Question 1

Decide whether the pair of lines is parallel, perpendicular, or neither.
-$3x - 6 y=-12$ and $18 x+9 y=3$

Accepted Answer

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

Question 2

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form.
-Through (-5, -2); perpendicular to $-5 x-2 y=27$

Accepted Answer

A)  $y=-\frac{5}{2} x-\frac{29}{2}$ 
B)  $y=\frac{2}{5} x$ 
C)  $y=-\frac{2}{5} x-4$ 
D)  $y=\frac{5}{2} x+\frac{21}{2}$ 
A)  $y=-\frac{5}{2} x-\frac{29}{2}$ 
B)  $y=\frac{2}{5} x$ 
C)  $y=-\frac{2}{5} x-4$ 
D)  $y=\frac{5}{2} x+\frac{21}{2}$

Question 3

Complete the table of ordered pairs for the equation.
-$4 x+6 y=24$

Accepted Answer

A)  $4 ; \frac{10}{3} ; 0$ 
B)  $0 ; \frac{10}{3} ; \frac{3}{2}$ 
C)  $4 ; 0 ; ; \frac{3}{2}$ 
D)  $0 ; \frac{10}{3} ; 1$ 
A)  $4 ; \frac{10}{3} ; 0$ 
B)  $0 ; \frac{10}{3} ; \frac{3}{2}$ 
C)  $4 ; 0 ; ; \frac{3}{2}$ 
D)  $0 ; \frac{10}{3} ; 1$

Question 4

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

Accepted Answer

A)  Not a function; domain: $\{-3,0,6\}$; range: $\{-4,-9\}$ 
B)  Not a function; domain: $\{-4,-9\}$; range: $\{-3,0,6\}$ 
C)  Function; domain: $\{-3,0,6\}$; range: $\{-4,-9\}$ 
D)  Function; domain: $\{-4,-9\}$; range: $\{-3,0,6\}$ 
A)  Not a function; domain: $\{-3,0,6\}$; range: $\{-4,-9\}$ 
B)  Not a function; domain: $\{-4,-9\}$; range: $\{-3,0,6\}$ 
C)  Function; domain: $\{-3,0,6\}$; range: $\{-4,-9\}$ 
D)  Function; domain: $\{-4,-9\}$; range: $\{-3,0,6\}$

Question 5

Solve the problem.
-A truck rental company charges $\$ 39$, plus $\$ 0.07$ 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, write a linear function that models the situation.

Accepted Answer

A)  $f(x)=0.07 x-39$ 
B)  $f(x)=0.07 x+39 x$ 
C)  $f(x)=39 x+0.07$ 
D)  $f(x)=0.07 x+39$ 
A)  $f(x)=0.07 x-39$ 
B)  $f(x)=0.07 x+39 x$ 
C)  $f(x)=39 x+0.07$ 
D)  $f(x)=0.07 x+39$

Question 6

Decide whether the relation is a function.
-

Accepted Answer

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

Question 7

Solve the problem.
-Find $f(0)$ when $f(x)=x^{2}+4 x-3$.

Accepted Answer

A)  1 
B)  9 
C)  -3 
D)  3 
A)  1 
B)  9 
C)  -3 
D)  3

Question 8

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer.
  
-$(0,2)$

Accepted Answer

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

Question 9

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither.
-$(-7,-1),(2,-10),(16,-3),(7,8)$

Accepted Answer

A)  Parallelogram 
B)  Rectangle 
C)  Neither 
A)  Parallelogram 
B)  Rectangle 
C)  Neither

Question 10

Find the midpoint of the segment with the given endpoints.
-$\biggl(-\frac{7}{2},-\frac{9}{2}\biggl)$ and $\biggl(\frac{5}{2}, \frac{11}{2}\biggl)$

Accepted Answer

A)  $(4,4)$ 
B)  $(-3,-5)$ 
C)  $\biggl(-\frac{1}{2}, \frac{1}{2}\biggl)$ 
D)  $(144,400)$ 
A)  $(4,4)$ 
B)  $(-3,-5)$ 
C)  $\biggl(-\frac{1}{2}, \frac{1}{2}\biggl)$ 
D)  $(144,400)$

Question 11

Find the slope.
-$\mathrm{m}=\frac{5-(-5)}{-7-(-4)}$

Accepted Answer

A)  $\frac{10}{3}$ 
B)  $-\frac{10}{3}$ 
C)  0 
D)  $-\frac{10}{9}$ 
A)  $\frac{10}{3}$ 
B)  $-\frac{10}{3}$ 
C)  0 
D)  $-\frac{10}{9}$

Question 12

Solve the problem
-It costs $\$ 39$ per hour plus a flat fee of $\$ 26$ for a plumber to make a house call. What is an equation of the form $y=m x+b$ for this situation?

