Question 1

Decide whether the pair of lines is parallel, perpendicular, or neither.
-$18 x+9 y=-9$ and $6 y=3 x+1$

Accepted Answer

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

Question 2

Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical.
-$(-1.8,2.4)$ and $(-2.5,3.8)$

Accepted Answer

A)  $\frac{1}{2}$; rises 
B)  2; rises 
C)  - 2; falls 
D)  $-\frac{1}{2}$; falls 
A)  $\frac{1}{2}$; rises 
B)  2; rises 
C)  - 2; falls 
D)  $-\frac{1}{2}$; falls C

Question 3

Solve the problem.
-Crafty Bill's Cool Car Sales opened as a used car sales lot in 2006. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2008 ?

Accepted Answer

A)  150 cars 
B)  750 cars 
C)  700 cars 
D)  600 cars 
A)  150 cars 
B)  750 cars 
C)  700 cars 
D)  600 cars B

Question 4

Find the equation in slope-intercept form of the line satisfying the conditions.
-Slope $-\frac{2}{5} ; b=\frac{18}{5}$

Accepted Answer

A)  $y=\frac{2}{5} x+\frac{18}{5}$ 
B)  $y=\frac{2}{5} x-\frac{18}{5}$ 
C)  $y=-\frac{2}{5} x+\frac{18}{5}$ 
D)  $y=-\frac{2}{5} x-\frac{18}{5}$ 
A)  $y=\frac{2}{5} x+\frac{18}{5}$ 
B)  $y=\frac{2}{5} x-\frac{18}{5}$ 
C)  $y=-\frac{2}{5} x+\frac{18}{5}$ 
D)  $y=-\frac{2}{5} x-\frac{18}{5}$

Question 5

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

Accepted Answer

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

Question 6

Determine whether the relation defines $y$ as a function of $x$. Give the domain.
-$x y=-9$

Accepted Answer

A)  Not a function; domain: $(-\infty, \infty)$ 
B)  Function; domain: $(-\infty, \infty)$ 
C)  Not a function; domain: $(-\infty, 0) \cup(0, \infty)$ 
D)  Function; domain: $(-\infty, 0) \cup(0, \infty)$ 
A)  Not a function; domain: $(-\infty, \infty)$ 
B)  Function; domain: $(-\infty, \infty)$ 
C)  Not a function; domain: $(-\infty, 0) \cup(0, \infty)$ 
D)  Function; domain: $(-\infty, 0) \cup(0, \infty)$

Question 7

Solve the problem.
-The mathematical model $f(x)=100 x+40,000$ represents the cost in dollars a company has in producing $x$ items during a month. Based on this, how much does it cost to produce 200 items? Interpret the question and answer using function notation.

Accepted Answer

A)  $\$ 20,000 ; \mathrm{f}(200)=20,000$ 
B)  $\$ 60,000 ; \mathrm{f}(200)=60,000$ 
C)  $\$ 20,000 ; \mathrm{f}(20,000)=200$ 
D)  $\$ 60,000 ; \mathrm{f}(60,000)=200$ 
A)  $\$ 20,000 ; \mathrm{f}(200)=20,000$ 
B)  $\$ 60,000 ; \mathrm{f}(200)=60,000$ 
C)  $\$ 20,000 ; \mathrm{f}(20,000)=200$ 
D)  $\$ 60,000 ; \mathrm{f}(60,000)=200$

Question 8

Find an equation of the line that satisfies the conditions. Write the equation in standard form.
-Through (-10, 2); horizontal

Accepted Answer

A)  $x=-2$ 
B)  $x=-10$ 
C)  $y=10$ 
D)  $y=2$ 
A)  $x=-2$ 
B)  $x=-10$ 
C)  $y=10$ 
D)  $y=2$

Question 9

Solve the problem.
-Rental on a car is $\$ 160$ plus $\$ 0.03$ per mile. If $x$ represents the number of miles driven and $f(x)$ represents the total cost to rent the car, a linear function that models the situation is $f(x)=0.03 x+160$. Find the value of $x$ if $f(x)=244$. Interpret your answer in the context of this problem.

Accepted Answer

A)  2800 ; It costs $\$ 2800$ to drive the rental car 244 miles. 
B)  167; It costs $\$ 244$ to drive the rental car 167 miles. 
C)  167 ; It costs $\$ 167$ to drive the rental car 244 miles. 
D)  2800 ; It costs $\$ 244$ to drive the rental car 2800 miles. 
A)  2800 ; It costs $\$ 2800$ to drive the rental car 244 miles. 
B)  167; It costs $\$ 244$ to drive the rental car 167 miles. 
C)  167 ; It costs $\$ 167$ to drive the rental car 244 miles. 
D)  2800 ; It costs $\$ 244$ to drive the rental car 2800 miles.

