Question 1

Graph the linear inequality in two variables.
-$y \ge 3x$

Accepted Answer

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

Question 2

Solve the problem.
-A truck rental company charges $\$ 29$ plus $\$ 0.11$ per mile to rent a moving truck for a day. If $x$ represents the number of miles driven and $f(x)$ represents the total cost to rent the truck for a day, a linear function that models the situation is $f(x)=0.11 x+29$. What is the cost of renting the truck if it is driven 150 miles?

Accepted Answer

A)  $\$ 12.50$ 
B)  $\$ 45.50$ 
C)  $\$ 30.65$ 
D)  $\$ 4350.11$ 
A)  $\$ 12.50$ 
B)  $\$ 45.50$ 
C)  $\$ 30.65$ 
D)  $\$ 4350.11$

Question 3

Find an equation of the line passing through the two points. Write the equation in standard form.
-$(2,-7)$ and $(0,6)$

Accepted Answer

A)  $9 x-6 y=-36$ 
B)  $13 x+2 y=12$ 
C)  $-13 x+2 y=12$ 
D)  $-9 x+6 y=-36$ 
A)  $9 x-6 y=-36$ 
B)  $13 x+2 y=12$ 
C)  $-13 x+2 y=12$ 
D)  $-9 x+6 y=-36$

Question 4

Choose the graph that matches the equation
-$y=-5 x+6$

Accepted Answer

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

Question 5

Find an equation of the line passing through the two points. Write the equation in standard form.
-$(9,0)$ and $(-9,5)$

Accepted Answer

A)  $-9 x+14 y=11$ 
B)  $9 x-14 y=11$ 
C)  $-5 x+18 y=45$ 
D)  $5 x+18 y=45$ 
A)  $-9 x+14 y=11$ 
B)  $9 x-14 y=11$ 
C)  $-5 x+18 y=45$ 
D)  $5 x+18 y=45$

Question 6

Graph the linear function. Give the domain and range.
-$f(x)=2 x+3$

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 7

Determine whether the relation defines $y$ as a function of $x$. Give the domain.
-$y=\frac{x-3}{11}$

Accepted Answer

A)  Function; domain $(-\infty, 3) \cup(3, \infty)$ 
B)  Not a function; domain: $(-\infty, \infty)$ 
C)  Not a function; domain $(-\infty, 11) \cup(11, \infty)$ 
D)  Function; domain: $(-\infty, \infty)$ 
A)  Function; domain $(-\infty, 3) \cup(3, \infty)$ 
B)  Not a function; domain: $(-\infty, \infty)$ 
C)  Not a function; domain $(-\infty, 11) \cup(11, \infty)$ 
D)  Function; domain: $(-\infty, \infty)$

Question 8

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

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

Name the quadrant, if any, in which the point is located.
-$(-12,0)$

Accepted Answer

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

Question 11

Find the slope of the line.
-

Accepted Answer

A)  $\frac{3}{4}$ 
B)  $-\frac{3}{4}$ 
C)  $\frac{4}{3}$ 
D)  $-\frac{4}{3}$ 
A)  $\frac{3}{4}$ 
B)  $-\frac{3}{4}$ 
C)  $\frac{4}{3}$ 
D)  $-\frac{4}{3}$

Question 12

Find the slope of the line and sketch the graph.
-$3 x-4 y=-7$

Accepted Answer

A)  Slope: $-\frac{3}{4}$
  
B)  Slope: - $\frac{4}{3}$
  
C)  Slope: $\frac{3}{4}$
  
D)  Slope: $\frac{4}{3}$
  
A)  Slope: $-\frac{3}{4}$
  
B)  Slope: - $\frac{4}{3}$
  
C)  Slope: $\frac{3}{4}$
  
D)  Slope: $\frac{4}{3}$

Question 13

Choose the graph that matches the equation
-$y=3 x-4$

Accepted Answer

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

Question 14

Graph the compound inequality.
-$x+2 y \geq 2$ and $x-y \leq 0$

Accepted Answer

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

Question 15

Is the origin a good test point in graphing an inequality of the form $A x+B y<0$ ? Explain.

Accepted Answer

No. The origin is not a good t

Question 16

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$x-2 y=-8 ;(0, \quad),( \quad ,0),(3, \quad),( \quad ,3)$

Accepted Answer

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

Question 17

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

Accepted Answer

A)  Not a function; domain: $[-2, \infty)$; range: $(-\infty, \infty)$ 
B)  Function; domain: $[-2, \infty)$; range: $(-\infty, \infty)$ 
C)  Not a function; domain: $(-\infty, \infty)$; range: $[-2, \infty)$ 
D)  Function; domain: $(-\infty, \infty)$; range: $[-2, \infty)$ 
A)  Not a function; domain: $[-2, \infty)$; range: $(-\infty, \infty)$ 
B)  Function; domain: $[-2, \infty)$; range: $(-\infty, \infty)$ 
C)  Not a function; domain: $(-\infty, \infty)$; range: $[-2, \infty)$ 
D)  Function; domain: $(-\infty, \infty)$; range: $[-2, \infty)$

Question 18

Graph the linear inequality in two variables.
-$x-y<-5$

Accepted Answer

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

Question 19

Find the $x$ - and $y$-intercepts. Then graph the equation.
-$-6 x-12 y=24$

Accepted Answer

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

Question 20

Find an equation of the line that satisfies the conditions. Write the equation in standard form.
-Through (0,3); $m=-\frac{8}{9}$

