Question 1

Find the slope of the line, if it is defined.
-Through (-2, -7) and (-4, 3)

Accepted Answer

A)  -5 
B)  Undefined 
C)  10 
D)  -2 
A)  -5 
B)  Undefined 
C)  10 
D)  -2

Question 2

Write an equation in standard form for a line passing through the pair of points.
-$(-2,1)$ and $(6,1)$

Accepted Answer

A)  $-2 x+6 y=0$ 
B)  $x=-2$ 
C)  $y=1$ 
D)  $6 x-2 y=0$ 
A)  $-2 x+6 y=0$ 
B)  $x=-2$ 
C)  $y=1$ 
D)  $6 x-2 y=0$

Question 3

Solve the inequality.
-Correct Computers, Inc., finds that the cost to make $x$ laptop computers is $C=3316 x+147,692$, while the revenue produced from them is $\mathrm{R}=3537 \mathrm{x}$ ( $\mathrm{C}$ and $\mathrm{R}$ are in dollars). What is the smallest whole number of computers, $x$, that must be sold for the company to show a profit?

Accepted Answer

A)  $32,639,932$ 
B)  22 
C)  669 
D)  $1,012,133,276$ 
A)  $32,639,932$ 
B)  22 
C)  669 
D)  $1,012,133,276$

Question 4

Convert the temperature.
-$176^{\circ} \mathrm{C}=-{ }^{\circ} \mathrm{F}$

Accepted Answer

A)  $348.8^{\circ} \mathrm{F}$ 
B)  $374.4^{\circ} \mathrm{F}$ 
C)  $180.0^{\circ} \mathrm{F}$ 
D)  $129.8^{\circ} \mathrm{F}$ 
A)  $348.8^{\circ} \mathrm{F}$ 
B)  $374.4^{\circ} \mathrm{F}$ 
C)  $180.0^{\circ} \mathrm{F}$ 
D)  $129.8^{\circ} \mathrm{F}$

Question 5

Solve the problem.
-  Which month in 1989 had the lowest sales?

Accepted Answer

A)  Month 8 
B)  Month 6 
C)  Month 2 
D)  Month 3 
A)  Month 8 
B)  Month 6 
C)  Month 2 
D)  Month 3

Question 6

Solve and graph the inequality and graph the solution.
-$x-5<1$

Accepted Answer

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

Question 7

Use a graphing calculator to approximate all real solutions of the equation.
-$y=x^{3}-12 x-16$

Accepted Answer

A)  $-2,-2,4$ 
B)  $-2,2,4$ 
C)  $-4,-2,2$ 
D)  $2,-2,4$ 
A)  $-2,-2,4$ 
B)  $-2,2,4$ 
C)  $-4,-2,2$ 
D)  $2,-2,4$

Question 8

Solve the inequality.
-$\frac{-2}{-2 x-2}>0$

Accepted Answer

A)  $(-1, \infty)$ 
B)  $(0, \infty)$ 
C)  $(-\infty,-1)$ 
D)  $(-\infty, 1)$ 
A)  $(-1, \infty)$ 
B)  $(0, \infty)$ 
C)  $(-\infty,-1)$ 
D)  $(-\infty, 1)$

Question 9

Solve and graph the inequality and graph the solution.
-$4 z-3>3 z-7$

Accepted Answer

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

Question 10

Solve the problem.
-The profit made when $t$ units are sold, $t>0$, is given by $P=t^{2}-28 t+180$. Determine the number of units to be sold in order for $\mathrm{P}>0$ (a profit is made).

