Question 1

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

Accepted Answer

A)  $x$-intercept: $-3 ; y$-intercept: 7 
B)  $x$-intercept: $-7 ; y$-intercept: 3 
C)  $x$-intercept: $7 ; y$-intercept: -3 
D)  $x$-intercept: $3 ; y$-intercept: -7 
A)  $x$-intercept: $-3 ; y$-intercept: 7 
B)  $x$-intercept: $-7 ; y$-intercept: 3 
C)  $x$-intercept: $7 ; y$-intercept: -3 
D)  $x$-intercept: $3 ; y$-intercept: -7 A

Question 2

Solve the problem.
-  What were the total sales for the first 6 months of 1990 ?

Accepted Answer

A)  $\$ 302,000$ 
B)  $\$ 366,000$ 
C)  $\$ 286,000$ 
D)  $\$ 64,000$ 
A)  $\$ 302,000$ 
B)  $\$ 366,000$ 
C)  $\$ 286,000$ 
D)  $\$ 64,000$ B

Question 3

Solve the problem.
-The value, $v$, in hundreds of dollars, of Juan's computer is approximated by $v=-\frac{1}{2} t+8$, where $t$ is the number of years since he first bought the computer. Graph the equation and use the graph to estimate the value of the computer 4 years after it was purchased.

Accepted Answer

A)  $\$ 600$ 
B)  $\$ 720$ 
C)  $\$ 1000$ 
D)  $\$ 400$ 
A)  $\$ 600$ 
B)  $\$ 720$ 
C)  $\$ 1000$ 
D)  $\$ 400$ A

Question 4

Find an equation of the the line satisfying the given conditions.
-Through (4,3); perpendicular to $9 x+5 y=51$

Accepted Answer

A)  $9 x-5 y=-7$ 
B)  $5 x+9 y=-7$ 
C)  $5 x-9 y=1$ 
D)  $5 x-9 y=-7$ 
A)  $9 x-5 y=-7$ 
B)  $5 x+9 y=-7$ 
C)  $5 x-9 y=1$ 
D)  $5 x-9 y=-7$

Question 5

Solve and graph the inequality and graph the solution.
-$\frac{8 x+4}{3}<\frac{5}{2}$

Accepted Answer

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

Question 6

Find the $x$ - and $y$-intercepts for the equation. Then graph the equation.
-$16 y-4 x=-8$

Accepted Answer

A)    
B)    
A)    
B)

Question 7

Write an equation in standard form for a line passing through the pair of points.
-$(-3,0)$ and $(-7,7)$

Accepted Answer

A)  $-7 x+4 y=-21$ 
B)  $-3 x-14 y=-119$ 
C)  $3 x+14 y=-119$ 
D)  $7 x+4 y=-21$ 
A)  $-7 x+4 y=-21$ 
B)  $-3 x-14 y=-119$ 
C)  $3 x+14 y=-119$ 
D)  $7 x+4 y=-21$

Question 8

Solve the inequality.
-Behemoth Back Packs, Inc., finds that the cost to make $x$ back packs is $C=75 x+7059$, while the revenue produced from them is $\mathrm{R}=108 \mathrm{x}$ ( $\mathrm{C}$ and $\mathrm{R}$ are in dollars). What is the smallest whole number of back packs, $x$, that must be sold for the company to show a profit?

Accepted Answer

A)  232,947 
B)  $1,291,797$ 
C)  214 
D)  39 
A)  232,947 
B)  $1,291,797$ 
C)  214 
D)  39

Question 9

Choose one of the four lines graphed which most closely resembles the graph of the given equation.
-$y=-4 x-5$

Accepted Answer

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

Question 10

Find the x-intercepts and y-intercepts of the graph of the equation.
-$2 x+y=6$

Accepted Answer

A)  $x$-intercept: $3 ; y$-intercept: 6 
B)  $x$-intercept: $6 ; y$-intercept: -6 
C)  $x$-intercept: $6 ; y$-intercept: 3 
D)  $x$-intercept: $-6 ; y$-intercept: 6 
A)  $x$-intercept: $3 ; y$-intercept: 6 
B)  $x$-intercept: $6 ; y$-intercept: -6 
C)  $x$-intercept: $6 ; y$-intercept: 3 
D)  $x$-intercept: $-6 ; y$-intercept: 6