Accepted Answer

A)  $8 x-9 y=27$ 
B)  $8 x+9 y=-27$ 
C)  $8 x+9 y=27$ 
D)  $9 x+8 y=-27$ 
A)  $8 x-9 y=27$ 
B)  $8 x+9 y=-27$ 
C)  $8 x+9 y=27$ 
D)  $9 x+8 y=-27$

Graph the linear inequality in two variables. - $y \ge 3x$ $Graph the linear inequality in two variables. - y \ge 3x$

Find an equation of the line passing through the two points. Write the equation in standard form. - $(2,-7)$ and $(0,6)$

Choose the graph that matches the equation - $y=-5 x+6$

Find an equation of the line passing through the two points. Write the equation in standard form. - $(9,0)$ and $(-9,5)$

Graph the linear function. Give the domain and range. - $f(x)=2 x+3$

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $y=\frac{x-3}{11}$

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

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

Name the quadrant, if any, in which the point is located. - $(-12,0)$

Find the slope of the line. -

Find the slope of the line and sketch the graph. - $3 x-4 y=-7$

Choose the graph that matches the equation - $y=3 x-4$

Graph the compound inequality. - $x+2 y \geq 2$ and $x-y \leq 0$ $Graph the compound inequality. - x+2 y \geq 2 and x-y \leq 0$

Is the origin a good test point in graphing an inequality of the form $A x+B y<0$ ? Explain.

Graph the equation by determining the missing values needed to plot the ordered pairs. - $x-2 y=-8 ;(0, \quad),( \quad ,0),(3, \quad),( \quad ,3)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - x-2 y=-8 ;(0, \quad),( \quad ,0),(3, \quad),( \quad ,3)$

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

Graph the linear inequality in two variables. - $x-y<-5$

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $-6 x-12 y=24$

Find an equation of the line that satisfies the conditions. Write the equation in standard form. -Through (0,3); $m=-\frac{8}{9}$

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. - y≥3xy \ge 3xy≥3x

Find an equation of the line passing through the two points. Write the equation in standard form. - (2,−7)(2,-7)(2,−7) and (0,6)(0,6)(0,6)

Choose the graph that matches the equation - y=−5x+6y=-5 x+6y=−5x+6

Find an equation of the line passing through the two points. Write the equation in standard form. - (9,0)(9,0)(9,0) and (−9,5)(-9,5)(−9,5)

Graph the linear function. Give the domain and range. - f(x)=2x+3f(x)=2 x+3f(x)=2x+3

Determine whether the relation defines yyy as a function of xxx . Give the domain. - y=x−311y=\frac{x-3}{11}y=11x−3​

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

Choose the graph that matches the equation - y=−2xy=-2 xy=−2x

Name the quadrant, if any, in which the point is located. - (−12,0)(-12,0)(−12,0)

Find the slope of the line. -

Find the slope of the line and sketch the graph. - 3x−4y=−73 x-4 y=-73x−4y=−7

Choose the graph that matches the equation - y=3x−4y=3 x-4y=3x−4

Graph the compound inequality. - x+2y≥2x+2 y \geq 2x+2y≥2 and x−y≤0x-y \leq 0x−y≤0

Is the origin a good test point in graphing an inequality of the form Ax+By<0A x+B y<0Ax+By<0 ? Explain.

Graph the equation by determining the missing values needed to plot the ordered pairs. - x−2y=−8;(0,),(,0),(3,),(,3)x-2 y=-8 ;(0, \quad),( \quad ,0),(3, \quad),( \quad ,3)x−2y=−8;(0,),(,0),(3,),(,3)

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

Graph the linear inequality in two variables. - x−y<−5x-y<-5x−y<−5

Find the xxx - and yyy -intercepts. Then graph the equation. - −6x−12y=24-6 x-12 y=24−6x−12y=24

Find an equation of the line that satisfies the conditions. Write the equation in standard form. -Through (0,3); m=−89m=-\frac{8}{9}m=−98​

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. - $y \ge 3x$ $Graph the linear inequality in two variables. - y \ge 3x$

Find an equation of the line passing through the two points. Write the equation in standard form. - $(2,-7)$ and $(0,6)$

Choose the graph that matches the equation - $y=-5 x+6$

Find an equation of the line passing through the two points. Write the equation in standard form. - $(9,0)$ and $(-9,5)$

Graph the linear function. Give the domain and range. - $f(x)=2 x+3$

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $y=\frac{x-3}{11}$

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

Name the quadrant, if any, in which the point is located. - $(-12,0)$

Find the slope of the line and sketch the graph. - $3 x-4 y=-7$

Choose the graph that matches the equation - $y=3 x-4$

Graph the compound inequality. - $x+2 y \geq 2$ and $x-y \leq 0$ $Graph the compound inequality. - x+2 y \geq 2 and x-y \leq 0$

Is the origin a good test point in graphing an inequality of the form $A x+B y<0$ ? Explain.

Graph the equation by determining the missing values needed to plot the ordered pairs. - $x-2 y=-8 ;(0, \quad),( \quad ,0),(3, \quad),( \quad ,3)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - x-2 y=-8 ;(0, \quad),( \quad ,0),(3, \quad),( \quad ,3)$

Graph the linear inequality in two variables. - $x-y<-5$

Find the $x$ - and $y$ -intercepts. Then graph the equation. - $-6 x-12 y=24$

Find an equation of the line that satisfies the conditions. Write the equation in standard form. -Through (0,3); $m=-\frac{8}{9}$