Question 1

Find an equation of the line that satisfies the conditions. Write the equation in standard form.
-Through $(0,5) ; m=\frac{4}{3}$

Accepted Answer

A)  $4 x-3 y=-15$ 
B)  $4 x+3 y=-15$ 
C)  $3 x-4 y=-15$ 
D)  $4 x-3 y=15$ 
A)  $4 x-3 y=-15$ 
B)  $4 x+3 y=-15$ 
C)  $3 x-4 y=-15$ 
D)  $4 x-3 y=15$

Question 2

Find the average rate of change illustrated in the graph.
-

Accepted Answer

A)  $1 \mathrm{~mm}$ per second 
B)  $.85 \mathrm{~mm}$ per second 
C)  $.75 \mathrm{~mm}$ per second 
D)  $1.3 \mathrm{~mm}$ per second 
A)  $1 \mathrm{~mm}$ per second 
B)  $.85 \mathrm{~mm}$ per second 
C)  $.75 \mathrm{~mm}$ per second 
D)  $1.3 \mathrm{~mm}$ per second

Question 3

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

Accepted Answer

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

Question 4

Graph the inequality or compound inequality.
-$y \geq-3 x-1$ and $x-y \geq-1$

Accepted Answer

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

Question 5

Find the slope and the $y$-intercept of the line.
-$-4 x+6 y=8$

Accepted Answer

A)  Slope $\frac{2}{3} ; y$-intercept $\left(0,-\frac{4}{3}\right)$ 
B)  Slope 4 ; y-intercept $(0,-8)$ 
C)  Slope $\frac{2}{3} ; y$-intercept $\left(0, \frac{4}{3}\right)$ 
D)  Slope $\frac{3}{2} ; y$-intercept $(0,2)$ 
A)  Slope $\frac{2}{3} ; y$-intercept $\left(0,-\frac{4}{3}\right)$ 
B)  Slope 4 ; y-intercept $(0,-8)$ 
C)  Slope $\frac{2}{3} ; y$-intercept $\left(0, \frac{4}{3}\right)$ 
D)  Slope $\frac{3}{2} ; y$-intercept $(0,2)$

Question 6

The equation $y=x^{2}$ is satisfied by the points $(2,4)$ and $(-2,4)$. A horizontal line may be drawn between these two points. Is $\mathrm{y}=\mathrm{x}^{2}$ a function? Explain.

Accepted Answer

Yes. It is a function because for each x

Question 7

Choose the graph that matches the equation
-$y=-4 x-6$

Accepted Answer

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

Question 8

Graph the linear function. Give the domain and range.
-$h(x)= -5x$

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 9

Find the average rate of change illustrated in the graph.
-

Accepted Answer

A)  2.5 miles per hour 
B)  .2 miles per hour 
C)  5 miles per hour 
D)  25 miles per hour 
A)  2.5 miles per hour 
B)  .2 miles per hour 
C)  5 miles per hour 
D)  25 miles per hour

Question 10

Solve the problem. Round your answer, as needed.
-The table below shows the weight for a calf raised by a local rancher. Use the information to determine the average rate of change in the calf's weight per day.

Accepted Answer

A)  5 lbs per day 
B)  500 lbs per day 
C)  50 lbs per day 
D)  $\frac{1}{5} \mathrm{lb}$ per day 
A)  5 lbs per day 
B)  500 lbs per day 
C)  50 lbs per day 
D)  $\frac{1}{5} \mathrm{lb}$ per day

Question 11

Graph the compound inequality.
-$3 x+2 y>4$ or $x>2$

Accepted Answer

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

Question 12

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

Accepted Answer

A)  Function; domain: [0, 10]; range: [-4, -2] 
B)  Not a function; domain: $[-4,-2]$; range: $[0,10]$ 
C)  Function; domain: $[-4,-2]$; range: $[0,10]$ 
D)  Not a function; domain: $[0,10]$; range: $[-4,-2]$ 
A)  Function; domain: [0, 10]; range: [-4, -2] 
B)  Not a function; domain: $[-4,-2]$; range: $[0,10]$ 
C)  Function; domain: $[-4,-2]$; range: $[0,10]$ 
D)  Not a function; domain: $[0,10]$; range: $[-4,-2]$

Question 13

Solve the problem.
-Find $g(a+1)$ when $g(x)=2 x-4$.

