Question 1

Graph the linear inequality in two variables.
-$-3 x-4 y \leq 12$

Accepted Answer

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

Question 2

Decide whether the relation is a function.
-$\{(-9,3),(-9,5),(1,5),(6,-2),(9,-7)\}$

Accepted Answer

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

Question 3

The graph of the linear equation $y 1$ is shown on a graphing calculator screen, along with the $x$-value of the $x$-intercept of the line. Use the screen to solve the following equation or inequality.
-$y_{1}<0$

Accepted Answer

A)  $(-3, \infty)$ 
B)  $(0, \infty)$ 
C)  $(-\infty, 0)$ 
D)  $(-\infty,-3)$ 
A)  $(-3, \infty)$ 
B)  $(0, \infty)$ 
C)  $(-\infty, 0)$ 
D)  $(-\infty,-3)$

Question 4

Decide whether the pair of lines is parallel, perpendicular, or neither.
-$y+11=-4 x$ and $5 y=15 x-11$

Accepted Answer

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

Question 5

Decide whether the relation is a function.
-$\{(-8,-4),(-4,-8),(1,6),(2,-2)\}$

Accepted Answer

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

Question 6

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.
-$(-3,-5)$ and $(4,-4)$

Accepted Answer

A)  7; rises 
B)  $-\frac{1}{7}$; falls 
C)  $\frac{1}{7}$; rises 
D)  - 7; falls 
A)  7; rises 
B)  $-\frac{1}{7}$; falls 
C)  $\frac{1}{7}$; rises 
D)  - 7; falls

Question 7

Graph the line described.
-Through $(7,1) ; \mathrm{m}=0$

Accepted Answer

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

Question 8

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question
  
-Estimate the sales in June 2006.

Accepted Answer

A)  about $\$ 64$ thousand 
B)  about $\$ 48$ thousand 
C)  about $\$ 52$ thousand 
D)  about $\$ 50$ thousand 
A)  about $\$ 64$ thousand 
B)  about $\$ 48$ thousand 
C)  about $\$ 52$ thousand 
D)  about $\$ 50$ thousand

Question 9

Find the equation in slope-intercept form of the line satisfying the conditions.
-$\mathrm{m}=\frac{9}{2} ;$ through $(0,-15)$

Accepted Answer

A)  $y=\frac{9}{2} x+15$ 
B)  $y=-\frac{9}{2} x-15$ 
C)  $y=-\frac{9}{2} x+15$ 
D)  $y=\frac{9}{2} x-15$ 
A)  $y=\frac{9}{2} x+15$ 
B)  $y=-\frac{9}{2} x-15$ 
C)  $y=-\frac{9}{2} x+15$ 
D)  $y=\frac{9}{2} x-15$

Question 10

Evaluate the function.
-The graph of $y=f(x)$ is shown below. Find $f(3)$

Accepted Answer

A)  -7 
B)  3 
C)  7 
D)  4 
A)  -7 
B)  3 
C)  7 
D)  4

Question 11

Graph the linear inequality in two variables.
-$2 x+5 y \leq 10$

Accepted Answer

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

Question 12

Graph the linear inequality in two variables.
-$x-y>-6$

Accepted Answer

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

Question 13

Decide whether the relation is a function.
-

Accepted Answer

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

Question 14

How is the graph of a line with a slope equal to 0 situated in a rectangular coordinate system?

Accepted Answer

A)  It is a vertical line. 
B)  It is not a line. 
C)  It is an oblique line. 
D)  It is a horizontal line. 
A)  It is a vertical line. 
B)  It is not a line. 
C)  It is an oblique line. 
D)  It is a horizontal line.

Question 15

Find the slope.
-$m=\frac{13-3}{7-5}$

Accepted Answer

A)  -5 
B)  8 
C)  5 
D)  12 
A)  -5 
B)  8 
C)  5 
D)  12

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.
-$(2.3,-3.5)$ and $(3.9,3.3)$

Accepted Answer

A)  $\frac{4}{17}$; rises 
B)  $-\frac{17}{4}$; falls 
C)  $-\frac{4}{17}$ falls 
D)  $\frac{17}{4}$; rises 
A)  $\frac{4}{17}$; rises 
B)  $-\frac{17}{4}$; falls 
C)  $-\frac{4}{17}$ falls 
D)  $\frac{17}{4}$; rises

Question 17

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

Accepted Answer

A)  $y=3 x+3$ 
B)  $y+3 x=3$ 
C)  $y-3 x=15$ 
D)  $y+3 x=15$ 
A)  $y=3 x+3$ 
B)  $y+3 x=3$ 
C)  $y-3 x=15$ 
D)  $y+3 x=15$

Question 18

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question
  
-If the ordered pair $(x, y)$ represents a point on the graph, what does $x$ represent? What does $y$ represent?

