Question 1

Solve the problem.
-Find $f(-3)$ when $f(x)=x^{2}+3 x-4$.

Accepted Answer

A)  22 
B)  14 
C)  -4 
D)  4 
A)  22 
B)  14 
C)  -4 
D)  4

Question 2

Graph the line described.
-Through $(-6,-9) ; m=2$

Accepted Answer

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

Question 3

The boundary of the graph of the linear inequality will be a _____ line, and the shading will be _____ the line. Fill in the first blank with either solid or dashed. Fill in the second blank with above or below.
-$y>-3 x-\frac{7}{4}$

Accepted Answer

A)  solid; above 
B)  solid; below 
C)  dashed; below 
D)  dashed; above 
A)  solid; above 
B)  solid; below 
C)  dashed; below 
D)  dashed; above

Question 4

Find the slope and the $y$-intercept of the line.
-$3 x-4 y=4$

Accepted Answer

A)  Slope $-\frac{4}{3} ; y$-intercept $(0,-1)$ 
B)  Slope $\frac{3}{4} ; y$-intercept $(0,-1)$ 
C)  Slope $\frac{4}{3} ; y$-intercept $(0,1)$ 
D)  Slope $-\frac{3}{4} ; y$-intercept $(0,1)$ 
A)  Slope $-\frac{4}{3} ; y$-intercept $(0,-1)$ 
B)  Slope $\frac{3}{4} ; y$-intercept $(0,-1)$ 
C)  Slope $\frac{4}{3} ; y$-intercept $(0,1)$ 
D)  Slope $-\frac{3}{4} ; y$-intercept $(0,1)$

Question 5

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

Accepted Answer

A)  $(4,0)$; none
  
B)  None; $(0,4)$
  
C)  $(4,0)$; none
  
D)  None; $(0,4)$
  
A)  $(4,0)$; none
  
B)  None; $(0,4)$
  
C)  $(4,0)$; none
  
D)  None; $(0,4)$

Question 6

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.
-$\mathrm{y}_{1}=0$

Accepted Answer

A)  $\{0\}$ 
B)  $\{1\}$ 
C)  $\{3\}$ 
D)  Cannot be determined 
A)  $\{0\}$ 
B)  $\{1\}$ 
C)  $\{3\}$ 
D)  Cannot be determined

Question 7

Complete the table for the equation.
-$y=-x+3$

Accepted Answer

A)  $-5 ; 0 ; 3$ 
B)  $6 ; 0 ; 3$ 
C)  $6 ; 0 ; 0$ 
D)  $-5 ; 6 ; 3$ 
A)  $-5 ; 0 ; 3$ 
B)  $6 ; 0 ; 3$ 
C)  $6 ; 0 ; 0$ 
D)  $-5 ; 6 ; 3$

Question 8

Solve the problem.
-Suppose the sales of a particular brand of appliance are modeled by the linear function $S(x)=150 x+4600$, where $S(x)$ represents the number of sales in year $x$, with $x=0$ corresponding to 1982. Find the number of sales in 1990.

Accepted Answer

A)  11,600 sales 
B)  5800 sales 
C)  5650 sales 
D)  11,450 sales 
A)  11,600 sales 
B)  5800 sales 
C)  5650 sales 
D)  11,450 sales

Question 9

Determine whether the relation defines $y$ as a function of $x$. Give the domain.
-$y=x^{3}$

Accepted Answer

A)  Not a function; domain: all whole numbers 
B)  Function; domain: all whole numbers 
C)  Function; domain: $(-\infty, \infty)$ 
D)  Not a function; domain: $(-\infty, \infty)$ 
A)  Not a function; domain: all whole numbers 
B)  Function; domain: all whole numbers 
C)  Function; domain: $(-\infty, \infty)$ 
D)  Not a function; domain: $(-\infty, \infty)$

Question 10

Find the equation in slope-intercept form of the line satisfying the conditions.
-Slope -1 ; $y$-intercept $(0,5)$

Accepted Answer

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

Question 11

Write the equation in slope-intercept form.
-$-7 x+2 y=4$

Accepted Answer

A)  $y=\frac{7}{2} x-2$ 
B)  $y=\frac{2}{7} x+\frac{4}{7}$ 
C)  $y=7 x-4$ 
D)  $y=\frac{7}{2} x+2$ 
A)  $y=\frac{7}{2} x-2$ 
B)  $y=\frac{2}{7} x+\frac{4}{7}$ 
C)  $y=7 x-4$ 
D)  $y=\frac{7}{2} x+2$

Question 12

Find the slope of the line and sketch the graph.
-$y=-2 x$

Accepted Answer

A)  Slope: 0
  
B)  Slope: 2
  
C)  Slope: $-\frac{1}{2}$
  
D)  Slope: -2
  
A)  Slope: 0
  
B)  Slope: 2
  
C)  Slope: $-\frac{1}{2}$
  
D)  Slope: -2

Question 13

Graph the solution set of the inequality in the rectangular coordinate plane.
-$|x+1|<4$

Accepted Answer

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

Question 14

Identify whether the slope is 
-

Accepted Answer

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

Question 15

To find the $y$-intercept of a line we let $\_=0$ and solve for__

Accepted Answer

The answer of To find the $y$-intercept of a line...

