Question 1

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form.
-Through $(-3,5) ; \mathrm{m}=-8$

Accepted Answer

A)  (a) $y=-8 x-19$
(b) $8 \mathrm{x}+\mathrm{y}=19$ 
B)  (a) $y=-8 x+26$
(b) $8 x+y=26$ 
C)  (a) $y=8 x-17$
(b) $-8 x+y=-17$ 
D)  (a) $y=-8 x-19$
(b) $8 x+y=-19$ 
A)  (a) $y=-8 x-19$
(b) $8 \mathrm{x}+\mathrm{y}=19$ 
B)  (a) $y=-8 x+26$
(b) $8 x+y=26$ 
C)  (a) $y=8 x-17$
(b) $-8 x+y=-17$ 
D)  (a) $y=-8 x-19$
(b) $8 x+y=-19$

Question 2

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$4 x-5 y=-20 ;(0, \quad),( \quad,0),(-1, \quad),( \quad,2)$

Accepted Answer

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

Question 3

Evaluate the function.
-Find $f(4)$.

Accepted Answer

A)  0 
B)  64 
C)  4 
D)  1 
A)  0 
B)  64 
C)  4 
D)  1

Question 4

Graph the linear function. What is its domain and range?
-$f(x)=\frac{5}{4}x - 2$

Accepted Answer

A)  Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$
  
B)  Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$
  
C)  Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$
  
D)  Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$
  
A)  Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$
  
B)  Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$
  
C)  Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$
  
D)  Domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$

Question 5

Find the slope and the $y$-intercept of the line.
-$4 x-5 y=5$

Accepted Answer

A)  Slope -1; y-intercept $(0,-1)$ 
B)  Slope 1; y-intercept $(0,1)$ 
C)  Slope $-\frac{4}{5} ; y$-intercept $(0,1)$ 
D)  Slope $\frac{4}{5} ; y$-intercept $(0,-1)$ 
A)  Slope -1; y-intercept $(0,-1)$ 
B)  Slope 1; y-intercept $(0,1)$ 
C)  Slope $-\frac{4}{5} ; y$-intercept $(0,1)$ 
D)  Slope $\frac{4}{5} ; y$-intercept $(0,-1)$

Question 6

Find the $x$ - and $y$-intercepts. Then graph the equation.
-$3x -18 y=0$

Accepted Answer

A)  $ (0,0) ;(0,0) $
  
B)  $ (0,0) ;(0,0) $
  
C)  $ (0,0) ;(0,0) $
  
D)  $ (0,0) ;(0,0) $
  
A)  $ (0,0) ;(0,0) $
  
B)  $ (0,0) ;(0,0) $
  
C)  $ (0,0) ;(0,0) $
  
D)  $ (0,0) ;(0,0) $

Question 7

Find the slope of the line through the pair of points.
-$(2,-9)$ and $(6,-8)$

Accepted Answer

A)  4 
B)  $-\frac{1}{4}$ 
C)  $\frac{1}{4}$ 
D)  -4 
A)  4 
B)  $-\frac{1}{4}$ 
C)  $\frac{1}{4}$ 
D)  -4

Question 8

Complete the table for the equation.
-$x+y=6$

Accepted Answer

A)  $4 ; 6 ; 0$ 
B)  $8 ; 0 ; 6$ 
C)  $2 ; 0 ; 6$ 
D)  $2 ; 2 ; 6$ 
A)  $4 ; 6 ; 0$ 
B)  $8 ; 0 ; 6$ 
C)  $2 ; 0 ; 6$ 
D)  $2 ; 2 ; 6$

Question 9

Find an equation of the line that satisfies the conditions. Write the equation in standard form.
-$\mathrm{x}$-intercept $(-8,0) ; \mathrm{m}=-6$

Accepted Answer

A)  $6 x+y=-48$ 
B)  $-8 x+y=-6$ 
C)  $6 x-y=8$ 
D)  $8 x+y=-6$ 
A)  $6 x+y=-48$ 
B)  $-8 x+y=-6$ 
C)  $6 x-y=8$ 
D)  $8 x+y=-6$

Question 10

Find an equation of the line passing through the two points. Write the equation in standard form.
-$(10,9)$ and $(10,1)$

Accepted Answer

A)  $x+y=19$ 
B)  $x+y=11$ 
C)  $x=10$ 
D)  $y=9$ 
A)  $x+y=19$ 
B)  $x+y=11$ 
C)  $x=10$ 
D)  $y=9$

Question 11

Find the slope.
-$m=\frac{4-2}{9-4}$

Accepted Answer

A)  0 
B)  $\frac{2}{5}$ 
C)  Undefined 
D)  $\frac{6}{5}$ 
A)  0 
B)  $\frac{2}{5}$ 
C)  Undefined 
D)  $\frac{6}{5}$

Question 12

Decide whether the pair of lines is parallel, perpendicular, or neither.
-$12x + 4 y=16$ and $27 x+9 y=37$

Accepted Answer

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

Question 13

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question
  
-What month in 2007 had the lowest sales?

