Question 1

Can the point-slope form of the equation of a line be used to write an equation of a vertical line? Explain.

Accepted Answer

No. In the point slope form of

Question 2

Graph the solution set of the inequality in the rectangular coordinate plane.
-$|y| \geq 5$

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.
-$y \geq-\frac{2}{3} x+\frac{3}{8}$

Accepted Answer

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

Question 4

Graph the compound inequality.
-$x+5 \geq 2 y$ or $x \leq 3$

Accepted Answer

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

Question 5

Write the equation in slope-intercept form.
-$7 x-6 y=6$

Accepted Answer

A)  $y=7 x-6$ 
B)  $y=\frac{7}{6} x+1$ 
C)  $y=\frac{6}{7} x+\frac{6}{7}$ 
D)  $y=\frac{7}{6} x-1$ 
A)  $y=7 x-6$ 
B)  $y=\frac{7}{6} x+1$ 
C)  $y=\frac{6}{7} x+\frac{6}{7}$ 
D)  $y=\frac{7}{6} x-1$

Question 6

Solve the problem.
-Find $g(a+1)$ when $g(x)=\frac{1}{4} x-1$.

Accepted Answer

A)  $\frac{a+3}{4}$ 
B)  $\frac{1}{4} \mathrm{a}-4$ 
C)  $\frac{1}{4} \mathrm{a}-1$ 
D)  $\frac{a-3}{4}$ 
A)  $\frac{a+3}{4}$ 
B)  $\frac{1}{4} \mathrm{a}-4$ 
C)  $\frac{1}{4} \mathrm{a}-1$ 
D)  $\frac{a-3}{4}$

Question 7

Find the slope and the $y$-intercept of the line.
-$2 x+5 y=19$

Accepted Answer

A)  Slope $\frac{2}{5} ; y$-intercept $\biggl(0, \frac{19}{5}\biggl)$ 
B)  Slope $\frac{5}{2} ; y$-intercept $\biggl(0, \frac{5}{19}\biggl)$ 
C)  Slope $-\frac{5}{2} ; y$-intercept $\biggl(0, \frac{5}{19}\biggl)$ 
D)  Slope $-\frac{2}{5} ; y$-intercept $\biggl(0, \frac{19}{5}\biggl)$ 
A)  Slope $\frac{2}{5} ; y$-intercept $\biggl(0, \frac{19}{5}\biggl)$ 
B)  Slope $\frac{5}{2} ; y$-intercept $\biggl(0, \frac{5}{19}\biggl)$ 
C)  Slope $-\frac{5}{2} ; y$-intercept $\biggl(0, \frac{5}{19}\biggl)$ 
D)  Slope $-\frac{2}{5} ; y$-intercept $\biggl(0, \frac{19}{5}\biggl)$

Question 8

Give the domain and range of the relation shown in the following.
-$\{(4,4),(-6,5),(7,10)\}$

Accepted Answer

A)  Domain: $\{4,-6,7\}$; range: $\{4,5,10\}$ 
B)  Domain: $\{4,-6,7\}$; range: $\{10\}$ 
C)  Domain: $\{4,5,10\}$; range: $\{4,-6,7\}$ 
D)  Domain: $\{4,7\}$; range: $\{4,10\}$ 
A)  Domain: $\{4,-6,7\}$; range: $\{4,5,10\}$ 
B)  Domain: $\{4,-6,7\}$; range: $\{10\}$ 
C)  Domain: $\{4,5,10\}$; range: $\{4,-6,7\}$ 
D)  Domain: $\{4,7\}$; range: $\{4,10\}$

Question 9

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither.
-$(-12,-10),(-10,0),(3,7),(1,-3)$

Accepted Answer

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

Question 10

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 $Q$.
-$P(0,-9)$ and $M(-3,-4)$

Accepted Answer

A)  $Q(3,-5)$ 
B)  $Q(-6,-8)$ 
C)  $Q(-6,1)$ 
D)  $Q(6,-10)$ 
A)  $Q(3,-5)$ 
B)  $Q(-6,-8)$ 
C)  $Q(-6,1)$ 
D)  $Q(6,-10)$

Question 11

Complete the table for the equation.
-$y+3 x=-16$

Accepted Answer

A)  $5 ;-16 ;-16$ 
B)  $-7 ;-16 ;-16$ 
C)  $5 ;-32 ; 32$ 
D)  $5 ;-16 ; 0$ 
A)  $5 ;-16 ;-16$ 
B)  $-7 ;-16 ;-16$ 
C)  $5 ;-32 ; 32$ 
D)  $5 ;-16 ; 0$

Question 12

Name the quadrant, if any, in which the point is located.
-$(7,17)$

Accepted Answer

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

Question 13

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

Accepted Answer

A)  -7 
B)  -1 
C)  -15 
D)  9 
A)  -7 
B)  -1 
C)  -15 
D)  9

Question 14

Solve the problem.
-The winning speeds for the Grayslake 250 race from 1980-1992 are approximated by the linear equation $y=2.503 x+198.729$. In the model, $x=0$ corresponds to $1980, x=1$ to 1981 , and so on. A portion of the graph of the equation is shown on the accompanying screen, along with the coordinates of a point on the line. How can this point be interpreted in the context of the model?

