Question 1

Identify whether the slope is positive, negative, zero, or undefined.
-

Accepted Answer

A)  Undefined 
B)  Positive 
C)  Zero 
D)  Negative 
A)  Undefined 
B)  Positive 
C)  Zero 
D)  Negative

Question 2

sketch the graph of the equation.
-$y=\frac{1}{3} x^{3}-3$

Accepted Answer

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

Question 3

Solve the inequality.
-$\mathrm{p}^{3}-9 \mathrm{p} \leq 0$

Accepted Answer

A)  $(-\infty,-3]$ or $(0,3)$ 
B)  $(-\infty,-3]$ or $[0,3]$ 
C)  $(-\infty,-3)$ or $[0,3]$ 
D)  $(-\infty,-3)$ or $(0,3)$ 
A)  $(-\infty,-3]$ or $(0,3)$ 
B)  $(-\infty,-3]$ or $[0,3]$ 
C)  $(-\infty,-3)$ or $[0,3]$ 
D)  $(-\infty,-3)$ or $(0,3)$

Question 4

Write an equation in slope-intercept form of a line satisfying the given conditions.
-Slope - $\frac{4}{9} ; y$-intercept 3

Accepted Answer

A)  $y=-\frac{4}{9} x+3$ 
B)  $y=\frac{4}{9} x-3$ 
C)  $y=\frac{4}{9} x+3$ 
D)  $y=-\frac{4}{9} x-3$ 
A)  $y=-\frac{4}{9} x+3$ 
B)  $y=\frac{4}{9} x-3$ 
C)  $y=\frac{4}{9} x+3$ 
D)  $y=-\frac{4}{9} x-3$

Question 5

Solve the problem.
-On a summer day, the surface water of a lake is at a temperature of $28^{\circ} \mathrm{Celsius.}$. What is this temperature in Fahrenheit?

Accepted Answer

A)  $50.4^{\circ}$ 
B)  $82.4^{\circ}$ 
C)  $60^{\circ}$ 
D)  $28^{\circ}$ 
A)  $50.4^{\circ}$ 
B)  $82.4^{\circ}$ 
C)  $60^{\circ}$ 
D)  $28^{\circ}$

Question 6

Solve the problem.
-If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $\mathrm{h}=-9.8 \mathrm{t}^{2}+117.6 \mathrm{t}$. During what interval of time will the rocket be higher than $343 \mathrm{~m}$ ?

Accepted Answer

A)  $5<\mathrm{t}<7$ 
B)  $0<$ t $<5$ 
C)  $10<\mathrm{t}<12$ 
D)  $7<\mathrm{t}<10$ 
A)  $5<\mathrm{t}<7$ 
B)  $0<$ t $<5$ 
C)  $10<\mathrm{t}<12$ 
D)  $7<\mathrm{t}<10$

Question 7

Find the x-intercepts and y-intercepts of the graph of the equation.
-$x+y=5$

Accepted Answer

A)  $x$-intercept: $5 ; y$-intercept: 5 
B)  $x$-intercept: $2 ; y$-intercept: 3 
C)  $x$-intercept: $5 ; y$-intercept: 3 
D)  $x$-intercept: $3 ; y$-intercept: 2 
A)  $x$-intercept: $5 ; y$-intercept: 5 
B)  $x$-intercept: $2 ; y$-intercept: 3 
C)  $x$-intercept: $5 ; y$-intercept: 3 
D)  $x$-intercept: $3 ; y$-intercept: 2

Question 8

Graph the linear equation.
-$-3 x-27 y=12$

Accepted Answer

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

Question 9

Solve the problem.
-The outdoor temperature rises by $12^{\circ}$ Fahrenheit. What is this temperature in Celsius?

Accepted Answer

A)  $-20^{\circ}$ 
B)  $6.7^{\circ}$ 
C)  $12^{\circ}$ 
D)  $-11.1^{\circ}$ 
A)  $-20^{\circ}$ 
B)  $6.7^{\circ}$ 
C)  $12^{\circ}$ 
D)  $-11.1^{\circ}$

Question 10

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form.
-$(0,2), \mathrm{m}=-\frac{5}{6}$

Accepted Answer

A)  $y=\frac{5}{6} x+2$ 
B)  $y=-\frac{5}{6} x-2$ 
C)  $y=\frac{5}{6} x-2$ 
D)  $y=-\frac{5}{6} x+2$ 
A)  $y=\frac{5}{6} x+2$ 
B)  $y=-\frac{5}{6} x-2$ 
C)  $y=\frac{5}{6} x-2$ 
D)  $y=-\frac{5}{6} x+2$

Question 11

Find the slope of the line, if it is defined.
-Through $(1,-9)$ and $(8,8)$

Accepted Answer

A)  $2 \frac{3}{7}$ 
B)  1 
C)  Undefined 
D)  $-2 \frac{3}{7}$ 
A)  $2 \frac{3}{7}$ 
B)  1 
C)  Undefined 
D)  $-2 \frac{3}{7}$