Accepted Answer

A)  $y=26 x$ 
B)  $y=26 x+39$ 
C)  $y=39 x$ 
D)  $y=39 x+26$ 
A)  $y=26 x$ 
B)  $y=26 x+39$ 
C)  $y=39 x$ 
D)  $y=39 x+26$

Question 13

Graph the line described.
-Through (0, 3); $m=\frac{1}{3}$

Accepted Answer

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

Question 14

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 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 $Q$.
-$P(-9,-9)$ and $M(0,-7)$

Accepted Answer

A)  $Q(9,2)$ 
B)  $Q(18,4)$ 
C)  $Q(9,-5)$ 
D)  $Q(0,-14)$ 
A)  $Q(9,2)$ 
B)  $Q(18,4)$ 
C)  $Q(9,-5)$ 
D)  $Q(0,-14)$

Question 16

Find the slope of the line.
-

Accepted Answer

A)  -3 
B)  $\frac{1}{3}$ 
C)  3 
D)  $-\frac{1}{3}$ 
A)  -3 
B)  $\frac{1}{3}$ 
C)  3 
D)  $-\frac{1}{3}$

Question 17

Find the slope.
-$\mathrm{m}=\frac{8-4}{-5-(-5)}$

Accepted Answer

A)  $-\frac{2}{5}$ 
B)  Undefined 
C)  0 
D)  4 
A)  $-\frac{2}{5}$ 
B)  Undefined 
C)  0 
D)  4

Question 18

Graph the linear inequality in two variables.
-$x+y<-2$

Accepted Answer

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

Question 19

Find the equation in slope-intercept form of the line satisfying the conditions.
-Slope $-\frac{2}{3} ; b=4$

Accepted Answer

A)  $y=\frac{2}{3} x-4$ 
B)  $y=\frac{2}{3} x+4$ 
C)  $y=-\frac{2}{3} x+4$ 
D)  $y=-\frac{2}{3} x-4$ 
A)  $y=\frac{2}{3} x-4$ 
B)  $y=\frac{2}{3} x+4$ 
C)  $y=-\frac{2}{3} x+4$ 
D)  $y=-\frac{2}{3} x-4$

Question 20

Graph the line described.
-Through (0, 3); $\mathrm{m}=-\frac{1}{4}$

Accepted Answer

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

Decide whether the pair of lines is parallel, perpendicular, or neither. - $3x - 6 y=-12$ and $18 x+9 y=3$

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. -Through (-5, -2); perpendicular to $-5 x-2 y=27$

Complete the table of ordered pairs for the equation. - $4 x+6 y=24$

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

Solve the problem. -A truck rental company charges $\$ 39$ , plus $\$ 0.07$ 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, write a linear function that models the situation.

Decide whether the relation is a function. -

Solve the problem. -Find $f(0)$ when $f(x)=x^{2}+4 x-3$ .

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer. - $(0,2)$

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. - $(-7,-1),(2,-10),(16,-3),(7,8)$

Find the midpoint of the segment with the given endpoints. - $\biggl(-\frac{7}{2},-\frac{9}{2}\biggl)$ and $\biggl(\frac{5}{2}, \frac{11}{2}\biggl)$

Find the slope. - $\mathrm{m}=\frac{5-(-5)}{-7-(-4)}$

Solve the problem -It costs $\$ 39$ per hour plus a flat fee of $\$ 26$ for a plumber to make a house call. What is an equation of the form $y=m x+b$ for this situation?