Accepted Answer

A)  It means that in the year 1990, the winning speed was approximately 224 miles per hour. 
B)  It means that the winning speed in the year 1990 will be the same as in the year 2203. 
C)  It means that 10 years from now, the winning speed will be approximately 224 miles per hour. 
D)  It means that the winning speed was between 10 and 224 miles per hour. 
A)  It means that in the year 1990, the winning speed was approximately 224 miles per hour. 
B)  It means that the winning speed in the year 1990 will be the same as in the year 2203. 
C)  It means that 10 years from now, the winning speed will be approximately 224 miles per hour. 
D)  It means that the winning speed was between 10 and 224 miles per hour.

Question 15

Solve the problem
-If the slope of the road shown is $\frac{2}{3}$, find the value for $h$ if $v=1 \mathrm{ft}$.

Accepted Answer

A)  $1 \mathrm{ft}$ 
B)  $3 \mathrm{ft}$ 
C)  $2 \mathrm{ft}$ 
D)  $\frac{3}{2} \mathrm{ft}$ 
A)  $1 \mathrm{ft}$ 
B)  $3 \mathrm{ft}$ 
C)  $2 \mathrm{ft}$ 
D)  $\frac{3}{2} \mathrm{ft}$

Question 16

Solve the problem
-Using a phone card to make a long distance call costs a flat fee of $\$ 0.79$ plus $\$ 0.17$ per minute starting with the first minute. What is an equation of the form $y=m x+b$ for this situation?

Accepted Answer

A)  $y=0.17 x+0.79$ 
B)  $y=0.79 x$ 
C)  $y=0.17 x$ 
D)  $y=0.79 x+0.17$ 
A)  $y=0.17 x+0.79$ 
B)  $y=0.79 x$ 
C)  $y=0.17 x$ 
D)  $y=0.79 x+0.17$

Question 17

Determine whether the relation defines $y$ as a function of $x$. Give the domain.
-$y=\sqrt{3 x-5}$

Accepted Answer

A)  Function; domain: $(-\infty, \infty)$ 
B)  Not a function; domain: $\left[\frac{5}{3}, \infty\right)$ 
C)  Not a function; domain: $\left(-\infty, \frac{5}{3}\right]$ 
D)  Function; domain: $\left[\frac{5}{3}, \infty\right)$ 
A)  Function; domain: $(-\infty, \infty)$ 
B)  Not a function; domain: $\left[\frac{5}{3}, \infty\right)$ 
C)  Not a function; domain: $\left(-\infty, \frac{5}{3}\right]$ 
D)  Function; domain: $\left[\frac{5}{3}, \infty\right)$

Question 18

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

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Graph the linear function. Give the domain and range.
-$h(x)=-6$

Accepted Answer

A)  Domain: $(-\infty, \infty)$
Range: $\{-6\}$
  
B)  Domain: $\{-6\}$
Range: $(-\infty, \infty)$
  
A)  Domain: $(-\infty, \infty)$
Range: $\{-6\}$
  
B)  Domain: $\{-6\}$
Range: $(-\infty, \infty)$

Can the point-slope form of the equation of a line be used to write an equation of a vertical line? Explain.

Graph the solution set of the inequality in the rectangular coordinate plane. - $|y| \geq 5$ $Graph the solution set of the inequality in the rectangular coordinate plane. - |y| \geq 5$

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. - $y \geq-\frac{2}{3} x+\frac{3}{8}$

Graph the compound inequality. - $x+5 \geq 2 y$ or $x \leq 3$ $Graph the compound inequality. - x+5 \geq 2 y or x \leq 3$

Write the equation in slope-intercept form. - $7 x-6 y=6$

Solve the problem. -Find $g(a+1)$ when $g(x)=\frac{1}{4} x-1$ .

