Question 1

Write an equation in slope-intercept form of a line satisfying the given conditions.
-$\mathrm{m}=-\frac{3}{4} ; \mathrm{b}=5$

Accepted Answer

A)  $y=\frac{3}{4} x+5$ 
B)  $y=\frac{3}{4} x-5$ 
C)  $y=-\frac{3}{4} x+5$ 
D)  $y=-\frac{3}{4} x-5$ 
A)  $y=\frac{3}{4} x+5$ 
B)  $y=\frac{3}{4} x-5$ 
C)  $y=-\frac{3}{4} x+5$ 
D)  $y=-\frac{3}{4} x-5$

Question 2

Determine whether the given ordered pair is a solution of the given equation.
-$x^{2}+y^{2}-4 x+5 y=6 ;(4,-1)$

Accepted Answer

A) True 
 B)False

Question 3

Solve the problem.
-The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). By using linear regression, the following equation is obtained: $y=55.8+2.79 x$ where $x$ is the cost of advertising (in thousands of dollars) and $y$ is number of products sold (in thousands). Use this equation to predict the number of products sold if the cost of advertising is $\$ 12,000$.

Accepted Answer

A)  89.28 
B)  $33,535.8$ 
C)  95.98 
D)  86.28 
A)  89.28 
B)  $33,535.8$ 
C)  95.98 
D)  86.28

Question 4

Solve the problem.
-The equation $y=0.002 x-0.30$ can be used to determine the approximate profit, $y$ in dollars, of producing $x$ items. How many items must be produced so the profit will be at least $\$ 3635$ ?

Accepted Answer

A)  $x \geq 1,817,350$ 
B)  $x \geq 1,908,532.50$ 
C)  $x \geq 1,817,650$ 
D)    
A)  $x \geq 1,817,350$ 
B)  $x \geq 1,908,532.50$ 
C)  $x \geq 1,817,650$ 
D)

Question 5

Determine whether the given ordered pair is a solution of the given equation.
-$5 \mathrm{x}+\mathrm{y}=12 ;(2,2)$

Accepted Answer

A) True 
 B)False

Question 6

Solve the inequality and graph the solution.
-$\mathrm{p}^{2}-10 \mathrm{p}+24>0$

Accepted Answer

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

Question 7

Solve the inequality and graph the solution.
-$v^{2}+7 v+10 \geq 0$

Accepted Answer

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

Question 8

Convert the temperature.
-$41^{\circ} \mathrm{C}=-{ }^{\circ} \mathrm{F}$

Accepted Answer

A)  $105.8^{\circ} \mathrm{F}$ 
B)  $11.3^{\circ} \mathrm{F}$ 
C)  $54.8^{\circ} \mathrm{F}$ 
D)  $131.4^{\circ} \mathrm{F}$ 
A)  $105.8^{\circ} \mathrm{F}$ 
B)  $11.3^{\circ} \mathrm{F}$ 
C)  $54.8^{\circ} \mathrm{F}$ 
D)  $131.4^{\circ} \mathrm{F}$

Question 9

Solve the problem.
-The profit made when $t$ units are sold, $t>0$, is given by $P=t^{2}-22 t+120$. Determine the number of units to be sold in order for $\mathrm{P}=0$ (the break- even point).

Accepted Answer

A)  $t=-12$ or $t=-10$ 
B)  $t=12$ or $t=10$ 
C)  $t>12$ 
D)  $t=22$ 
A)  $t=-12$ or $t=-10$ 
B)  $t=12$ or $t=10$ 
C)  $t>12$ 
D)  $t=22$

Question 10

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 11

Solve and graph the inequality and graph the solution.
-$-11 a+2 \geq-12 a+1$

Accepted Answer

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

Question 12

sketch the graph of the equation.
-$y=-\sqrt{8-x}$

Accepted Answer

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

Question 13

Find the slope of the line, if it is defined.
-Through the origin and $(2,-6)$

Accepted Answer

A)  -3 
B)  -6 
C)  2 
D)  3 
A)  -3 
B)  -6 
C)  2 
D)  3

Question 14

Solve the problem.
-A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of $192 \mathrm{ft} / \mathrm{sec}$, and the gorge is $560 \mathrm{ft}$ deep, during what interval can the flare be seen? $\left(h=-16 t^{2}+v_{0} t+h_{0}\right.$.