Question 12

Give the x-intercepts and y-intercepts of the graph.
-

Accepted Answer

A)  $x$-intercept: $-3 ; y$-intercept: -5 
B)  $x$-intercept: 3; y-intercept: 5 
C)  $x$-intercept: 5; y-intercept: 3 
D)  $x$-intercept: $-5 ; y$-intercept: -3 
A)  $x$-intercept: $-3 ; y$-intercept: -5 
B)  $x$-intercept: 3; y-intercept: 5 
C)  $x$-intercept: 5; y-intercept: 3 
D)  $x$-intercept: $-5 ; y$-intercept: -3

Question 13

Find the $x$ - and $y$-intercepts for the equation. Then graph the equation.
-$6 x-18 y=0$

Accepted Answer

A)    
B)    
A)    
B)

Question 14

Determine whether the given ordered pair is a solution of the given equation.
-$3 x+2 y-25=0 ;(5,5)$

Accepted Answer

A) True 
 B)False

Question 15

Solve the problem.
-A rectangular enclosure must have an area of at least $500 \mathrm{yd}^{2}$. If $120 \mathrm{yd}$ of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

Accepted Answer

A)  $10 \leq \mathrm{w} \leq 50$ 
B)  $30 \leq \mathrm{w} \leq 50$ 
C)  $10 \leq \mathrm{w} \leq 30$ 
D)  $0 \leq \mathrm{w} \leq 10$ 
A)  $10 \leq \mathrm{w} \leq 50$ 
B)  $30 \leq \mathrm{w} \leq 50$ 
C)  $10 \leq \mathrm{w} \leq 30$ 
D)  $0 \leq \mathrm{w} \leq 10$

Question 16

Solve the inequality and graph the solution.
-$|8 s+3|<|s+5|$

Accepted Answer

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

Question 17

Solve and graph the inequality and graph the solution.
-$\frac{4 x-3}{-2}<-\frac{5}{4}$

Accepted Answer

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

Question 18

Identify whether the slope is positive, negative, zero, or undefined.
-

Accepted Answer

A)  Negative 
B)  Zero 
C)  Undefined 
D)  Positive 
A)  Negative 
B)  Zero 
C)  Undefined 
D)  Positive

Question 19

Solve the problem.
-A retailer knows that $n$ games can be sold in a month if the price is $30-0.2 n$ dollars per game. If he buys each game for $\$ 18$, and if he wishes to make a profit of at least $\$ 160$ per month on sales of this game, how many games must he sell each month?

Accepted Answer

A)  $20 \leq \mathrm{n} \leq 60$ 
B)  $20 \leq n \leq 20$ 
C)  $20 \leq \mathrm{n} \leq 30$ 
D)  $20 \leq \mathrm{n} \leq 40$ 
A)  $20 \leq \mathrm{n} \leq 60$ 
B)  $20 \leq n \leq 20$ 
C)  $20 \leq \mathrm{n} \leq 30$ 
D)  $20 \leq \mathrm{n} \leq 40$

Question 20

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form.
-$(0,6), \mathrm{m}=\frac{6}{5}$

Accepted Answer

A)  $y=-\frac{6}{5} x-6$ 
B)  $y=-\frac{6}{5} x+6$ 
C)  $y=\frac{6}{5} x-6$ 
D)  $y=\frac{6}{5} x+6$ 
A)  $y=-\frac{6}{5} x-6$ 
B)  $y=-\frac{6}{5} x+6$ 
C)  $y=\frac{6}{5} x-6$ 
D)  $y=\frac{6}{5} x+6$

Identify whether the slope is positive, negative, zero, or undefined. -

sketch the graph of the equation. - $y=\frac{1}{3} x^{3}-3$ $sketch the graph of the equation. - y=\frac{1}{3} x^{3}-3$

Solve the inequality. - $\mathrm{p}^{3}-9 \mathrm{p} \leq 0$

Write an equation in slope-intercept form of a line satisfying the given conditions. -Slope - $\frac{4}{9} ; y$ -intercept 3

Solve the problem. -On a summer day, the surface water of a lake is at a temperature of $28^{\circ} \mathrm{Celsius.}$ . What is this temperature in Fahrenheit?

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $\mathrm{h}=-9.8 \mathrm{t}^{2}+117.6 \mathrm{t}$ . During what interval of time will the rocket be higher than $343 \mathrm{~m}$ ?

Find the x-intercepts and y-intercepts of the graph of the equation. - $x+y=5$

Graph the linear equation. - $-3 x-27 y=12$

Solve the problem. -The outdoor temperature rises by $12^{\circ}$ Fahrenheit. What is this temperature in Celsius?

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. - $(0,2), \mathrm{m}=-\frac{5}{6}$

Find the slope of the line, if it is defined. -Through $(1,-9)$ and $(8,8)$

Give the x-intercepts and y-intercepts of the graph. -

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $6 x-18 y=0$

Determine whether the given ordered pair is a solution of the given equation. - $3 x+2 y-25=0 ;(5,5)$

Solve the problem. -A rectangular enclosure must have an area of at least $500 \mathrm{yd}^{2}$ . If $120 \mathrm{yd}$ of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

Solve the inequality and graph the solution. - $|8 s+3|<|s+5|$

Solve and graph the inequality and graph the solution. - $\frac{4 x-3}{-2}<-\frac{5}{4}$ $Solve and graph the inequality and graph the solution. - \frac{4 x-3}{-2}<-\frac{5}{4}$

Identify whether the slope is positive, negative, zero, or undefined. -

Solve the problem. -A retailer knows that $n$ games can be sold in a month if the price is $30-0.2 n$ dollars per game. If he buys each game for $\$ 18$ , and if he wishes to make a profit of at least $\$ 160$ per month on sales of this game, how many games must he sell each month?