Question 11

Determine whether the given ordered pair is a solution of the given equation.
-$x^{2}+y^{2}-4 x+8 y=-12 ;(4,-2)$

Accepted Answer

A) True 
 B)False

Question 12

Graph the linear equation.
-$-\mathrm{x}=8 \mathrm{y}-8$

Accepted Answer

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

Question 13

Decide whether the pair of lines is parallel, perpendicular, or neither.
-The line through $(-20,5)$ and $(-4,7)$ and the line through $(-5,5)$ and $(7,4)$

Accepted Answer

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

Question 14

Solve the problem.
-In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least $131.16^{\circ} \mathrm{F}$. Find the Celsius temperatures at which the reaction may occur. $\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right)$

Accepted Answer

A)  $\mathrm{C} \leq 55.09^{\circ}$ 
B)  $\mathrm{C} \geq 55.09^{\circ}$ 
C)  $\mathrm{C} \geq 268.09^{\circ}$ 
D)  $\mathrm{C}<268.09^{\circ}$ 
A)  $\mathrm{C} \leq 55.09^{\circ}$ 
B)  $\mathrm{C} \geq 55.09^{\circ}$ 
C)  $\mathrm{C} \geq 268.09^{\circ}$ 
D)  $\mathrm{C}<268.09^{\circ}$

Question 15

Choose one of the four lines graphed which most closely resembles the graph of the given equation.
-$y=3 x-6$

Accepted Answer

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

Question 16

Choose one of the four lines graphed which most closely resembles the graph of the given equation.
-$y=-2 x+5$

Accepted Answer

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

Question 17

sketch the graph of the equation.
-$y=\frac{1}{2} x^{2}$

Accepted Answer

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

Question 18

Find the $x$ - and $y$-intercepts for the equation. Then graph the equation.
-$-5 x-10 y=10$

Accepted Answer

A)    
B)    
A)    
B)

Question 19

Solve the problem.
-A biologist recorded 17 snakes on 17 acres in one area and 20 snakes on 43 acres in another area. Let $y$ be the number of snakes in $x$ acres. Write an equation for the number of snakes.

Accepted Answer

A)  $26 y=3 x-391$ 
B)  $26 y=3 x+391$ 
C)  $26 y=3 x+0$ 
D)  $y=x+0$ 
A)  $26 y=3 x-391$ 
B)  $26 y=3 x+391$ 
C)  $26 y=3 x+0$ 
D)  $y=x+0$

Question 20

Solve the problem.
-Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. By using linear regression, the following equation is obtained: $y=3.67+0.0313 x$ where $x$ is entering GPA and $y$ is current GPA. Use this equation to predict current GPA of a student whose entering GPA is 3.6.

Accepted Answer

A)  3.40 
B)  3.78 
C)  3.58 
D)  3.29 
A)  3.40 
B)  3.78 
C)  3.58 
D)  3.29

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

Solve the problem. - What were the total sales for the first 6 months of 1990 ?

Find an equation of the the line satisfying the given conditions. -Through (4,3); perpendicular to $9 x+5 y=51$

Solve and graph the inequality and graph the solution. - $\frac{8 x+4}{3}<\frac{5}{2}$ $Solve and graph the inequality and graph the solution. - \frac{8 x+4}{3}<\frac{5}{2}$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $16 y-4 x=-8$

Write an equation in standard form for a line passing through the pair of points. - $(-3,0)$ and $(-7,7)$

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $y=-4 x-5$

Find the x-intercepts and y-intercepts of the graph of the equation. - $2 x+y=6$

Determine whether the given ordered pair is a solution of the given equation. - $x^{2}+y^{2}-4 x+8 y=-12 ;(4,-2)$

Graph the linear equation. - $-\mathrm{x}=8 \mathrm{y}-8$ $Graph the linear equation. - -\mathrm{x}=8 \mathrm{y}-8$

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through $(-20,5)$ and $(-4,7)$ and the line through $(-5,5)$ and $(7,4)$

Solve the problem. -In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least $131.16^{\circ} \mathrm{F}$ . Find the Celsius temperatures at which the reaction may occur. $\left(\mathrm{F}=\frac{9}{5} \mathrm{C}+32\right)$

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $y=3 x-6$

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $y=-2 x+5$

sketch the graph of the equation. - $y=\frac{1}{2} x^{2}$ $sketch the graph of the equation. - y=\frac{1}{2} x^{2}$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $-5 x-10 y=10$

Solve the problem. -A biologist recorded 17 snakes on 17 acres in one area and 20 snakes on 43 acres in another area. Let $y$ be the number of snakes in $x$ acres. Write an equation for the number of snakes.