Accepted Answer

A)  $2 \mathrm{a}-1$ 
B)  $2 \mathrm{a}-4$ 
C)  $\frac{1}{2} \mathrm{a}-4$ 
D)  $2 \mathrm{a}-2$ 
A)  $2 \mathrm{a}-1$ 
B)  $2 \mathrm{a}-4$ 
C)  $\frac{1}{2} \mathrm{a}-4$ 
D)  $2 \mathrm{a}-2$

Question 14

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

Accepted Answer

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

Question 15

Graph the solution set of the inequality in the rectangular coordinate plane.
-$|y+3|<2$

Accepted Answer

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

Question 16

Find the equation in slope-intercept form of the line satisfying the conditions.
-$\mathrm{m}=\frac{1}{3}$; through $(0,4)$

Accepted Answer

A)  $y=-\frac{1}{3} x-4$ 
B)  $y=\frac{1}{3} x+4$ 
C)  $y=\frac{1}{3} x-4$ 
D)  $y=-\frac{1}{3} x+4$ 
A)  $y=-\frac{1}{3} x-4$ 
B)  $y=\frac{1}{3} x+4$ 
C)  $y=\frac{1}{3} x-4$ 
D)  $y=-\frac{1}{3} x+4$

Question 17

Find the slope and the $y$-intercept of the line.
-$-x+3 y=5$

Accepted Answer

A)  Slope $\frac{1}{3} ; y$-intercept $(0,5)$ 
B)  Slope $-\frac{1}{3} ; y$-intercept $\left(0, \frac{5}{3}\right)$ 
C)  Slope -1 ; y-intercept $\left(0, \frac{5}{3}\right)$ 
D)  Slope $\frac{1}{3} ; y$-intercept $\left(0, \frac{5}{3}\right)$ 
A)  Slope $\frac{1}{3} ; y$-intercept $(0,5)$ 
B)  Slope $-\frac{1}{3} ; y$-intercept $\left(0, \frac{5}{3}\right)$ 
C)  Slope -1 ; y-intercept $\left(0, \frac{5}{3}\right)$ 
D)  Slope $\frac{1}{3} ; y$-intercept $\left(0, \frac{5}{3}\right)$

Question 18

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.
-$\mathrm{y}<\mathrm{x}-\frac{7}{2}$

Accepted Answer

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

Question 19

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form.
-Through $(1,9)$; perpendicular to $x=5$

Accepted Answer

A)  $y=1$ 
B)  $y=-1$ 
C)  $y=9$ 
D)  $y=-9$ 
A)  $y=1$ 
B)  $y=-1$ 
C)  $y=9$ 
D)  $y=-9$

Question 20

Solve the problem. Round your answer, as needed.
-A deep sea diving bell is being lowered at a constant rate. After 12 minutes, the bell is at a depth of $400 \mathrm{ft}$. After 40 minutes the bell is at a depth of $2000 \mathrm{ft}$. What is the average rate of lowering per minute?

Accepted Answer

A)  $0.02 \mathrm{ft}$ per minute 
B)  $40.0 \mathrm{ft}$ per minute 
C)  $57.1 \mathrm{ft}$ per minute 
D)  $50.0 \mathrm{ft}$ per minute 
A)  $0.02 \mathrm{ft}$ per minute 
B)  $40.0 \mathrm{ft}$ per minute 
C)  $57.1 \mathrm{ft}$ per minute 
D)  $50.0 \mathrm{ft}$ per minute

Find an equation of the line that satisfies the conditions. Write the equation in standard form. -Through $(0,5) ; m=\frac{4}{3}$

Find the average rate of change illustrated in the graph. -

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

Graph the inequality or compound inequality. - $y \geq-3 x-1$ and $x-y \geq-1$ $Graph the inequality or compound inequality. - y \geq-3 x-1 and x-y \geq-1$

Find the slope and the $y$ -intercept of the line. - $-4 x+6 y=8$

The equation $y=x^{2}$ is satisfied by the points $(2,4)$ and $(-2,4)$ . A horizontal line may be drawn between these two points. Is $\mathrm{y}=\mathrm{x}^{2}$ a function? Explain.

Choose the graph that matches the equation - $y=-4 x-6$

Graph the linear function. Give the domain and range. - $h(x)= -5x$

Find the average rate of change illustrated in the graph. -

Solve the problem. Round your answer, as needed. -The table below shows the weight for a calf raised by a local rancher. Use the information to determine the average rate of change in the calf's weight per day.