Question 10

Find an equation of the line passing through the two points. Write the equation in standard form.
-$(5,0)$ and $(1,9)$

Accepted Answer

A)  $-9 x+4 y=45$ 
B)  $-5 x+8 y=-77$ 
C)  $5 x-8 y=-77$ 
D)  $9 x+4 y=45$ 
A)  $-9 x+4 y=45$ 
B)  $-5 x+8 y=-77$ 
C)  $5 x-8 y=-77$ 
D)  $9 x+4 y=45$

Question 11

Solve the problem.
-Suppose that it has been determined that if 100 of a certain fish are introduced into a pond with certain environmental conditions, then in $x$ months, there will be $y=4.35 x+100$ fish in the pond. A portion of the graph of this 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 there could be between 5 and 120 fish in the pond at a certain time 
B)  It means that in 119.6 months, there should be approximately 5 fish in the pond 
C)  It means that there will be fish in the pond in 4.5 months and in 119.6 months 
D)  It means that in 4.5 months, there should be approximately 120 fish in the pond 
A)  It means that there could be between 5 and 120 fish in the pond at a certain time 
B)  It means that in 119.6 months, there should be approximately 5 fish in the pond 
C)  It means that there will be fish in the pond in 4.5 months and in 119.6 months 
D)  It means that in 4.5 months, there should be approximately 120 fish in the pond

Question 12

Decide whether the relation is a function.
-

Accepted Answer

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

Question 13

Name the quadrants totally or partially shaded in the graph of $y>m x+b$, when $m>0, b>$ 0.

Accepted Answer

The answer of Name the quadrants totally or partially shaded...

Question 14

Graph the compound inequality.
-$3 x+y \geq 3$ or $x-4 y \leq 1$

Accepted Answer

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

Question 15

Decide whether the relation is a function.
-$\{(-4,1),(-3,-6),(3,-8),(3,4)\}$

Accepted Answer

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

Question 16

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form.
-Through $(-4,-6)$ and perpendicular to $y=\frac{1}{2} x+13$

Accepted Answer

A)  (a) $y=2 x-14$
(b) $2 x-y=-14$ 
B)  (a) $y=\frac{1}{2} x-4$
(b) $x-2 y=8$ 
C)  (a) $y=-\frac{1}{2} x-8$
(b) $x+2 y=-16$ 
D)  (a) $y=-2 x-14$
(b) $2 x+y=-14$ 
A)  (a) $y=2 x-14$
(b) $2 x-y=-14$ 
B)  (a) $y=\frac{1}{2} x-4$
(b) $x-2 y=8$ 
C)  (a) $y=-\frac{1}{2} x-8$
(b) $x+2 y=-16$ 
D)  (a) $y=-2 x-14$
(b) $2 x+y=-14$

Question 17

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

Accepted Answer

A)  Not a function; domain: $(-\infty, \infty)$; range: $(-\infty, 4]$ 
B)  Not a function; domain: $(-\infty, 4$ ]; range: $(-\infty, \infty)$ 
C)  Function; domain: $(-\infty, 4$ ]; range: $(-\infty, \infty)$ 
D)  Function; domain: $(-\infty, \infty)$; range: $(-\infty, 4]$ 
A)  Not a function; domain: $(-\infty, \infty)$; range: $(-\infty, 4]$ 
B)  Not a function; domain: $(-\infty, 4$ ]; range: $(-\infty, \infty)$ 
C)  Function; domain: $(-\infty, 4$ ]; range: $(-\infty, \infty)$ 
D)  Function; domain: $(-\infty, \infty)$; range: $(-\infty, 4]$

Question 18

The graph of $y>0$ lies in which two quadrants?

Accepted Answer

The answer of The graph of $y>0$ lies in which...

Question 19

Solve the problem.
-The graphing calculator screens show the graph of one of the equations below. Which equation is it?

Accepted Answer

A)  $-3 x+4 y=12$ 
B)  $3 x+4 y=12$ 
C)  $3 x-4 y=12$ 
D)  $3 x-4 y=-12$ 
A)  $-3 x+4 y=12$ 
B)  $3 x+4 y=12$ 
C)  $3 x-4 y=12$ 
D)  $3 x-4 y=-12$

Question 20

Solve the problem.
-Suppose that the speed at which an experienced person can paddle a canoe upstream is approximated by $y=-2.5 x+15(0<x<6)$, where $x$ is the number of hours paddled and $y$ is the speed of the canoe in miles per hour. A portion of the graph of this 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 after 7.5 hours of paddling, the canoe is traveling at a speed of 3 miles per hour. 
B)  It means that after 3 hours of paddling, the canoe is traveling at a speed of 7.5 miles per hour. 
C)  It means that an experienced person can paddle between 3 and 7.5 hours. 
D)  It means that the canoe can travel at a speed of between 3 and 7.5 miles per hour 
A)  It means that after 7.5 hours of paddling, the canoe is traveling at a speed of 3 miles per hour. 
B)  It means that after 3 hours of paddling, the canoe is traveling at a speed of 7.5 miles per hour. 
C)  It means that an experienced person can paddle between 3 and 7.5 hours. 
D)  It means that the canoe can travel at a speed of between 3 and 7.5 miles per hour

Decide whether the pair of lines is parallel, perpendicular, or neither. - $18 x+9 y=-9$ and $6 y=3 x+1$

Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. - $(-1.8,2.4)$ and $(-2.5,3.8)$

Solve the problem. -Crafty Bill's Cool Car Sales opened as a used car sales lot in 2006. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2008 ?

