Question 1

Solve the equation.
-$$| 3 x | = 0$$

Accepted Answer

A)  $\{ - 3,3 \}$ 
B)  $\{ 0,3 \}$ 
C)  $\{ - 3,0 \}$ 
D)  $\{ 0 \}$ 
A)  $\{ - 3,3 \}$ 
B)  $\{ 0,3 \}$ 
C)  $\{ - 3,0 \}$ 
D)  $\{ 0 \}$

Question 2

Solve the problem.
-A survey of the interest rates earned by Certificates of Deposit (CDs) showed the following percents for the length of time (in years) for holding the CD. Let length of time represent the independent variable and interest
Rate represent the dependent variable. Use a graphing utility to draw a scatter diagram and to find the line of
Best fit. What is the estimate of the interest rate for a CD held for 30 years (to the nearest thousandth)? $\begin{array}{l|l}
\text { CD Maturity }(\mathrm{yrs}) & \text { Interest rate }(\%) \
\hline 5 & 8.458 \
10 & 8.470 \
15 & 8.496 \
20 & 8.580 \
25 & 8.625
\end{array}$

Accepted Answer

A)  $8.675$ 
B)  $9.064$ 
C)  $8.874$ 
D)  $8.669$ 
A)  $8.675$ 
B)  $9.064$ 
C)  $8.874$ 
D)  $8.669$

Question 3

Solve the problem.
-A marina owner wishes to estimate a linear function that relates boat length in feet and its draft (depth of boat below water line) in feet. He collects the following data. Let boat length represent the independent variable and
Draft represent the dependent variable. Use a graphing utility to draw a scatter diagram and to find the line of
Best fit. What is the draft for a boat 60 ft in length (to the nearest tenth)? $\begin{array}{l|l}
\text { Boat Length }(\mathrm{ft}) & \text { Draft }(\mathrm{ft}) \
\hline 25 & 2.5 \
25 & 2 \
30 & 3 \
30 & 3.5 \
45 & 6 \
45 & 7 \
50 & 7 \
50 & 8
\end{array}$

Accepted Answer

A)  $10.3$ 
B)  $9.7$ 
C)  $15.7$ 
D)  $10.5$ 
A)  $10.3$ 
B)  $9.7$ 
C)  $15.7$ 
D)  $10.5$

Question 4

Graph the function f by starting with the graph of y $y = x ^ { 2 }$ and using transformations (shifting, compressing, stretching,
and/or reflection).
-$f(x)=-3 x^{2}-5$
 
 A)

Accepted Answer

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

Question 5

Plot and interpret the appropriate scatter diagram.
-The table gives the times spent watching TV and the grades of several students. $\begin{array}{l|cccccc}
\text { Weekly TV (h) } & 6 & 12 & 18 & 24 & 30 & 36 \
\hline \text { Grade (\%) } & 92.5 & 87.5 & 72.5 & 77.5 & 62.5 & 57.5
\end{array}$

Which scatter diagram describes the data and the relationship, if any?

Accepted Answer

A)

More hours spent watching TV may reduce grades. 
B) 
 
More hours spent watching TV may increase grades. 
C) 
 
More hours spent watching TV may reduce grades. 
D)  none of these 
A)

More hours spent watching TV may reduce grades. 
B) 
 
More hours spent watching TV may increase grades. 
C) 
 
More hours spent watching TV may reduce grades. 
D)  none of these

Question 6

Solve the inequality.
-$$x ^ { 2 } - 36 \leq 0$$

Accepted Answer

A)  $[ - 36,36 ]$
В) $( - \infty , - 36 ]$ or $[ 36 , \infty )$ 
C)  $[ - 6,6 ]$ 
D)  $( - \infty , - 6 ]$ or $[ 6 , \infty )$ 
A)  $[ - 36,36 ]$
В) $( - \infty , - 36 ]$ or $[ 36 , \infty )$ 
C)  $[ - 6,6 ]$ 
D)  $( - \infty , - 6 ]$ or $[ 6 , \infty )$

Question 7

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$\begin{array}{l|lllll}
\mathrm{x} & 10 & 20 & 30 & 40 & 50 \
\hline \mathrm{y} & 3.9 & 4.6 & 5.4 & 6.9 & 8.3
\end{array}$

Accepted Answer

A)  $y = x - 8$ 
B)  $y = 0.11 x + 2.49$ 
C)  $y = 0.5 x - 2$ 
D)  $y = 0.17 x + 2.11$ 
A)  $y = x - 8$ 
B)  $y = 0.11 x + 2.49$ 
C)  $y = 0.5 x - 2$ 
D)  $y = 0.17 x + 2.11$

Question 8

Solve the problem.
-The price p (in dollars) and the quantity x sold of a certain product obey the demand equation $$p = - 10 x + 240 , \quad 0 \leq x \leq 24$$ What price should the company charge to maximize revenue?

