Question 1

Solve and graph the solution set.
-y - 11 < -16

A) $\{ y \mid y > - 5 \} \text { or } ( - 5 , \infty )$

B) $\left\{ y ^ { \mid } y \leq - 5 \right\} \text { or } ( - \infty , - 5 ]$

C) $\{ y \mid y \geq - 5 \} \text { or } [ - 5 , \infty )$

D) $\{ y \mid y < - 5 \} \text { or } ( - \infty , - 5 )$

Accepted Answer

The answer of Solve and graph the solution set.
-y -...

Question 2

Solve the problem.
-If an object is dropped from a tower of unknown height, the velocity of the object after t seconds can be obtained by multiplying t by 32 and adding 10 to the result. Therefore, you can express V as A linear function of t. Find the domain of this function. 
A) $( - \infty , \infty )$
B) [1,4] 
C) $( - 1 , \infty )$
D) $[ 0 , \infty )$

Accepted Answer

The answer of Solve the problem.
-If an object is dropped...

Question 3

Find the domain of the function.
-$f ( x ) = \frac { 8 } { \sqrt { 5 - x } }$
A) $\{ x \mid x \geq - 5 \} , \text { or } [ - 5 , \infty )$
B) $\{ x \mid x \geq 5 \} , \text { or } [ 5 , \infty )$
C) $\{ x \mid x < 5 \} , \text { or } ( - \infty , 5 )$
D) $\{ x \mid x < - 5 \} , \text { or } ( - \infty , - 5 )$

Accepted Answer

The answer of Find the domain of the function.
-\(f (...

Question 4

Solve and write interval notation for the solution set. Then graph the solution set.
-$- 1 < - 5 x + 4 \leq 19$

A) $[ - 1,3 )$

B) $[ - 3,1 )$

C) $( - 3,1 ]$

D) $( - 1,3 ]$

Accepted Answer

The answer of Solve and write interval notation for the...

Question 5

Graph the function.
-$f ( x ) = x ^ { 2 } - 3$

A)  
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-\(f ( x ) =...

Question 6

Find the center and radius of the circle.
-$( x + 6 ) ^ { 2 } + ( y + 9 ) ^ { 2 } = 1$
A)  (-9,-6) ; 1 
B)  (9,6) ; 1 
C)  (-6,-9) ; 1 
D)  (6,9) ; 1

Accepted Answer

The answer of Find the center and radius of the...

Question 7

Graph the equation using the slope and the y-intercept.
--5x+ 15y = -45

A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation using the slope and...

Question 8

Graph the equation.
-$$y = x ^ { 2 } + 6 x + 5$$
A)  
B) 
C) 
D)

Accepted Answer

The answer of Graph the equation.
-\[y = x ^ {...

Question 9

Solve the problem.
-A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. By using linear regression, the following function is obtained: y = 88.6 - 1.86x where x is the number of hours spent in the lab and y is grade on the test. Use this function to predict the grade of a student who spends 19 hours in the lab. $\begin{array} { c c } 
\text { Number of hours spent in lab } & \text { Grade (percent) } \
\hline 10 & 96 \
11 & 51 \
16 & 62 \
9 & 58 \
7 & 89 \
15 & 81 \
16 & 46 \
10 & 51
\end{array}$
A)  69.6 
B)  57.1 
C)  49.3 
D)  53.3

Accepted Answer

The answer of Solve the problem.
-A study was conducted to...

Question 10

Find the equation of the circle. Express the equation in standard form
-
A) $( x - 30 ) ^ { 2 } + ( y - 25 ) ^ { 2 } = 10 ^ { 2 }$
B) $( x - 30 ) ^ { 2 } + ( y + 25 ) ^ { 2 } = 10 ^ { 2 }$
C) $( x + 25 ) ^ { 2 } + ( y + 30 ) ^ { 2 } = 10 ^ { 2 }$
D) $( x - 25 ) ^ { 2 } + ( y - 30 ) ^ { 2 } = 5 ^ { 2 }$

Accepted Answer

The answer of Find the equation of the circle. Express...

Question 11

Find the slope of the line.
-
A) -8 
B) $- \frac { 1 } { 8 }$ 
C) $\frac { 1 } { 8 }$
D) 8

Accepted Answer

The answer of Find the slope of the line.
-
A) -8...