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope $-\frac{2}{5} ; b=\frac{18}{5}$

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

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $x y=-9$

Solve the problem. -The mathematical model $f(x)=100 x+40,000$ represents the cost in dollars a company has in producing $x$ items during a month. Based on this, how much does it cost to produce 200 items? Interpret the question and answer using function notation.

Find an equation of the line that satisfies the conditions. Write the equation in standard form. -Through (-10, 2); horizontal

Find an equation of the line passing through the two points. Write the equation in standard form. - $(5,0)$ and $(1,9)$

Decide whether the relation is a function. -

Name the quadrants totally or partially shaded in the graph of $y>m x+b$ , when $m>0, b>$ 0.

Graph the compound inequality. - $3 x+y \geq 3$ or $x-4 y \leq 1$ $Graph the compound inequality. - 3 x+y \geq 3 or x-4 y \leq 1$

Decide whether the relation is a function. - $\{(-4,1),(-3,-6),(3,-8),(3,4)\}$

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through $(-4,-6)$ and perpendicular to $y=\frac{1}{2} x+13$

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

The graph of $y>0$ lies in which two quadrants?

Solve the problem. -The graphing calculator screens show the graph of one of the equations below. Which equation is it?

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. - 18x+9y=−918 x+9 y=-918x+9y=−9 and 6y=3x+16 y=3 x+16y=3x+1

Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. - (−1.8,2.4)(-1.8,2.4)(−1.8,2.4) and (−2.5,3.8)(-2.5,3.8)(−2.5,3.8)

Solve the problem. -Crafty Bill's Cool Car Sales opened as a used car sales lot in 2006. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 2008 ?

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope −25;b=185-\frac{2}{5} ; b=\frac{18}{5}−52​;b=518​

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

Determine whether the relation defines yyy as a function of xxx . Give the domain. - xy=−9x y=-9xy=−9

Solve the problem. -The mathematical model f(x)=100x+40,000f(x)=100 x+40,000f(x)=100x+40,000 represents the cost in dollars a company has in producing xxx items during a month. Based on this, how much does it cost to produce 200 items? Interpret the question and answer using function notation.

Find an equation of the line that satisfies the conditions. Write the equation in standard form. -Through (-10, 2); horizontal

Find an equation of the line passing through the two points. Write the equation in standard form. - (5,0)(5,0)(5,0) and (1,9)(1,9)(1,9)

Decide whether the relation is a function. -

Name the quadrants totally or partially shaded in the graph of y>mx+by>m x+by>mx+b , when m>0,b>m>0, b>m>0,b> 0.

Graph the compound inequality. - 3x+y≥33 x+y \geq 33x+y≥3 or x−4y≤1x-4 y \leq 1x−4y≤1

Decide whether the relation is a function. - {(−4,1),(−3,−6),(3,−8),(3,4)}\{(-4,1),(-3,-6),(3,-8),(3,4)\}{(−4,1),(−3,−6),(3,−8),(3,4)}

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through (−4,−6)(-4,-6)(−4,−6) and perpendicular to y=12x+13y=\frac{1}{2} x+13y=21​x+13

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

The graph of y>0y>0y>0 lies in which two quadrants?

Solve the problem. -The graphing calculator screens show the graph of one of the equations below. Which equation is it?

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. - $18 x+9 y=-9$ and $6 y=3 x+1$

Find the slope of the line through the given pair of points, if possible. Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is horizontal, or is vertical. - $(-1.8,2.4)$ and $(-2.5,3.8)$

Find the equation in slope-intercept form of the line satisfying the conditions. -Slope $-\frac{2}{5} ; b=\frac{18}{5}$

Determine whether the relation defines $y$ as a function of $x$ . Give the domain. - $x y=-9$

Solve the problem. -The mathematical model $f(x)=100 x+40,000$ represents the cost in dollars a company has in producing $x$ items during a month. Based on this, how much does it cost to produce 200 items? Interpret the question and answer using function notation.

Find an equation of the line passing through the two points. Write the equation in standard form. - $(5,0)$ and $(1,9)$

Name the quadrants totally or partially shaded in the graph of $y>m x+b$ , when $m>0, b>$ 0.

Graph the compound inequality. - $3 x+y \geq 3$ or $x-4 y \leq 1$ $Graph the compound inequality. - 3 x+y \geq 3 or x-4 y \leq 1$

Decide whether the relation is a function. - $\{(-4,1),(-3,-6),(3,-8),(3,4)\}$

Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard form. -Through $(-4,-6)$ and perpendicular to $y=\frac{1}{2} x+13$

The graph of $y>0$ lies in which two quadrants?