Accepted Answer

A)  $6 
B)  $18 
C)  $14.4 
D)  $12 
A)  $6 
B)  $18 
C)  $14.4 
D)  $12

Question 9

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below. $\begin{array}{l|l|l|l|l|l|l|l|l|l}
Performance&59 & 63 & 65 & 69 & 58 & 77 & 76 & 69 & 70 & 64 \
Attitude& 72 & 67 & 78 & 82 & 75 & 87 & 92 & 83 & 87 & 78
\end{array}$

Accepted Answer

A)  $y = - 47.3 + 2.02 x$ 
B)  $y = 92.3 - 0.669 x$ 
C)  $y = 11.7 + 1.02 x$ 
D)  $y = 2.81 + 1.35 x$ 
A)  $y = - 47.3 + 2.02 x$ 
B)  $y = 92.3 - 0.669 x$ 
C)  $y = 11.7 + 1.02 x$ 
D)  $y = 2.81 + 1.35 x$

Question 10

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
-$$f ( x ) = x ^ { 2 } + 2$$

Accepted Answer

A)  minimum; 0 
B)  minimum; 2 
C)  maximum; 2 
D)  maximum; 0 
A)  minimum; 0 
B)  minimum; 2 
C)  maximum; 2 
D)  maximum; 0

Question 11

Solve the problem.
-The number of mosquitoes $\mathrm { M } ( \mathrm { x } )$, in millions, in a certain area depends on the June rainfall $x$, in inches: $M ( x ) = 11 x - x ^ { 2 }$. What rainfall produces the maximum number of mosquitoes?

Accepted Answer

A)  $5.5 \mathrm { in }$. 
B)  $121 \mathrm { in }$. 
C)  $11 \mathrm { in } .$ 
D)  $0 \mathrm { in }$. 
A)  $5.5 \mathrm { in }$. 
B)  $121 \mathrm { in }$. 
C)  $11 \mathrm { in } .$ 
D)  $0 \mathrm { in }$.

Question 12

Solve the problem.
-Identify the scatter diagram of the relation that appears linear. A)

Accepted Answer

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

Question 13

Solve the equation.
-$$| x + 7 | - 3 = 11$$

Accepted Answer

A)  $\{ - 1,7 \}$ 
B)  $\{ - 21,7 \}$ 
C)  $\{ 15,7 \}$ 
D)  $\{ - 7,7 \}$ 
A)  $\{ - 1,7 \}$ 
B)  $\{ - 21,7 \}$ 
C)  $\{ 15,7 \}$ 
D)  $\{ - 7,7 \}$

Question 14

Solve the problem.
-A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 276 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed? A) $9,522 \mathrm { ft } ^ { 2 }$

Accepted Answer

B)  $19,044 \mathrm { ft } ^ { 2 }$ 
C)  $14,283 \mathrm { ft } ^ { 2 }$ 
D)  $4,761 \mathrm { ft } ^ { 2 }$ 
B)  $19,044 \mathrm { ft } ^ { 2 }$ 
C)  $14,283 \mathrm { ft } ^ { 2 }$ 
D)  $4,761 \mathrm { ft } ^ { 2 }$

Question 15

Use the slope and y-intercept to graph the linear function.
-$f(x)=2 x-2$
 
 A)

Accepted Answer

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

Question 16

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
-$$f ( x ) = - x ^ { 2 } - 2 x - 8$$

Accepted Answer

A)  maximum; - 1 
B)  minimum; - 7 
C)  maximum; - 7 
D)  minimum; - 1 
A)  maximum; - 1 
B)  minimum; - 7 
C)  maximum; - 7 
D)  minimum; - 1

Question 17

Solve the problem.
-A projectile is fired from a cliff 300 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 300 feet per second. The height h of the projectile above the water is given by $$h ( x ) = \frac { - 32 x ^ { 2 } } { ( 300 ) ^ { 2 } } + x + 300$$ ,
Where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is
The height of the projectile a maximum?