Accepted Answer

A) $\mathrm{t}>18$ or $\mathrm{t}<10$ B) $18<\mathrm{t}<10$ C) $t=28$ D) $t=18$ or $t=10$ A) $\mathrm{t}>18$ or $\mathrm{t}<10$ B) $18<\mathrm{t}<10$ C) $t=28$ D) $t=18$ or $t=10$

Question 11

Convert the temperature.
-$60^{\circ} \mathrm{F}=-{ }^{\circ} \mathrm{C}$

Accepted Answer

A)  $15.6^{\circ} \mathrm{C}$ 
B)  $76.0^{\circ} \mathrm{C}$ 
C)  $1.3^{\circ} \mathrm{C}$ 
D)  $140.0^{\circ} \mathrm{C}$ 
A)  $15.6^{\circ} \mathrm{C}$ 
B)  $76.0^{\circ} \mathrm{C}$ 
C)  $1.3^{\circ} \mathrm{C}$ 
D)  $140.0^{\circ} \mathrm{C}$

Question 12

Use the given data points to construct a linear model, then use the model to find the appropriate Celsius or Fahrenheit temperature.
- 
Choose any two data points and use them to construct a linear equation that models the data, with $x$ being Fahrenheit and y Celsius. Then use the equation to find the Celsius temperature corresponding to $176^{\circ}$ Fahrenheit.

Accepted Answer

A)  $y=\frac{5}{9}(x+32) ; 116^{\circ}$ Celsius 
B)  $y=\frac{5}{9}(x-32) ; 80^{\circ}$ Celsius 
C)  $\mathrm{y}=\frac{9}{5}(\mathrm{x}+32) ; 374^{\circ}$ Celsius 
D)  $\mathrm{y}=\frac{9}{5}(\mathrm{x}-32) ; 259^{\circ}$ Celsius 
A)  $y=\frac{5}{9}(x+32) ; 116^{\circ}$ Celsius 
B)  $y=\frac{5}{9}(x-32) ; 80^{\circ}$ Celsius 
C)  $\mathrm{y}=\frac{9}{5}(\mathrm{x}+32) ; 374^{\circ}$ Celsius 
D)  $\mathrm{y}=\frac{9}{5}(\mathrm{x}-32) ; 259^{\circ}$ Celsius

Question 13

Decide whether the pair of lines is parallel, perpendicular, or neither.
-The line through $(3,-5)$ and $(-1,7)$ and the line through $(6,-13)$ and $(-2,11)$

Accepted Answer

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

Question 14

Find the x-intercepts and y-intercepts of the graph of the equation.
-$y=x^{2}+3$

Accepted Answer

A)  $y$-intercept: 3 ; no $x$-intercepts 
B)  $y$-intercept: 0; no $x$-intercepts 
C)  $y$-intercept: $3 ; x$-intercept: 0 
D)  $x$-intercept: 3; no $y$-intercepts 
A)  $y$-intercept: 3 ; no $x$-intercepts 
B)  $y$-intercept: 0; no $x$-intercepts 
C)  $y$-intercept: $3 ; x$-intercept: 0 
D)  $x$-intercept: 3; no $y$-intercepts

Question 15

Solve and graph the inequality and graph the solution.
-$-12 x+10 \geq-11 x+2$

Accepted Answer

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

Question 16

Solve the inequality.
-$\mathrm{s}^{2}-4 \mathrm{~s}-21<0$

Accepted Answer

A)  $(7, \infty)$ 
B)  $(-3,7)$ 
C)  $(-\infty,-3)$ or $(7, \infty)$ 
D)  $(-\infty,-3)$ 
A)  $(7, \infty)$ 
B)  $(-3,7)$ 
C)  $(-\infty,-3)$ or $(7, \infty)$ 
D)  $(-\infty,-3)$

Question 17

Solve the problem.
-The bank's temperature display shows that it is $30^{\circ}$ Celsius. What is the temperature in Fahrenheit?

Accepted Answer

A)  $34.4^{\circ}$ 
B)  $86.0^{\circ}$ 
C)  $-1.1^{\circ}$ 
D)  $111.6^{\circ}$ 
A)  $34.4^{\circ}$ 
B)  $86.0^{\circ}$ 
C)  $-1.1^{\circ}$ 
D)  $111.6^{\circ}$

Question 18

Solve the inequality.
-In order for a chemical reaction to remain stable, its Celsius temperature must be no more than $131.77^{\circ} \mathrm{C}$. Find the Farenheit temperatures at which the reaction will remain stable. $\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right)$