Accepted Answer

A)  Month 2 
B)  Month 5 
C)  Month 12 
D)  Month 3 
A)  Month 2 
B)  Month 5 
C)  Month 12 
D)  Month 3

Question 14

Graph the compound inequality.
-$3 x+5 y \geq 3$ or $y \geq 3$

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Solve the problem.
-Suppose $f(x)=m x+b$ is a mathematical model for actual time as a function of estimated time, where $f(x)$ represents actual time (in minutes), $x$ represents estimated time (in minutes), and $m$ and $\mathrm{b}$ are constants. If $\mathrm{m}=2$ and $\mathrm{b}=-2.6$, find $f(x)$ when $\mathrm{x}$ is 120 minutes.

Accepted Answer

A)  $242.6 \mathrm{~min}$ 
B)  $125.2 \mathrm{~min}$ 
C)  $114.8 \mathrm{~min}$ 
D)  $237.4 \mathrm{~min}$ 
A)  $242.6 \mathrm{~min}$ 
B)  $125.2 \mathrm{~min}$ 
C)  $114.8 \mathrm{~min}$ 
D)  $237.4 \mathrm{~min}$

Question 17

Find the $x$ - and $y$-intercepts. Then graph the equation.
-$\frac{11}{5} x+\frac{1}{5} y=1$

Accepted Answer

A)  $ \left(-\frac{5}{11}, 0\right) ;(0,5) $
  
B)  $ \left(\frac{5}{11}, 0\right) ;(0,5) $
  
C)  $ \left(-\frac{5}{11}, 0\right) ;(0,-5) $
  
D)  $ \left(\frac{5}{11}, 0\right) ;(0,-5) $
  
A)  $ \left(-\frac{5}{11}, 0\right) ;(0,5) $
  
B)  $ \left(\frac{5}{11}, 0\right) ;(0,5) $
  
C)  $ \left(-\frac{5}{11}, 0\right) ;(0,-5) $
  
D)  $ \left(\frac{5}{11}, 0\right) ;(0,-5) $

Question 18

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 $\mathbf{f}(\mathbf{x})$.
-$9 x^{2}+7 y=6$

Accepted Answer

A)  $f(x)=6-9 x^{2}$ 
B)  $f(x)=\frac{6-9 x^{2}}{7}$ 
C)  $f(x)=-9 x^{2}+\frac{6}{7}$ 
D)  $f(x)=\frac{6+9 x^{2}}{7}$ 
A)  $f(x)=6-9 x^{2}$ 
B)  $f(x)=\frac{6-9 x^{2}}{7}$ 
C)  $f(x)=-9 x^{2}+\frac{6}{7}$ 
D)  $f(x)=\frac{6+9 x^{2}}{7}$

Question 19

Which one of the following has positive slope and negative $y$-coordinate for its $y$-intercept?

Accepted Answer

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

Question 20

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form.
-Through $(-1,15)$ and parallel to $9 x - 2 y=-23$

Accepted Answer

A)  (a) $y=\frac{2}{9} x+\frac{5}{3}$
(b) $-2 x+9 y=-15$ 
B)  (a) $y=\frac{9}{2} x+\frac{39}{2}$
(b) $9 x-2 y=-39$ 
C)  (a) $y=-\frac{9}{2} x-\frac{39}{2}$
(b) $-9 x-2 y=39$ 
D)  (a) $y=-\frac{1}{2} x+\frac{23}{2}$
(b) $-1 x-2 y=-23$ 
A)  (a) $y=\frac{2}{9} x+\frac{5}{3}$
(b) $-2 x+9 y=-15$ 
B)  (a) $y=\frac{9}{2} x+\frac{39}{2}$
(b) $9 x-2 y=-39$ 
C)  (a) $y=-\frac{9}{2} x-\frac{39}{2}$
(b) $-9 x-2 y=39$ 
D)  (a) $y=-\frac{1}{2} x+\frac{23}{2}$
(b) $-1 x-2 y=-23$

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through $(-3,5) ; \mathrm{m}=-8$

Graph the equation by determining the missing values needed to plot the ordered pairs. - $4 x-5 y=-20 ;(0, \quad),( \quad,0),(-1, \quad),( \quad,2)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - 4 x-5 y=-20 ;(0, \quad),( \quad,0),(-1, \quad),( \quad,2)$

Evaluate the function. -Find $f(4)$ .

Graph the linear function. What is its domain and range? - $f(x)=\frac{5}{4}x - 2$ $Graph the linear function. What is its domain and range? - f(x)=\frac{5}{4}x - 2$

Find the slope and the $y$ -intercept of the line. - $4 x-5 y=5$

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $3x -18 y=0$

Find the slope of the line through the pair of points. - $(2,-9)$ and $(6,-8)$

Complete the table for the equation. - $x+y=6$

Find an equation of the line that satisfies the conditions. Write the equation in standard form. - $\mathrm{x}$ -intercept $(-8,0) ; \mathrm{m}=-6$

Find an equation of the line passing through the two points. Write the equation in standard form. - $(10,9)$ and $(10,1)$

Find the slope. - $m=\frac{4-2}{9-4}$

Decide whether the pair of lines is parallel, perpendicular, or neither. - $12x + 4 y=16$ and $27 x+9 y=37$

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -What month in 2007 had the lowest sales?