Accepted Answer

A)  $y$ represents the month; $x$ represents the sales in thousands of dollars. 
B)  $x$ represents the month; $y$ represents the sales in thousands of dollars. 
C)  $x$ represents the year 2006; y represents the sales in thousands of dollars 
D)  $x$ represents the year 2006; y represents the year 2007 . 
A)  $y$ represents the month; $x$ represents the sales in thousands of dollars. 
B)  $x$ represents the month; $y$ represents the sales in thousands of dollars. 
C)  $x$ represents the year 2006; y represents the sales in thousands of dollars 
D)  $x$ represents the year 2006; y represents the year 2007 .

Question 19

An equation that defines $y$ as a function of $x$ is given. Solve for $y$ in terms of $x$, and replace $y$ with the function notation $\mathbf{f}(\mathbf{x})$.
-$5 x-6 y=5$

Accepted Answer

A)  $f(x)=5-5 x$ 
B)  $f(x)=5-\frac{5 x}{6}$ 
C)  $f(x)=-5 x-\frac{5}{6}$ 
D)  $f(x)=\frac{5-5 x}{-6}$ 
A)  $f(x)=5-5 x$ 
B)  $f(x)=5-\frac{5 x}{6}$ 
C)  $f(x)=-5 x-\frac{5}{6}$ 
D)  $f(x)=\frac{5-5 x}{-6}$

Question 20

Solve the problem. Round your answer, as needed.
-The rate of return of certain investments increases as the risk factor of the investment increases. An investment with a risk factor of 2 has a rate of return of $5.0 \%$. An investment with a risk factor of 25 has a rate of return of $15.0 \%$. What is the average rate of return per unit of risk?

Accepted Answer

A)  $0.43 \%$ per unit risk 
B)  $2.30 \%$ per unit risk 
C)  $0.65 \%$ per unit risk 
D)  $1.54 \%$ per unit risk 
A)  $0.43 \%$ per unit risk 
B)  $2.30 \%$ per unit risk 
C)  $0.65 \%$ per unit risk 
D)  $1.54 \%$ per unit risk

Graph the linear inequality in two variables. - $-3 x-4 y \leq 12$ $Graph the linear inequality in two variables. - -3 x-4 y \leq 12$

Decide whether the relation is a function. - $\{(-9,3),(-9,5),(1,5),(6,-2),(9,-7)\}$

Decide whether the pair of lines is parallel, perpendicular, or neither. - $y+11=-4 x$ and $5 y=15 x-11$

Decide whether the relation is a function. - $\{(-8,-4),(-4,-8),(1,6),(2,-2)\}$

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. - $(-3,-5)$ and $(4,-4)$

Graph the line described. -Through $(7,1) ; \mathrm{m}=0$ $Graph the line described. -Through (7,1) ; \mathrm{m}=0$

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -Estimate the sales in June 2006.

Find the equation in slope-intercept form of the line satisfying the conditions. - $\mathrm{m}=\frac{9}{2} ;$ through $(0,-15)$

Evaluate the function. -The graph of $y=f(x)$ is shown below. Find $f(3)$

Graph the linear inequality in two variables. - $2 x+5 y \leq 10$ $Graph the linear inequality in two variables. - 2 x+5 y \leq 10$

Graph the linear inequality in two variables. - $x-y>-6$

Decide whether the relation is a function. -

How is the graph of a line with a slope equal to 0 situated in a rectangular coordinate system?

Find the slope. - $m=\frac{13-3}{7-5}$

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. - $(2.3,-3.5)$ and $(3.9,3.3)$

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

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -If the ordered pair $(x, y)$ represents a point on the graph, what does $x$ represent? What does $y$ represent?