Question 12

Find the slope and the y-intercept of the line with the given equation.
-7x +9 y=80 
A) $- 1 \frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 80 } \right)$
B) $- \frac { 7 } { 9 } ; \left( 0 , \frac { 80 } { 9 } \right)$
C) $\frac { 7 } { 9 } ; \left( 0 , \frac { 80 } { 9 } \right)$
D) $1 \frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 80 } \right)$

Accepted Answer

The answer of Find the slope and the y-intercept of...

Question 13

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 function is obtained: Y = 55.8 + 2.79x where x is the cost of advertising (in thousands of dollars)and y is number of products sold (in thousands). Use this function to predict the number of products sold if the cost of Advertising is $9000. $\begin{array} { c | r r r r r r r r } 
\text { Cost } & 9 & 2 & 3 & 4 & 2 & 5 & 9 & 10 \
\hline \text { Number } & 85 & 52 & 55 & 68 & 67 & 86 & 83 & 73
\end{array}$
A)  25,165.8 
B)  77.91 
C)  80.91 
D)  87.61

Accepted Answer

The answer of Solve the problem.
-The paired data below consist...

Question 14

Is the following correspondence a function?
-$\begin{array} { r | r } 
\text { Name } & \text { Test Score } \
\hline \text { Bob L. } & 90 \
\hline \text { Susan H. } & 83 \
\hline \text { Jim H. } & 76 \
\hline \text { Bruce B. } & 96
\end{array}$
A) Yes
B) No

Accepted Answer

The answer of Is the following correspondence a function?
-\(\begin{array} {...

Question 15

Solve the problem using your calculator.
-The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Use a graphing calculator to model the data with a linear function that predicts a student's score as a function of the number of hours he or she studied. 
$\begin{array} { l | r r r r r r } 
\text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \
\hline \text { Score } & 64 & 86 & 69 & 86 & 59 & 87
\end{array}$
A)  y=33.7+2.14x  
B)  y=33.7-2.14x  
C)  y=67.3+1.07x 
D)  y=-67.3+1.07x

Accepted Answer

The answer of Solve the problem using your calculator.
-The paired...

Question 16

Solve the equation.
-$\frac { 1 } { 6 } x - 2 = \frac { 1 } { 4 } x - 3$
A) - 12
B) 3
C) 15
D) 12

Accepted Answer

The answer of Solve the equation.
-\(\frac { 1 } {...

Question 17

Write an equation in slope-intercept form for the line shown.
-
A) $y = \frac { 1 } { 2 } x$
B) y= -2x
C) y= 2x
D) $y = - \frac { 1 } { 2 } x$

Accepted Answer

The answer of Write an equation in slope-intercept form for...

Question 18

Solve the problem.
-A survey of 7136 first-time vacationers showed that 80% more vacationers took their vacation in their own country rather than travel abroad. How many vacationers in the sample took their Vacation abroad?
A)7136 people
B)40 people
C)2549 people
D)1427 people

Accepted Answer

Let x be the number of vacationers who traveled abroad. Then, 1.8x is the number of vacationers who stayed in their own country. The total is x + 1.8x = 7136. Solving for x gives x = 1427.

Question 19

Find the midpoint of the segment having the given endpoints.
-$\left( \frac { 9 } { 2 } , - \frac { 11 } { 2 } \right) \text { and } \left( \frac { 7 } { 2 } , \frac { 3 } { 2 } \right)$
A)  (256,64) 
B)  (4,-2) 
c) $\left( \frac { 1 } { 2 } , - \frac { 7 } { 2 } \right)$
D)  (4,196)

Accepted Answer

The answer of Find the midpoint of the segment having...

Question 20

Solve the problem.
-A salesperson has two job offers. Company A offers a weekly salary of $280 plus commission of 14% of sales. Company B offers a weekly salary of $560 plus commission of 7% of sales. What is the amount of sales above which Company A's offer is the better of the two?
A)$4100
B)$8000
C)$2000
D)$4000

Accepted Answer

To find the sales amount where Company A's offer becomes better, set the total earnings from both companies equal: $280 + 0.14x = $560 + 0.07x. Solving for x gives x = $4000. Thus, for sales above $4000, Company A's offer is better.