Graph the compound inequality. - $3 x+5 y \geq 3$ or $y \geq 3$ $Graph the compound inequality. - 3 x+5 y \geq 3 or y \geq 3$

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

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $\frac{11}{5} x+\frac{1}{5} y=1$ $Find the x - and y -intercepts. Then graph the equation. - \frac{11}{5} x+\frac{1}{5} y=1$

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 $\mathbf{f}(\mathbf{x})$ . - $9 x^{2}+7 y=6$

Which one of the following has positive slope and negative $y$ -coordinate for its $y$ -intercept?

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through $(-1,15)$ and parallel to $9 x - 2 y=-23$

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

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through (−3,5);m=−8(-3,5) ; \mathrm{m}=-8(−3,5);m=−8

Graph the equation by determining the missing values needed to plot the ordered pairs. - 4x−5y=−20;(0,),(,0),(−1,),(,2)4 x-5 y=-20 ;(0, \quad),( \quad,0),(-1, \quad),( \quad,2)4x−5y=−20;(0,),(,0),(−1,),(,2)

Evaluate the function. -Find f(4)f(4)f(4) .

Graph the linear function. What is its domain and range? - f(x)=54x−2f(x)=\frac{5}{4}x - 2f(x)=45​x−2

Find the slope and the yyy -intercept of the line. - 4x−5y=54 x-5 y=54x−5y=5

Find the xxx - and yyy -intercepts. Then graph the equation. - 3x−18y=03x -18 y=03x−18y=0

Find the slope of the line through the pair of points. - (2,−9)(2,-9)(2,−9) and (6,−8)(6,-8)(6,−8)

Complete the table for the equation. - x+y=6x+y=6x+y=6

Find an equation of the line that satisfies the conditions. Write the equation in standard form. - x\mathrm{x}x -intercept (−8,0);m=−6(-8,0) ; \mathrm{m}=-6(−8,0);m=−6

Find an equation of the line passing through the two points. Write the equation in standard form. - (10,9)(10,9)(10,9) and (10,1)(10,1)(10,1)

Find the slope. - m=4−29−4m=\frac{4-2}{9-4}m=9−44−2​

Decide whether the pair of lines is parallel, perpendicular, or neither. - 12x+4y=1612x + 4 y=1612x+4y=16 and 27x+9y=3727 x+9 y=3727x+9y=37

The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question -What month in 2007 had the lowest sales?

Graph the compound inequality. - 3x+5y≥33 x+5 y \geq 33x+5y≥3 or y≥3y \geq 3y≥3

Graph the inequality or compound inequality. - 2x+3y>−52 x+3 y>-52x+3y>−5

Find the xxx - and yyy -intercepts. Then graph the equation. - 115x+15y=1\frac{11}{5} x+\frac{1}{5} y=1511​x+51​y=1

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) . - 9x2+7y=69 x^{2}+7 y=69x2+7y=6

Which one of the following has positive slope and negative yyy -coordinate for its yyy -intercept?

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through (−1,15)(-1,15)(−1,15) and parallel to 9x−2y=−239 x - 2 y=-239x−2y=−23

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

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through $(-3,5) ; \mathrm{m}=-8$

Graph the equation by determining the missing values needed to plot the ordered pairs. - $4 x-5 y=-20 ;(0, \quad),( \quad,0),(-1, \quad),( \quad,2)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - 4 x-5 y=-20 ;(0, \quad),( \quad,0),(-1, \quad),( \quad,2)$

Evaluate the function. -Find $f(4)$ .

Graph the linear function. What is its domain and range? - $f(x)=\frac{5}{4}x - 2$ $Graph the linear function. What is its domain and range? - f(x)=\frac{5}{4}x - 2$

Find the slope and the $y$ -intercept of the line. - $4 x-5 y=5$

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $3x -18 y=0$

Find the slope of the line through the pair of points. - $(2,-9)$ and $(6,-8)$

Complete the table for the equation. - $x+y=6$

Find an equation of the line that satisfies the conditions. Write the equation in standard form. - $\mathrm{x}$ -intercept $(-8,0) ; \mathrm{m}=-6$

Find an equation of the line passing through the two points. Write the equation in standard form. - $(10,9)$ and $(10,1)$

Find the slope. - $m=\frac{4-2}{9-4}$

Decide whether the pair of lines is parallel, perpendicular, or neither. - $12x + 4 y=16$ and $27 x+9 y=37$

Graph the compound inequality. - $3 x+5 y \geq 3$ or $y \geq 3$ $Graph the compound inequality. - 3 x+5 y \geq 3 or y \geq 3$

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

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $\frac{11}{5} x+\frac{1}{5} y=1$ $Find the x - and y -intercepts. Then graph the equation. - \frac{11}{5} x+\frac{1}{5} y=1$

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 $\mathbf{f}(\mathbf{x})$ . - $9 x^{2}+7 y=6$

Which one of the following has positive slope and negative $y$ -coordinate for its $y$ -intercept?

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through $(-1,15)$ and parallel to $9 x - 2 y=-23$