Accepted Answer

A)  $\mathrm{F} \leq 269.19^{\circ}$ 
B)  $\mathrm{F} \geq 55.43^{\circ}$ 
C)  $\mathrm{F} \geq 269.19^{\circ}$ 
D)  $\mathrm{F} \leq 55.43^{\circ}$ 
A)  $\mathrm{F} \leq 269.19^{\circ}$ 
B)  $\mathrm{F} \geq 55.43^{\circ}$ 
C)  $\mathrm{F} \geq 269.19^{\circ}$ 
D)  $\mathrm{F} \leq 55.43^{\circ}$

Question 19

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form.
-$(4,4), \mathrm{m}=-\frac{5}{9}$

Accepted Answer

A)  $y=\frac{5}{9} x+\frac{56}{9}$ 
B)  $y=-\frac{5}{9} x-\frac{56}{9}$ 
C)  $y=-\frac{5}{9} x+\frac{56}{9}$ 
D)  $y=\frac{5}{9} x-\frac{56}{9}$ 
A)  $y=\frac{5}{9} x+\frac{56}{9}$ 
B)  $y=-\frac{5}{9} x-\frac{56}{9}$ 
C)  $y=-\frac{5}{9} x+\frac{56}{9}$ 
D)  $y=\frac{5}{9} x-\frac{56}{9}$

Question 20

Solve the inequality.
-A car rental company has two rental rates. Rate 1 is $\$ 63$ per day plus $\$ 0.18$ per mile. Rate 2 is $\$ 126$ per day plus $\$ 0.09$ per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?

Accepted Answer

A)  more than 9800 miles 
B)  more than 17,150 miles 
C)  more than 5000 miles 
D)  more than 4900 miles 
A)  more than 9800 miles 
B)  more than 17,150 miles 
C)  more than 5000 miles 
D)  more than 4900 miles

Find the slope of the line, if it is defined. -Through (-2, -7) and (-4, 3)

Write an equation in standard form for a line passing through the pair of points. - $(-2,1)$ and $(6,1)$

Convert the temperature. - $176^{\circ} \mathrm{C}=-{ }^{\circ} \mathrm{F}$

Solve the problem. - Which month in 1989 had the lowest sales?

Solve and graph the inequality and graph the solution. - $x-5<1$

Use a graphing calculator to approximate all real solutions of the equation. - $y=x^{3}-12 x-16$

Solve the inequality. - $\frac{-2}{-2 x-2}>0$

Solve and graph the inequality and graph the solution. - $4 z-3>3 z-7$

Solve the problem. -The profit made when $t$ units are sold, $t>0$ , is given by $P=t^{2}-28 t+180$ . Determine the number of units to be sold in order for $\mathrm{P}>0$ (a profit is made).

Convert the temperature. - $60^{\circ} \mathrm{F}=-{ }^{\circ} \mathrm{C}$

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through $(3,-5)$ and $(-1,7)$ and the line through $(6,-13)$ and $(-2,11)$

Find the x-intercepts and y-intercepts of the graph of the equation. - $y=x^{2}+3$

Solve and graph the inequality and graph the solution. - $-12 x+10 \geq-11 x+2$ $Solve and graph the inequality and graph the solution. - -12 x+10 \geq-11 x+2$

Solve the inequality. - $\mathrm{s}^{2}-4 \mathrm{~s}-21<0$

Solve the problem. -The bank's temperature display shows that it is $30^{\circ}$ Celsius. What is the temperature in Fahrenheit?

Solve the inequality. -In order for a chemical reaction to remain stable, its Celsius temperature must be no more than $131.77^{\circ} \mathrm{C}$ . Find the Farenheit temperatures at which the reaction will remain stable. $\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right)$

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. - $(4,4), \mathrm{m}=-\frac{5}{9}$

Solve the inequality. -A car rental company has two rental rates. Rate 1 is $\$ 63$ per day plus $\$ 0.18$ per mile. Rate 2 is $\$ 126$ per day plus $\$ 0.09$ per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?

Algebra and Equations

Functions and Graphs

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Linear Programming

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Introduction to Statistics

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Exam 2: Graphs, Lines, and Inequalities

Find the slope of the line, if it is defined. -Through (-2, -7) and (-4, 3)

Write an equation in standard form for a line passing through the pair of points. - (−2,1)(-2,1)(−2,1) and (6,1)(6,1)(6,1)

Convert the temperature. - 176∘C=−∘F176^{\circ} \mathrm{C}=-{ }^{\circ} \mathrm{F}176∘C=−∘F

Solve the problem. - Which month in 1989 had the lowest sales?