Quiz 1: Graphs, Functions, and Models

Find the center and radius of the circle. - $( x + 6 ) ^ { 2 } + ( y + 9 ) ^ { 2 } = 1$ A) (-9,-6) ; 1 B) (9,6) ; 1 C) (-6,-9) ; 1 D) (6,9) ; 1

Graph the equation using the slope and the y-intercept. --5x+ 15y = -45 A) B) C) D)

Graph the equation. - $y = x ^ { 2 } + 6 x + 5$ A) $Graph the equation. - y = x ^ { 2 } + 6 x + 5 A) B) C) D)$ B) $Graph the equation. - y = x ^ { 2 } + 6 x + 5 A) B) C) D)$ C) $Graph the equation. - y = x ^ { 2 } + 6 x + 5 A) B) C) D)$ D) $Graph the equation. - y = x ^ { 2 } + 6 x + 5 A) B) C) D)$

Find the slope of the line. - $Find the slope of the line. - A) -8 B) - \frac { 1 } { 8 } C) \frac { 1 } { 8 } D) 8$ A) -8 B) $- \frac { 1 } { 8 }$ C) $\frac { 1 } { 8 }$ D) 8

Is the following correspondence a function? - $\begin{array} { r | r } \text { Name } & \text { Test Score } \\\hline \text { Bob L. } & 90 \\\hline \text { Susan H. } & 83 \\\hline \text { Jim H. } & 76 \\\hline \text { Bruce B. } & 96\end{array}$ A) Yes B) No

Solve the equation. - $\frac { 1 } { 6 } x - 2 = \frac { 1 } { 4 } x - 3$ A) - 12 B) 3 C) 15 D) 12

Write an equation in slope-intercept form for the line shown. - $Write an equation in slope-intercept form for the line shown. - A) y = \frac { 1 } { 2 } x B) y= -2x C) y= 2x D) y = - \frac { 1 } { 2 } x$ A) $y = \frac { 1 } { 2 } x$ B) y= -2x C) y= 2x D) $y = - \frac { 1 } { 2 } x$

Solve the problem. -A survey of 7136 first-time vacationers showed that 80% more vacationers took their vacation in their own country rather than travel abroad. How many vacationers in the sample took their Vacation abroad?

Find the midpoint of the segment having the given endpoints. - $\left( \frac { 9 } { 2 } , - \frac { 11 } { 2 } \right) \text { and } \left( \frac { 7 } { 2 } , \frac { 3 } { 2 } \right)$ A) (256,64) B) (4,-2) c) $\left( \frac { 1 } { 2 } , - \frac { 7 } { 2 } \right)$ D) (4,196)

Solve the problem. -A salesperson has two job offers. Company A offers a weekly salary of $280 plus commission of 14% of sales. Company B offers a weekly salary of $560 plus commission of 7% of sales. What is the amount of sales above which Company A's offer is the better of the two?

Quiz 1: Graphs, Functions, and Models

Solve and write interval notation for the solution set. Then graph the solution set. - −1<−5x+4≤19- 1 < - 5 x + 4 \leq 19−1<−5x+4≤19 A) [−1,3)[ - 1,3 )[−1,3) B) [−3,1)[ - 3,1 )[−3,1) C) (−3,1]( - 3,1 ](−3,1] D) (−1,3]( - 1,3 ](−1,3]

Graph the function. - f(x)=x2−3f ( x ) = x ^ { 2 } - 3f(x)=x2−3 A) B) C) D)

Find the center and radius of the circle. - (x+6)2+(y+9)2=1( x + 6 ) ^ { 2 } + ( y + 9 ) ^ { 2 } = 1(x+6)2+(y+9)2=1 A) (-9,-6) ; 1 B) (9,6) ; 1 C) (-6,-9) ; 1 D) (6,9) ; 1

Graph the equation using the slope and the y-intercept. --5x+ 15y = -45 A) B) C) D)

Graph the equation. - y=x2+6x+5y = x ^ { 2 } + 6 x + 5y=x2+6x+5 A) B) C) D)

Find the slope of the line. - A) -8 B) −18- \frac { 1 } { 8 }−81​ C) 18\frac { 1 } { 8 }81​ D) 8

Solve the equation. - 16x−2=14x−3\frac { 1 } { 6 } x - 2 = \frac { 1 } { 4 } x - 361​x−2=41​x−3 A) - 12 B) 3 C) 15 D) 12

Write an equation in slope-intercept form for the line shown. - A) y=12xy = \frac { 1 } { 2 } xy=21​x B) y= -2x C) y= 2x D) y=−12xy = - \frac { 1 } { 2 } xy=−21​x