x)=500 x+30,000$ represents the cost in dollars a company has in manufacturing $x$ items during a month. Based on this, how much does it cost to produce 700 items?

Accepted Answer

A)  $\$ 60.00$ 
B)  $\$ 380,000$ 
C)  $\$ 0.09$ 
D)  $\$ 350,000$ 
A)  $\$ 60.00$ 
B)  $\$ 380,000$ 
C)  $\$ 0.09$ 
D)  $\$ 350,000$

Question 15

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 $Q$.
-$\mathrm{P}\biggl(\frac{9}{2},-\frac{5}{2}\biggl)$ and $M\biggl(1, \frac{1}{2}\biggl)$

Accepted Answer

A)  $Q(16,4)$ 
B)  $Q\biggl(-\frac{5}{2}, \frac{7}{2}\biggl)$ 
C)  $Q\biggl(\frac{7}{2},-3\biggl)$ 
D)  $Q(196,144)$ 
A)  $Q(16,4)$ 
B)  $Q\biggl(-\frac{5}{2}, \frac{7}{2}\biggl)$ 
C)  $Q\biggl(\frac{7}{2},-3\biggl)$ 
D)  $Q(196,144)$

Question 16

Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
-$\biggl(\frac{4}{5},-\frac{2}{3}\biggl)$ and $\biggl(\frac{6}{5},-\frac{1}{2}\biggl)$

Accepted Answer

A)  $\frac{6}{5}$; falls 
B)  $\frac{5}{12}$; rises 
C)  $\frac{3}{5}$; rises 
D)  $\frac{6}{5}$; rises 
A)  $\frac{6}{5}$; falls 
B)  $\frac{5}{12}$; rises 
C)  $\frac{3}{5}$; rises 
D)  $\frac{6}{5}$; rises

Question 17

Find the midpoint of the segment with the given endpoints.
-$(8,4)$ and $(7,9)$

Accepted Answer

A)  $(1,-5)$ 
B)  $\biggl(\frac{15}{2}, \frac{13}{2}\biggl)$ 
C)  $\biggl(\frac{1}{2},-\frac{5}{2}\biggl)$ 
D)  $(15,13)$ 
A)  $(1,-5)$ 
B)  $\biggl(\frac{15}{2}, \frac{13}{2}\biggl)$ 
C)  $\biggl(\frac{1}{2},-\frac{5}{2}\biggl)$ 
D)  $(15,13)$

Question 18

Determine whether the relation defines $y$ as a function of $x$. Give the domain.
-$9 x+4 y>-5$

Accepted Answer

A)  Function; domain: $(-\infty, \infty)$ 
B)  Not a function; domain: $\left(-\frac{5}{4}, \infty\right)$ 
C)  Function; domain: $\left(-\infty, \frac{5}{4}\right)$ 
D)  Not a function; domain: $(-\infty, \infty)$ 
A)  Function; domain: $(-\infty, \infty)$ 
B)  Not a function; domain: $\left(-\frac{5}{4}, \infty\right)$ 
C)  Function; domain: $\left(-\infty, \frac{5}{4}\right)$ 
D)  Not a function; domain: $(-\infty, \infty)$

Question 19

Choose the graph that matches the equation
-$y=2 x+4$

Accepted Answer

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

Question 20

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

Accepted Answer

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

Graph the linear inequality in two variables. - $4 x+y \leq-6$ $Graph the linear inequality in two variables. - 4 x+y \leq-6$

In an inequality, how do you determine which side of the boundary line to shade?

Solve the problem. -The table of ordered pairs was generated by a graphing calculator with a table feature. Which equation corresponds to this table of values?

To graph a straight line, we must find a minimum of _ points.

Find the slope. - $\mathrm{m}=\frac{-10-(-10)}{7-4}$

Choose the inequality that best matches the given calculator graph. -

Evaluate the function. -Find $f(-5)$ .

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

Complete the table for the equation. - $4 x+y=7$

Graph the line described. -Through $(0,5) ; \mathrm{m}=-4$ $Graph the line described. -Through (0,5) ; \mathrm{m}=-4$

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer. - $(-3,4)$

Solve the problem -Let $x$ represent the number of pounds of apples sold at $\$ 1.2$ per pound, and let $y$ represent the total price paid for the apples. Write an equation for this situation. Then give the ordered pair with an $\mathrm{x}$ -value of 9 associated with this equation.