Graph the compound inequality. - $3 x+2 y>4$ or $x>2$

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

Solve the problem. -Find $g(a+1)$ when $g(x)=2 x-4$ .

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

Graph the solution set of the inequality in the rectangular coordinate plane. - $|y+3|<2$

Find the equation in slope-intercept form of the line satisfying the conditions. - $\mathrm{m}=\frac{1}{3}$ ; through $(0,4)$

Find the slope and the $y$ -intercept of the line. - $-x+3 y=5$

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. - $\mathrm{y}<\mathrm{x}-\frac{7}{2}$

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. -Through $(1,9)$ ; perpendicular to $x=5$

Solve the problem. Round your answer, as needed. -A deep sea diving bell is being lowered at a constant rate. After 12 minutes, the bell is at a depth of $400 \mathrm{ft}$ . After 40 minutes the bell is at a depth of $2000 \mathrm{ft}$ . What is the average rate of lowering per minute?

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 that satisfies the conditions. Write the equation in standard form. -Through (0,5);m=43(0,5) ; m=\frac{4}{3}(0,5);m=34​

Find the average rate of change illustrated in the graph. -

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

Graph the inequality or compound inequality. - y≥−3x−1y \geq-3 x-1y≥−3x−1 and x−y≥−1x-y \geq-1x−y≥−1

Find the slope and the yyy -intercept of the line. - −4x+6y=8-4 x+6 y=8−4x+6y=8

The equation y=x2y=x^{2}y=x2 is satisfied by the points (2,4)(2,4)(2,4) and (−2,4)(-2,4)(−2,4) . A horizontal line may be drawn between these two points. Is y=x2\mathrm{y}=\mathrm{x}^{2}y=x2 a function? Explain.

Choose the graph that matches the equation - y=−4x−6y=-4 x-6y=−4x−6

Graph the linear function. Give the domain and range. - h(x)=−5xh(x)= -5xh(x)=−5x

Find the average rate of change illustrated in the graph. -

Solve the problem. Round your answer, as needed. -The table below shows the weight for a calf raised by a local rancher. Use the information to determine the average rate of change in the calf's weight per day.

Graph the compound inequality. - 3x+2y>43 x+2 y>43x+2y>4 or x>2x>2x>2

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

Solve the problem. -Find g(a+1)g(a+1)g(a+1) when g(x)=2x−4g(x)=2 x-4g(x)=2x−4 .

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

Graph the solution set of the inequality in the rectangular coordinate plane. - ∣y+3∣<2|y+3|<2∣y+3∣<2

Find the equation in slope-intercept form of the line satisfying the conditions. - m=13\mathrm{m}=\frac{1}{3}m=31​ ; through (0,4)(0,4)(0,4)

Find the slope and the yyy -intercept of the line. - −x+3y=5-x+3 y=5−x+3y=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<x−72\mathrm{y}<\mathrm{x}-\frac{7}{2}y<x−27​

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. -Through (1,9)(1,9)(1,9) ; perpendicular to x=5x=5x=5

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 that satisfies the conditions. Write the equation in standard form. -Through $(0,5) ; m=\frac{4}{3}$

Graph the inequality or compound inequality. - $y \geq-3 x-1$ and $x-y \geq-1$ $Graph the inequality or compound inequality. - y \geq-3 x-1 and x-y \geq-1$

Find the slope and the $y$ -intercept of the line. - $-4 x+6 y=8$

The equation $y=x^{2}$ is satisfied by the points $(2,4)$ and $(-2,4)$ . A horizontal line may be drawn between these two points. Is $\mathrm{y}=\mathrm{x}^{2}$ a function? Explain.

Choose the graph that matches the equation - $y=-4 x-6$

Graph the linear function. Give the domain and range. - $h(x)= -5x$

Graph the compound inequality. - $3 x+2 y>4$ or $x>2$

Solve the problem. -Find $g(a+1)$ when $g(x)=2 x-4$ .

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

Graph the solution set of the inequality in the rectangular coordinate plane. - $|y+3|<2$

Find the equation in slope-intercept form of the line satisfying the conditions. - $\mathrm{m}=\frac{1}{3}$ ; through $(0,4)$

Find the slope and the $y$ -intercept of the line. - $-x+3 y=5$

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. - $\mathrm{y}<\mathrm{x}-\frac{7}{2}$

Find an equation of the line satisfying the conditions. Write the equation in slope-intercept form. -Through $(1,9)$ ; perpendicular to $x=5$