Question 16

Decide whether the relation is a function.
-$\{(2,-9),(2,-2),(4,8),(7,-2),(11,4)\}$

Accepted Answer

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

Question 17

Solve the problem.
-Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a function of time. Is this the graph of a function? What is the domain?

Accepted Answer

A)  Not a function; Domain: [2005, 2011] 
B)  Not a function; Domain: [2007, 2011] 
C)  Function; Domain: [2007, 2011] 
D)  Function; Domain: [2005, 2011] 
A)  Not a function; Domain: [2005, 2011] 
B)  Not a function; Domain: [2007, 2011] 
C)  Function; Domain: [2007, 2011] 
D)  Function; Domain: [2005, 2011]

Question 18

Find the equation in slope-intercept form of the line satisfying the conditions.
-$\mathrm{m}=\frac{9}{2} ; \mathrm{y}$-intercept $(0,-13)$

Accepted Answer

A)  $y=-\frac{9}{2} x-13$ 
B)  $y=\frac{9}{2} x+13$ 
C)  $y=\frac{9}{2} x-13$ 
D)  $y=-\frac{9}{2} x+13$ 
A)  $y=-\frac{9}{2} x-13$ 
B)  $y=\frac{9}{2} x+13$ 
C)  $y=\frac{9}{2} x-13$ 
D)  $y=-\frac{9}{2} x+13$

Question 19

Decide whether the pair of lines is parallel, perpendicular, or neither.
-$3x - 4 y=12$ and $8 x+6 y=-9$

Accepted Answer

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

Question 20

Decide whether the relation is a function.
-

Accepted Answer

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

Solve the problem. -Find $f(-3)$ when $f(x)=x^{2}+3 x-4$ .

Graph the line described. -Through $(-6,-9) ; m=2$

The boundary of the graph of the linear inequality will be a _ line, and the shading will be _ the line. Fill in the first blank with either solid or dashed. Fill in the second blank with above or below. - $y>-3 x-\frac{7}{4}$

Find the slope and the $y$ -intercept of the line. - $3 x-4 y=4$

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

Complete the table for the equation. - $y=-x+3$

Solve the problem. -Suppose the sales of a particular brand of appliance are modeled by the linear function $S(x)=150 x+4600$ , where $S(x)$ represents the number of sales in year $x$ , with $x=0$ corresponding to 1982. Find the number of sales in 1990.

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $y=x^{3}$

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope -1 ; $y$ -intercept $(0,5)$

Write the equation in slope-intercept form. - $-7 x+2 y=4$

Find the slope of the line and sketch the graph. - $y=-2 x$

Graph the solution set of the inequality in the rectangular coordinate plane. - $|x+1|<4$

Identify whether the slope is -

To find the $y$ -intercept of a line we let $\_=0$ and solve for__

Decide whether the relation is a function. - $\{(2,-9),(2,-2),(4,8),(7,-2),(11,4)\}$

Solve the problem. -Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a function of time. Is this the graph of a function? What is the domain?

Find the equation in slope-intercept form of the line satisfying the conditions. - $\mathrm{m}=\frac{9}{2} ; \mathrm{y}$ -intercept $(0,-13)$

Decide whether the pair of lines is parallel, perpendicular, or neither. - $3x - 4 y=12$ and $8 x+6 y=-9$

Decide whether the relation is a function. -

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

Solve the problem. -Find f(−3)f(-3)f(−3) when f(x)=x2+3x−4f(x)=x^{2}+3 x-4f(x)=x2+3x−4 .

Graph the line described. -Through (−6,−9);m=2(-6,-9) ; m=2(−6,−9);m=2

The boundary of the graph of the linear inequality will be a _____ line, and the shading will be _____ the line. Fill in the first blank with either solid or dashed. Fill in the second blank with above or below. - y>−3x−74y>-3 x-\frac{7}{4}y>−3x−47​

Find the slope and the yyy -intercept of the line. - 3x−4y=43 x-4 y=43x−4y=4

Find the xxx - and yyy -intercepts, and graph the equation. - x=4x=4x=4

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=0\mathrm{y}_{1}=0y1​=0

Complete the table for the equation. - y=−x+3y=-x+3y=−x+3

Solve the problem. -Suppose the sales of a particular brand of appliance are modeled by the linear function S(x)=150x+4600S(x)=150 x+4600S(x)=150x+4600 , where S(x)S(x)S(x) represents the number of sales in year xxx , with x=0x=0x=0 corresponding to 1982. Find the number of sales in 1990.

Determine whether the relation defines yyy as a function of xxx . Give the domain. - y=x3y=x^{3}y=x3

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope -1 ; yyy -intercept (0,5)(0,5)(0,5)

Write the equation in slope-intercept form. - −7x+2y=4-7 x+2 y=4−7x+2y=4

Find the slope of the line and sketch the graph. - y=−2xy=-2 xy=−2x

Graph the solution set of the inequality in the rectangular coordinate plane. - ∣x+1∣<4|x+1|<4∣x+1∣<4