Find the slope and the $y$ -intercept of the line. - $2 x+5 y=19$

Give the domain and range of the relation shown in the following. - $\{(4,4),(-6,5),(7,10)\}$

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. - $(-12,-10),(-10,0),(3,7),(1,-3)$

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 $Q$ . - $P(0,-9)$ and $M(-3,-4)$

Complete the table for the equation. - $y+3 x=-16$

Name the quadrant, if any, in which the point is located. - $(7,17)$

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

Solve the problem -If the slope of the road shown is $\frac{2}{3}$ , find the value for $h$ if $v=1 \mathrm{ft}$ . $Solve the problem -If the slope of the road shown is \frac{2}{3} , find the value for h if v=1 \mathrm{ft} .$

Solve the problem -Using a phone card to make a long distance call costs a flat fee of $\$ 0.79$ plus $\$ 0.17$ per minute starting with the first minute. What is an equation of the form $y=m x+b$ for this situation?

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $y=\sqrt{3 x-5}$

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

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

Graph the linear function. Give the domain and range. - $h(x)=-6$

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

Can the point-slope form of the equation of a line be used to write an equation of a vertical line? Explain.

Graph the solution set of the inequality in the rectangular coordinate plane. - ∣y∣≥5|y| \geq 5∣y∣≥5

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≥−23x+38y \geq-\frac{2}{3} x+\frac{3}{8}y≥−32​x+83​

Graph the compound inequality. - x+5≥2yx+5 \geq 2 yx+5≥2y or x≤3x \leq 3x≤3

Write the equation in slope-intercept form. - 7x−6y=67 x-6 y=67x−6y=6

Solve the problem. -Find g(a+1)g(a+1)g(a+1) when g(x)=14x−1g(x)=\frac{1}{4} x-1g(x)=41​x−1 .

Find the slope and the yyy -intercept of the line. - 2x+5y=192 x+5 y=192x+5y=19

Give the domain and range of the relation shown in the following. - {(4,4),(−6,5),(7,10)}\{(4,4),(-6,5),(7,10)\}{(4,4),(−6,5),(7,10)}

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. - (−12,−10),(−10,0),(3,7),(1,−3)(-12,-10),(-10,0),(3,7),(1,-3)(−12,−10),(−10,0),(3,7),(1,−3)

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(0,−9)P(0,-9)P(0,−9) and M(−3,−4)M(-3,-4)M(−3,−4)

Complete the table for the equation. - y+3x=−16y+3 x=-16y+3x=−16

Name the quadrant, if any, in which the point is located. - (7,17)(7,17)(7,17)

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

Solve the problem -If the slope of the road shown is 23\frac{2}{3}32​ , find the value for hhh if v=1ftv=1 \mathrm{ft}v=1ft .

Solve the problem -Using a phone card to make a long distance call costs a flat fee of $0.79\$ 0.79$0.79 plus $0.17\$ 0.17$0.17 per minute starting with the first minute. What is an equation of the form y=mx+by=m x+by=mx+b for this situation?

Determine whether the relation defines yyy as a function of xxx . Give the domain. - y=3x−5y=\sqrt{3 x-5}y=3x−5​

Graph the linear inequality in two variables. - 3x+4y≥−123 x+4 y \geq-123x+4y≥−12

Choose the graph that matches the equation - y=4y=4y=4

Graph the linear function. Give the domain and range. - h(x)=−6h(x)=-6h(x)=−6

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 solution set of the inequality in the rectangular coordinate plane. - $|y| \geq 5$ $Graph the solution set of the inequality in the rectangular coordinate plane. - |y| \geq 5$

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. - $y \geq-\frac{2}{3} x+\frac{3}{8}$

Graph the compound inequality. - $x+5 \geq 2 y$ or $x \leq 3$ $Graph the compound inequality. - x+5 \geq 2 y or x \leq 3$

Write the equation in slope-intercept form. - $7 x-6 y=6$

Solve the problem. -Find $g(a+1)$ when $g(x)=\frac{1}{4} x-1$ .

Find the slope and the $y$ -intercept of the line. - $2 x+5 y=19$

Give the domain and range of the relation shown in the following. - $\{(4,4),(-6,5),(7,10)\}$

Tell whether the points are the vertices of a parallelogram (that is not a rectangle), a rectangle, or neither. - $(-12,-10),(-10,0),(3,7),(1,-3)$

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 $Q$ . - $P(0,-9)$ and $M(-3,-4)$

Complete the table for the equation. - $y+3 x=-16$

Name the quadrant, if any, in which the point is located. - $(7,17)$

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

Solve the problem -If the slope of the road shown is $\frac{2}{3}$ , find the value for $h$ if $v=1 \mathrm{ft}$ . $Solve the problem -If the slope of the road shown is \frac{2}{3} , find the value for h if v=1 \mathrm{ft} .$

Solve the problem -Using a phone card to make a long distance call costs a flat fee of $\$ 0.79$ plus $\$ 0.17$ per minute starting with the first minute. What is an equation of the form $y=m x+b$ for this situation?

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $y=\sqrt{3 x-5}$

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

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

Graph the linear function. Give the domain and range. - $h(x)=-6$