Accepted Answer

A)  $0<$ t $<5$ 
B)  $5<\mathrm{t}<7$ 
C)  $10<\mathrm{t}<12$ 
D)  $15<\mathrm{t}<17$ 
A)  $0<$ t $<5$ 
B)  $5<\mathrm{t}<7$ 
C)  $10<\mathrm{t}<12$ 
D)  $15<\mathrm{t}<17$

Question 15

Graph the linear equation.
-$9 y=x+1$

Accepted Answer

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

Question 16

Solve the inequality and graph the solution.
-$(x-8)(x+5)>0$

Accepted Answer

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

Question 17

Solve the inequality.
-$(a+7)\left(a^{2}+6 a+5\right)>0$

Accepted Answer

A)  $(-7,-5)$ or $(-1, \infty)$ 
B)  $(-\infty,-7)$ or $(-5,-1)$ 
C)  $(-\infty,-5)$ 
D)  $(-1, \infty)$ 
A)  $(-7,-5)$ or $(-1, \infty)$ 
B)  $(-\infty,-7)$ or $(-5,-1)$ 
C)  $(-\infty,-5)$ 
D)  $(-1, \infty)$

Question 18

Convert the temperature.
-$8^{\circ} \mathrm{F}=-{ }^{\circ} \mathrm{C}$

Accepted Answer

A)  $-13.3^{\circ} \mathrm{C}$ 
B)  $27.6^{\circ} \mathrm{C}$ 
C)  $17.6^{\circ} \mathrm{C}$ 
D)  $46.4^{\circ} \mathrm{C}$ 
A)  $-13.3^{\circ} \mathrm{C}$ 
B)  $27.6^{\circ} \mathrm{C}$ 
C)  $17.6^{\circ} \mathrm{C}$ 
D)  $46.4^{\circ} \mathrm{C}$

Question 19

Solve the inequality.
-$\frac{x^{2}+4 x-5}{x^{2}-2 x-48}<0$

Accepted Answer

A)  $(-\infty,-5)$ or $(-6,8)$ 
B)  $(-6,-5)$ or $(1, \infty)$ 
C)  $(-5,1)$ or $(8, \infty)$ 
D)  $(-6,-5)$ or $(1,8)$ 
A)  $(-\infty,-5)$ or $(-6,8)$ 
B)  $(-6,-5)$ or $(1, \infty)$ 
C)  $(-5,1)$ or $(8, \infty)$ 
D)  $(-6,-5)$ or $(1,8)$

Question 20

Find an equation of the the line satisfying the given conditions.
-Through $(4,-2)$; parallel to $4.5 x+7.3 y=32.6$

Accepted Answer

A)  $4.5 x+7.3 y=3.4$ 
B)  $4 x+7.3 y=32.6$ 
C)  $7.3 x+4.5 y=-2$ 
D)  $4.5 x-7.3 y=3.4$ 
A)  $4.5 x+7.3 y=3.4$ 
B)  $4 x+7.3 y=32.6$ 
C)  $7.3 x+4.5 y=-2$ 
D)  $4.5 x-7.3 y=3.4$

Write an equation in slope-intercept form of a line satisfying the given conditions. - $\mathrm{m}=-\frac{3}{4} ; \mathrm{b}=5$

Determine whether the given ordered pair is a solution of the given equation. - $x^{2}+y^{2}-4 x+5 y=6 ;(4,-1)$

Solve the problem. -The equation $y=0.002 x-0.30$ can be used to determine the approximate profit, $y$ in dollars, of producing $x$ items. How many items must be produced so the profit will be at least $\$ 3635$ ?

Determine whether the given ordered pair is a solution of the given equation. - $5 \mathrm{x}+\mathrm{y}=12 ;(2,2)$

Solve the inequality and graph the solution. - $\mathrm{p}^{2}-10 \mathrm{p}+24>0$ $Solve the inequality and graph the solution. - \mathrm{p}^{2}-10 \mathrm{p}+24>0$

Solve the inequality and graph the solution. - $v^{2}+7 v+10 \geq 0$ $Solve the inequality and graph the solution. - v^{2}+7 v+10 \geq 0$

Convert the temperature. - $41^{\circ} \mathrm{C}=-{ }^{\circ} \mathrm{F}$

Solve the problem. -The profit made when $t$ units are sold, $t>0$ , is given by $P=t^{2}-22 t+120$ . Determine the number of units to be sold in order for $\mathrm{P}=0$ (the break- even point).

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

Solve and graph the inequality and graph the solution. - $-11 a+2 \geq-12 a+1$ $Solve and graph the inequality and graph the solution. - -11 a+2 \geq-12 a+1$

sketch the graph of the equation. - $y=-\sqrt{8-x}$ $sketch the graph of the equation. - y=-\sqrt{8-x}$

Find the slope of the line, if it is defined. -Through the origin and $(2,-6)$

Graph the linear equation. - $9 y=x+1$

Solve the inequality and graph the solution. - $(x-8)(x+5)>0$

Solve the inequality. - $(a+7)\left(a^{2}+6 a+5\right)>0$

Convert the temperature. - $8^{\circ} \mathrm{F}=-{ }^{\circ} \mathrm{C}$

Solve the inequality. - $\frac{x^{2}+4 x-5}{x^{2}-2 x-48}<0$

Find an equation of the the line satisfying the given conditions. -Through $(4,-2)$ ; parallel to $4.5 x+7.3 y=32.6$

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

Write an equation in slope-intercept form of a line satisfying the given conditions. - m=−34;b=5\mathrm{m}=-\frac{3}{4} ; \mathrm{b}=5m=−43​;b=5

Determine whether the given ordered pair is a solution of the given equation. - x2+y2−4x+5y=6;(4,−1)x^{2}+y^{2}-4 x+5 y=6 ;(4,-1)x2+y2−4x+5y=6;(4,−1)

Solve the problem. -The equation y=0.002x−0.30y=0.002 x-0.30y=0.002x−0.30 can be used to determine the approximate profit, yyy in dollars, of producing xxx items. How many items must be produced so the profit will be at least $3635\$ 3635$3635 ?