Solve and graph the inequality and graph the solution. - x−5<1x-5<1x−5<1

Use a graphing calculator to approximate all real solutions of the equation. - y=x3−12x−16y=x^{3}-12 x-16y=x3−12x−16

Solve the inequality. - −2−2x−2>0\frac{-2}{-2 x-2}>0−2x−2−2​>0

Solve and graph the inequality and graph the solution. - 4z−3>3z−74 z-3>3 z-74z−3>3z−7

Solve the problem. -The profit made when ttt units are sold, t>0t>0t>0 , is given by P=t2−28t+180P=t^{2}-28 t+180P=t2−28t+180 . Determine the number of units to be sold in order for P>0\mathrm{P}>0P>0 (a profit is made).

Convert the temperature. - 60∘F=−∘C60^{\circ} \mathrm{F}=-{ }^{\circ} \mathrm{C}60∘F=−∘C

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through (3,−5)(3,-5)(3,−5) and (−1,7)(-1,7)(−1,7) and the line through (6,−13)(6,-13)(6,−13) and (−2,11)(-2,11)(−2,11)

Find the x-intercepts and y-intercepts of the graph of the equation. - y=x2+3y=x^{2}+3y=x2+3

Solve and graph the inequality and graph the solution. - −12x+10≥−11x+2-12 x+10 \geq-11 x+2−12x+10≥−11x+2

Solve the inequality. - s2−4 s−21<0\mathrm{s}^{2}-4 \mathrm{~s}-21<0s2−4 s−21<0

Solve the problem. -The bank's temperature display shows that it is 30∘30^{\circ}30∘ Celsius. What is the temperature in Fahrenheit?

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. - (4,4),m=−59(4,4), \mathrm{m}=-\frac{5}{9}(4,4),m=−95​

Solve the inequality. -A car rental company has two rental rates. Rate 1 is $63\$ 63$63 per day plus $0.18\$ 0.18$0.18 per mile. Rate 2 is $126\$ 126$126 per day plus $0.09\$ 0.09$0.09 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?

Algebra and Equations

Functions and Graphs

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Linear Programming

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Introduction to Statistics

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Write an equation in standard form for a line passing through the pair of points. - $(-2,1)$ and $(6,1)$

Convert the temperature. - $176^{\circ} \mathrm{C}=-{ }^{\circ} \mathrm{F}$

Solve and graph the inequality and graph the solution. - $x-5<1$

Use a graphing calculator to approximate all real solutions of the equation. - $y=x^{3}-12 x-16$

Solve the inequality. - $\frac{-2}{-2 x-2}>0$

Solve and graph the inequality and graph the solution. - $4 z-3>3 z-7$

Solve the problem. -The profit made when $t$ units are sold, $t>0$ , is given by $P=t^{2}-28 t+180$ . Determine the number of units to be sold in order for $\mathrm{P}>0$ (a profit is made).

Convert the temperature. - $60^{\circ} \mathrm{F}=-{ }^{\circ} \mathrm{C}$

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through $(3,-5)$ and $(-1,7)$ and the line through $(6,-13)$ and $(-2,11)$

Find the x-intercepts and y-intercepts of the graph of the equation. - $y=x^{2}+3$

Solve and graph the inequality and graph the solution. - $-12 x+10 \geq-11 x+2$ $Solve and graph the inequality and graph the solution. - -12 x+10 \geq-11 x+2$

Solve the inequality. - $\mathrm{s}^{2}-4 \mathrm{~s}-21<0$

Solve the problem. -The bank's temperature display shows that it is $30^{\circ}$ Celsius. What is the temperature in Fahrenheit?

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. - $(4,4), \mathrm{m}=-\frac{5}{9}$

Solve the inequality. -A car rental company has two rental rates. Rate 1 is $\$ 63$ per day plus $\$ 0.18$ per mile. Rate 2 is $\$ 126$ per day plus $\$ 0.09$ per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?