An equation that defines $y$ as a function of $x$ is given. Solve for $y$ in terms of $x$ , and replace $y$ with the function notation $\mathbf{f}(\mathbf{x})$ . - $5 x-6 y=5$

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. - −3x−4y≤12-3 x-4 y \leq 12−3x−4y≤12

Decide whether the relation is a function. - {(−9,3),(−9,5),(1,5),(6,−2),(9,−7)}\{(-9,3),(-9,5),(1,5),(6,-2),(9,-7)\}{(−9,3),(−9,5),(1,5),(6,−2),(9,−7)}

The graph of the linear equation y1y 1y1 is shown on a graphing calculator screen, along with the xxx -value of the xxx -intercept of the line. Use the screen to solve the following equation or inequality. - y1<0y_{1}<0y1​<0

Decide whether the pair of lines is parallel, perpendicular, or neither. - y+11=−4xy+11=-4 xy+11=−4x and 5y=15x−115 y=15 x-115y=15x−11

Decide whether the relation is a function. - {(−8,−4),(−4,−8),(1,6),(2,−2)}\{(-8,-4),(-4,-8),(1,6),(2,-2)\}{(−8,−4),(−4,−8),(1,6),(2,−2)}

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. - (−3,−5)(-3,-5)(−3,−5) and (4,−4)(4,-4)(4,−4)

Graph the line described. -Through (7,1);m=0(7,1) ; \mathrm{m}=0(7,1);m=0

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -Estimate the sales in June 2006.

Find the equation in slope-intercept form of the line satisfying the conditions. - m=92;\mathrm{m}=\frac{9}{2} ;m=29​; through (0,−15)(0,-15)(0,−15)

Evaluate the function. -The graph of y=f(x)y=f(x)y=f(x) is shown below. Find f(3)f(3)f(3)

Graph the linear inequality in two variables. - 2x+5y≤102 x+5 y \leq 102x+5y≤10

Graph the linear inequality in two variables. - x−y>−6x-y>-6x−y>−6

Decide whether the relation is a function. -

How is the graph of a line with a slope equal to 0 situated in a rectangular coordinate system?

Find the slope. - m=13−37−5m=\frac{13-3}{7-5}m=7−513−3​

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. - (2.3,−3.5)(2.3,-3.5)(2.3,−3.5) and (3.9,3.3)(3.9,3.3)(3.9,3.3)

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

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -If the ordered pair (x,y)(x, y)(x,y) represents a point on the graph, what does xxx represent? What does yyy represent?

An equation that defines yyy as a function of xxx is given. Solve for yyy in terms of xxx , and replace yyy with the function notation f(x)\mathbf{f}(\mathbf{x})f(x) . - 5x−6y=55 x-6 y=55x−6y=5

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. - $-3 x-4 y \leq 12$ $Graph the linear inequality in two variables. - -3 x-4 y \leq 12$

Decide whether the relation is a function. - $\{(-9,3),(-9,5),(1,5),(6,-2),(9,-7)\}$

Decide whether the pair of lines is parallel, perpendicular, or neither. - $y+11=-4 x$ and $5 y=15 x-11$

Decide whether the relation is a function. - $\{(-8,-4),(-4,-8),(1,6),(2,-2)\}$

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. - $(-3,-5)$ and $(4,-4)$

Graph the line described. -Through $(7,1) ; \mathrm{m}=0$ $Graph the line described. -Through (7,1) ; \mathrm{m}=0$

Find the equation in slope-intercept form of the line satisfying the conditions. - $\mathrm{m}=\frac{9}{2} ;$ through $(0,-15)$

Evaluate the function. -The graph of $y=f(x)$ is shown below. Find $f(3)$

Graph the linear inequality in two variables. - $2 x+5 y \leq 10$ $Graph the linear inequality in two variables. - 2 x+5 y \leq 10$

Graph the linear inequality in two variables. - $x-y>-6$

Find the slope. - $m=\frac{13-3}{7-5}$

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. - $(2.3,-3.5)$ and $(3.9,3.3)$

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -If the ordered pair $(x, y)$ represents a point on the graph, what does $x$ represent? What does $y$ represent?

An equation that defines $y$ as a function of $x$ is given. Solve for $y$ in terms of $x$ , and replace $y$ with the function notation $\mathbf{f}(\mathbf{x})$ . - $5 x-6 y=5$