Graph the line described. -Through (0, 3); $m=\frac{1}{3}$ $Graph the line described. -Through (0, 3); m=\frac{1}{3}$

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

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 $Q$ . - $P(-9,-9)$ and $M(0,-7)$

Find the slope of the line. -

Find the slope. - $\mathrm{m}=\frac{8-4}{-5-(-5)}$

Graph the linear inequality in two variables. - $x+y<-2$

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope $-\frac{2}{3} ; b=4$

Graph the line described. -Through (0, 3); $\mathrm{m}=-\frac{1}{4}$ $Graph the line described. -Through (0, 3); \mathrm{m}=-\frac{1}{4}$

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

Decide whether the pair of lines is parallel, perpendicular, or neither. - 3x−6y=−123x - 6 y=-123x−6y=−12 and 18x+9y=318 x+9 y=318x+9y=3

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. -Through (-5, -2); perpendicular to −5x−2y=27-5 x-2 y=27−5x−2y=27

Complete the table of ordered pairs for the equation. - 4x+6y=244 x+6 y=244x+6y=24

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

Solve the problem. -A truck rental company charges $39\$ 39$39 , plus $0.07\$ 0.07$0.07 per mile to rent a moving truck for a day. If xxx represents the number of miles driven and f(x)f(x)f(x) represents the total cost to rent the truck for a day, write a linear function that models the situation.

Decide whether the relation is a function. -

Solve the problem. -Find f(0)f(0)f(0) when f(x)=x2+4x−3f(x)=x^{2}+4 x-3f(x)=x2+4x−3 .

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer. - (0,2)(0,2)(0,2)

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. - (−7,−1),(2,−10),(16,−3),(7,8)(-7,-1),(2,-10),(16,-3),(7,8)(−7,−1),(2,−10),(16,−3),(7,8)

Find the midpoint of the segment with the given endpoints. - (−72,−92)\biggl(-\frac{7}{2},-\frac{9}{2}\biggl)(−27​,−29​) and (52,112)\biggl(\frac{5}{2}, \frac{11}{2}\biggl)(25​,211​)

Find the slope. - m=5−(−5)−7−(−4)\mathrm{m}=\frac{5-(-5)}{-7-(-4)}m=−7−(−4)5−(−5)​

Solve the problem -It costs $39\$ 39$39 per hour plus a flat fee of $26\$ 26$26 for a plumber to make a house call. What is an equation of the form y=mx+by=m x+by=mx+b for this situation?

Graph the line described. -Through (0, 3); m=13m=\frac{1}{3}m=31​

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

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(−9,−9)P(-9,-9)P(−9,−9) and M(0,−7)M(0,-7)M(0,−7)

Find the slope of the line. -

Find the slope. - m=8−4−5−(−5)\mathrm{m}=\frac{8-4}{-5-(-5)}m=−5−(−5)8−4​

Graph the linear inequality in two variables. - x+y<−2x+y<-2x+y<−2

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope −23;b=4-\frac{2}{3} ; b=4−32​;b=4

Graph the line described. -Through (0, 3); m=−14\mathrm{m}=-\frac{1}{4}m=−41​

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

Decide whether the pair of lines is parallel, perpendicular, or neither. - $3x - 6 y=-12$ and $18 x+9 y=3$

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. -Through (-5, -2); perpendicular to $-5 x-2 y=27$

Complete the table of ordered pairs for the equation. - $4 x+6 y=24$

Solve the problem. -A truck rental company charges $\$ 39$ , plus $\$ 0.07$ 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, write a linear function that models the situation.

Solve the problem. -Find $f(0)$ when $f(x)=x^{2}+4 x-3$ .

Plot the point on the rectangular coordinate system provided. Write the corresponding letter as your answer. - $(0,2)$

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. - $(-7,-1),(2,-10),(16,-3),(7,8)$

Find the midpoint of the segment with the given endpoints. - $\biggl(-\frac{7}{2},-\frac{9}{2}\biggl)$ and $\biggl(\frac{5}{2}, \frac{11}{2}\biggl)$

Find the slope. - $\mathrm{m}=\frac{5-(-5)}{-7-(-4)}$

Solve the problem -It costs $\$ 39$ per hour plus a flat fee of $\$ 26$ for a plumber to make a house call. What is an equation of the form $y=m x+b$ for this situation?

Graph the line described. -Through (0, 3); $m=\frac{1}{3}$ $Graph the line described. -Through (0, 3); m=\frac{1}{3}$

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

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 $Q$ . - $P(-9,-9)$ and $M(0,-7)$

Find the slope. - $\mathrm{m}=\frac{8-4}{-5-(-5)}$

Graph the linear inequality in two variables. - $x+y<-2$

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope $-\frac{2}{3} ; b=4$

Graph the line described. -Through (0, 3); $\mathrm{m}=-\frac{1}{4}$ $Graph the line described. -Through (0, 3); \mathrm{m}=-\frac{1}{4}$