Solve the problem -The mathematical model $C(x)=500 x+30,000$ represents the cost in dollars a company has in manufacturing $x$ items during a month. Based on this, how much does it cost to produce 700 items?

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 $Q$ . - $\mathrm{P}\biggl(\frac{9}{2},-\frac{5}{2}\biggl)$ and $M\biggl(1, \frac{1}{2}\biggl)$

Find the midpoint of the segment with the given endpoints. - $(8,4)$ and $(7,9)$

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $9 x+4 y>-5$

Choose the graph that matches the equation - $y=2 x+4$

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

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

Graph the linear inequality in two variables. - 4x+y≤−64 x+y \leq-64x+y≤−6

In an inequality, how do you determine which side of the boundary line to shade?

Solve the problem. -The table of ordered pairs was generated by a graphing calculator with a table feature. Which equation corresponds to this table of values?

To graph a straight line, we must find a minimum of _ points.

Find the slope. - m=−10−(−10)7−4\mathrm{m}=\frac{-10-(-10)}{7-4}m=7−4−10−(−10)​

Choose the inequality that best matches the given calculator graph. -

Evaluate the function. -Find f(−5)f(-5)f(−5) .

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

Complete the table for the equation. - 4x+y=74 x+y=74x+y=7

Graph the line described. -Through (0,5);m=−4(0,5) ; \mathrm{m}=-4(0,5);m=−4

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer. - (−3,4)(-3,4)(−3,4)

Solve the problem -Let xxx represent the number of pounds of apples sold at $1.2\$ 1.2$1.2 per pound, and let yyy represent the total price paid for the apples. Write an equation for this situation. Then give the ordered pair with an x\mathrm{x}x -value of 9 associated with this equation.

Solve the problem -The mathematical model C(x)=500x+30,000C(x)=500 x+30,000C(x)=500x+30,000 represents the cost in dollars a company has in manufacturing xxx items during a month. Based on this, how much does it cost to produce 700 items?

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(92,−52)\mathrm{P}\biggl(\frac{9}{2},-\frac{5}{2}\biggl)P(29​,−25​) and M(1,12)M\biggl(1, \frac{1}{2}\biggl)M(1,21​)

Find the midpoint of the segment with the given endpoints. - (8,4)(8,4)(8,4) and (7,9)(7,9)(7,9)

Determine whether the relation defines yyy as a function of xxx . Give the domain. - 9x+4y>−59 x+4 y>-59x+4y>−5

Choose the graph that matches the equation - y=2x+4y=2 x+4y=2x+4

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

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

Graph the linear inequality in two variables. - $4 x+y \leq-6$ $Graph the linear inequality in two variables. - 4 x+y \leq-6$

Find the slope. - $\mathrm{m}=\frac{-10-(-10)}{7-4}$

Evaluate the function. -Find $f(-5)$ .

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

Complete the table for the equation. - $4 x+y=7$

Graph the line described. -Through $(0,5) ; \mathrm{m}=-4$ $Graph the line described. -Through (0,5) ; \mathrm{m}=-4$

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer. - $(-3,4)$

Solve the problem -Let $x$ represent the number of pounds of apples sold at $\$ 1.2$ per pound, and let $y$ represent the total price paid for the apples. Write an equation for this situation. Then give the ordered pair with an $\mathrm{x}$ -value of 9 associated with this equation.

Solve the problem -The mathematical model $C(x)=500 x+30,000$ represents the cost in dollars a company has in manufacturing $x$ items during a month. Based on this, how much does it cost to produce 700 items?

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 $Q$ . - $\mathrm{P}\biggl(\frac{9}{2},-\frac{5}{2}\biggl)$ and $M\biggl(1, \frac{1}{2}\biggl)$

Find the midpoint of the segment with the given endpoints. - $(8,4)$ and $(7,9)$

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $9 x+4 y>-5$

Choose the graph that matches the equation - $y=2 x+4$

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