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

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

Solve the problem. - What were the total sales for the first 6 months of 1990 ?

Find an equation of the the line satisfying the given conditions. -Through (4,3); perpendicular to 9x+5y=519 x+5 y=519x+5y=51

Solve and graph the inequality and graph the solution. - 8x+43<52\frac{8 x+4}{3}<\frac{5}{2}38x+4​<25​

Find the xxx - and yyy -intercepts for the equation. Then graph the equation. - 16y−4x=−816 y-4 x=-816y−4x=−8

Write an equation in standard form for a line passing through the pair of points. - (−3,0)(-3,0)(−3,0) and (−7,7)(-7,7)(−7,7)

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - y=−4x−5y=-4 x-5y=−4x−5

Find the x-intercepts and y-intercepts of the graph of the equation. - 2x+y=62 x+y=62x+y=6

Determine whether the given ordered pair is a solution of the given equation. - x2+y2−4x+8y=−12;(4,−2)x^{2}+y^{2}-4 x+8 y=-12 ;(4,-2)x2+y2−4x+8y=−12;(4,−2)

Graph the linear equation. - −x=8y−8-\mathrm{x}=8 \mathrm{y}-8−x=8y−8

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through (−20,5)(-20,5)(−20,5) and (−4,7)(-4,7)(−4,7) and the line through (−5,5)(-5,5)(−5,5) and (7,4)(7,4)(7,4)

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - y=3x−6y=3 x-6y=3x−6

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - y=−2x+5y=-2 x+5y=−2x+5

sketch the graph of the equation. - y=12x2y=\frac{1}{2} x^{2}y=21​x2

Find the xxx - and yyy -intercepts for the equation. Then graph the equation. - −5x−10y=10-5 x-10 y=10−5x−10y=10

Solve the problem. -A biologist recorded 17 snakes on 17 acres in one area and 20 snakes on 43 acres in another area. Let yyy be the number of snakes in xxx acres. Write an equation for the number of snakes.

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

Find an equation of the the line satisfying the given conditions. -Through (4,3); perpendicular to $9 x+5 y=51$

Solve and graph the inequality and graph the solution. - $\frac{8 x+4}{3}<\frac{5}{2}$ $Solve and graph the inequality and graph the solution. - \frac{8 x+4}{3}<\frac{5}{2}$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $16 y-4 x=-8$

Write an equation in standard form for a line passing through the pair of points. - $(-3,0)$ and $(-7,7)$

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $y=-4 x-5$

Find the x-intercepts and y-intercepts of the graph of the equation. - $2 x+y=6$

Determine whether the given ordered pair is a solution of the given equation. - $x^{2}+y^{2}-4 x+8 y=-12 ;(4,-2)$

Graph the linear equation. - $-\mathrm{x}=8 \mathrm{y}-8$ $Graph the linear equation. - -\mathrm{x}=8 \mathrm{y}-8$

Decide whether the pair of lines is parallel, perpendicular, or neither. -The line through $(-20,5)$ and $(-4,7)$ and the line through $(-5,5)$ and $(7,4)$

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $y=3 x-6$

Choose one of the four lines graphed which most closely resembles the graph of the given equation. - $y=-2 x+5$

sketch the graph of the equation. - $y=\frac{1}{2} x^{2}$ $sketch the graph of the equation. - y=\frac{1}{2} x^{2}$

Find the $x$ - and $y$ -intercepts for the equation. Then graph the equation. - $-5 x-10 y=10$

Solve the problem. -A biologist recorded 17 snakes on 17 acres in one area and 20 snakes on 43 acres in another area. Let $y$ be the number of snakes in $x$ acres. Write an equation for the number of snakes.