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. - $(0,6), \mathrm{m}=\frac{6}{5}$

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

Identify whether the slope is positive, negative, zero, or undefined. -

sketch the graph of the equation. - y=13x3−3y=\frac{1}{3} x^{3}-3y=31​x3−3

Solve the inequality. - p3−9p≤0\mathrm{p}^{3}-9 \mathrm{p} \leq 0p3−9p≤0

Write an equation in slope-intercept form of a line satisfying the given conditions. -Slope - 49;y\frac{4}{9} ; y94​;y -intercept 3

Solve the problem. -On a summer day, the surface water of a lake is at a temperature of 28∘Celsius.28^{\circ} \mathrm{Celsius.}28∘Celsius. . What is this temperature in Fahrenheit?

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after ttt seconds is given by h=−9.8t2+117.6t\mathrm{h}=-9.8 \mathrm{t}^{2}+117.6 \mathrm{t}h=−9.8t2+117.6t . During what interval of time will the rocket be higher than 343 m343 \mathrm{~m}343 m ?

Find the x-intercepts and y-intercepts of the graph of the equation. - x+y=5x+y=5x+y=5

Graph the linear equation. - −3x−27y=12-3 x-27 y=12−3x−27y=12

Solve the problem. -The outdoor temperature rises by 12∘12^{\circ}12∘ Fahrenheit. What is this temperature in Celsius?

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. - (0,2),m=−56(0,2), \mathrm{m}=-\frac{5}{6}(0,2),m=−65​

Find the slope of the line, if it is defined. -Through (1,−9)(1,-9)(1,−9) and (8,8)(8,8)(8,8)

Give the x-intercepts and y-intercepts of the graph. -

Find the xxx - and yyy -intercepts for the equation. Then graph the equation. - 6x−18y=06 x-18 y=06x−18y=0

Determine whether the given ordered pair is a solution of the given equation. - 3x+2y−25=0;(5,5)3 x+2 y-25=0 ;(5,5)3x+2y−25=0;(5,5)

Solve the problem. -A rectangular enclosure must have an area of at least 500yd2500 \mathrm{yd}^{2}500yd2 . If 120yd120 \mathrm{yd}120yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

Solve the inequality and graph the solution. - ∣8s+3∣<∣s+5∣|8 s+3|<|s+5|∣8s+3∣<∣s+5∣

Solve and graph the inequality and graph the solution. - 4x−3−2<−54\frac{4 x-3}{-2}<-\frac{5}{4}−24x−3​<−45​

Identify whether the slope is positive, negative, zero, or undefined. -

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. - (0,6),m=65(0,6), \mathrm{m}=\frac{6}{5}(0,6),m=56​

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

sketch the graph of the equation. - $y=\frac{1}{3} x^{3}-3$ $sketch the graph of the equation. - y=\frac{1}{3} x^{3}-3$

Solve the inequality. - $\mathrm{p}^{3}-9 \mathrm{p} \leq 0$

Write an equation in slope-intercept form of a line satisfying the given conditions. -Slope - $\frac{4}{9} ; y$ -intercept 3

Solve the problem. -On a summer day, the surface water of a lake is at a temperature of $28^{\circ} \mathrm{Celsius.}$ . What is this temperature in Fahrenheit?

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $\mathrm{h}=-9.8 \mathrm{t}^{2}+117.6 \mathrm{t}$ . During what interval of time will the rocket be higher than $343 \mathrm{~m}$ ?

Find the x-intercepts and y-intercepts of the graph of the equation. - $x+y=5$

Graph the linear equation. - $-3 x-27 y=12$

Solve the problem. -The outdoor temperature rises by $12^{\circ}$ Fahrenheit. What is this temperature in Celsius?

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. - $(0,2), \mathrm{m}=-\frac{5}{6}$

Find the slope of the line, if it is defined. -Through $(1,-9)$ and $(8,8)$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $6 x-18 y=0$

Determine whether the given ordered pair is a solution of the given equation. - $3 x+2 y-25=0 ;(5,5)$

Solve the problem. -A rectangular enclosure must have an area of at least $500 \mathrm{yd}^{2}$ . If $120 \mathrm{yd}$ of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

Solve the inequality and graph the solution. - $|8 s+3|<|s+5|$

Solve and graph the inequality and graph the solution. - $\frac{4 x-3}{-2}<-\frac{5}{4}$ $Solve and graph the inequality and graph the solution. - \frac{4 x-3}{-2}<-\frac{5}{4}$

Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form. - $(0,6), \mathrm{m}=\frac{6}{5}$