Determine whether the given ordered pair is a solution of the given equation. - 5x+y=12;(2,2)5 \mathrm{x}+\mathrm{y}=12 ;(2,2)5x+y=12;(2,2)

Solve the inequality and graph the solution. - p2−10p+24>0\mathrm{p}^{2}-10 \mathrm{p}+24>0p2−10p+24>0

Solve the inequality and graph the solution. - v2+7v+10≥0v^{2}+7 v+10 \geq 0v2+7v+10≥0

Convert the temperature. - 41∘C=−∘F41^{\circ} \mathrm{C}=-{ }^{\circ} \mathrm{F}41∘C=−∘F

Solve the problem. -The profit made when ttt units are sold, t>0t>0t>0 , is given by P=t2−22t+120P=t^{2}-22 t+120P=t2−22t+120 . Determine the number of units to be sold in order for P=0\mathrm{P}=0P=0 (the break- even point).

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

Solve and graph the inequality and graph the solution. - −11a+2≥−12a+1-11 a+2 \geq-12 a+1−11a+2≥−12a+1

sketch the graph of the equation. - y=−8−xy=-\sqrt{8-x}y=−8−x​

Find the slope of the line, if it is defined. -Through the origin and (2,−6)(2,-6)(2,−6)

Graph the linear equation. - 9y=x+19 y=x+19y=x+1

Solve the inequality and graph the solution. - (x−8)(x+5)>0(x-8)(x+5)>0(x−8)(x+5)>0

Solve the inequality. - (a+7)(a2+6a+5)>0(a+7)\left(a^{2}+6 a+5\right)>0(a+7)(a2+6a+5)>0

Convert the temperature. - 8∘F=−∘C8^{\circ} \mathrm{F}=-{ }^{\circ} \mathrm{C}8∘F=−∘C

Solve the inequality. - x2+4x−5x2−2x−48<0\frac{x^{2}+4 x-5}{x^{2}-2 x-48}<0x2−2x−48x2+4x−5​<0

Find an equation of the the line satisfying the given conditions. -Through (4,−2)(4,-2)(4,−2) ; parallel to 4.5x+7.3y=32.64.5 x+7.3 y=32.64.5x+7.3y=32.6

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 slope-intercept form of a line satisfying the given conditions. - $\mathrm{m}=-\frac{3}{4} ; \mathrm{b}=5$

Determine whether the given ordered pair is a solution of the given equation. - $x^{2}+y^{2}-4 x+5 y=6 ;(4,-1)$

Solve the problem. -The equation $y=0.002 x-0.30$ can be used to determine the approximate profit, $y$ in dollars, of producing $x$ items. How many items must be produced so the profit will be at least $\$ 3635$ ?

Determine whether the given ordered pair is a solution of the given equation. - $5 \mathrm{x}+\mathrm{y}=12 ;(2,2)$

Solve the inequality and graph the solution. - $\mathrm{p}^{2}-10 \mathrm{p}+24>0$ $Solve the inequality and graph the solution. - \mathrm{p}^{2}-10 \mathrm{p}+24>0$

Solve the inequality and graph the solution. - $v^{2}+7 v+10 \geq 0$ $Solve the inequality and graph the solution. - v^{2}+7 v+10 \geq 0$

Convert the temperature. - $41^{\circ} \mathrm{C}=-{ }^{\circ} \mathrm{F}$

Solve the problem. -The profit made when $t$ units are sold, $t>0$ , is given by $P=t^{2}-22 t+120$ . Determine the number of units to be sold in order for $\mathrm{P}=0$ (the break- even point).

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

Solve and graph the inequality and graph the solution. - $-11 a+2 \geq-12 a+1$ $Solve and graph the inequality and graph the solution. - -11 a+2 \geq-12 a+1$

sketch the graph of the equation. - $y=-\sqrt{8-x}$ $sketch the graph of the equation. - y=-\sqrt{8-x}$

Find the slope of the line, if it is defined. -Through the origin and $(2,-6)$

Graph the linear equation. - $9 y=x+1$

Solve the inequality and graph the solution. - $(x-8)(x+5)>0$

Solve the inequality. - $(a+7)\left(a^{2}+6 a+5\right)>0$

Convert the temperature. - $8^{\circ} \mathrm{F}=-{ }^{\circ} \mathrm{C}$

Solve the inequality. - $\frac{x^{2}+4 x-5}{x^{2}-2 x-48}<0$

Find an equation of the the line satisfying the given conditions. -Through $(4,-2)$ ; parallel to $4.5 x+7.3 y=32.6$