Accepted Answer

A)  1,003.13 ft 
B)  1,406.25 ft 
C)  703.13 ft 
D)  2,409.38 ft 
A)  1,003.13 ft 
B)  1,406.25 ft 
C)  703.13 ft 
D)  2,409.38 ft

Question 18

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$\begin{array}{l|lllll}
\mathrm{x} & 24 & 26 & 28 & 30 & 32 \
\hline \mathrm{y} & 15 & 13 & 20 & 16 & 24
\end{array}$

Accepted Answer

A)  $y=0.95 x+11.8$ 
B)  $y = 0.95 x - 11.8$ 
C)  $y = 1.05 x - 11.8$ 
D)  $y = 1.05 x + 11.8$ 
A)  $y=0.95 x+11.8$ 
B)  $y = 0.95 x - 11.8$ 
C)  $y = 1.05 x - 11.8$ 
D)  $y = 1.05 x + 11.8$

Question 19

Graph the function. State whether it is increasing, decreasing, or constant..
-$F(x)=6$
 
 A) constant

Accepted Answer

B)  constant
  
C)  decreasing
  
D)  constant
  
B)  constant
  
C)  decreasing
  
D)  constant

Question 20

Solve the problem.
-You have 348 feet of fencing to enclose a rectangular region. What is the maximum area?

Accepted Answer

A)  121,104 square feet 
B)  7,569 square feet 
C)  30,276 square feet 
D)  7,565 square feet 
A)  121,104 square feet 
B)  7,569 square feet 
C)  30,276 square feet 
D)  7,565 square feet

Solve the equation. - $| 3 x | = 0$

Plot and interpret the appropriate scatter diagram. -The table gives the times spent watching TV and the grades of several students. Weekly TV (h) 6 12 18 24 30 36 Grade (\%) 92.5 87.5 72.5 77.5 62.5 57.5 Which scatter diagram describes the data and the relationship, if any?

Solve the inequality. - $x ^ { 2 } - 36 \leq 0$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 10 20 30 40 50 3.9 4.6 5.4 6.9 8.3

Solve the problem. -The price p (in dollars) and the quantity x sold of a certain product obey the demand equation $p = - 10 x + 240 , \quad 0 \leq x \leq 24$ What price should the company charge to maximize revenue?

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = x ^ { 2 } + 2$

Solve the problem. -The number of mosquitoes $\mathrm { M } ( \mathrm { x } )$ , in millions, in a certain area depends on the June rainfall $x$ , in inches: $M ( x ) = 11 x - x ^ { 2 }$ . What rainfall produces the maximum number of mosquitoes?

Solve the problem. -Identify the scatter diagram of the relation that appears linear. A) B) C) D)

Solve the equation. - $| x + 7 | - 3 = 11$

Use the slope and y-intercept to graph the linear function. - $f(x)=2 x-2$ A) B) C) D)

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = - x ^ { 2 } - 2 x - 8$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 24 26 28 30 32 15 13 20 16 24

Graph the function. State whether it is increasing, decreasing, or constant.. - $F(x)=6$ A) constant B) constant C) decreasing D) constant

Solve the problem. -You have 348 feet of fencing to enclose a rectangular region. What is the maximum area?

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Review

Filters

Exam 2: Linear and Quadratic Functions

Solve the equation. - ∣3x∣=0| 3 x | = 0∣3x∣=0

Graph the function f by starting with the graph of y y=x2y = x ^ { 2 }y=x2 and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=−3x2−5f(x)=-3 x^{2}-5f(x)=−3x2−5 A) B) C) D)

Plot and interpret the appropriate scatter diagram. -The table gives the times spent watching TV and the grades of several students. Weekly TV (h) 6 12 18 24 30 36 Grade (\%) 92.5 87.5 72.5 77.5 62.5 57.5 Which scatter diagram describes the data and the relationship, if any?

Solve the inequality. - x2−36≤0x ^ { 2 } - 36 \leq 0x2−36≤0

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 10 20 30 40 50 3.9 4.6 5.4 6.9 8.3

Solve the problem. -The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p=−10x+240,0≤x≤24p = - 10 x + 240 , \quad 0 \leq x \leq 24p=−10x+240,0≤x≤24 What price should the company charge to maximize revenue?

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - f(x)=x2+2f ( x ) = x ^ { 2 } + 2f(x)=x2+2

Solve the problem. -The number of mosquitoes M(x)\mathrm { M } ( \mathrm { x } )M(x) , in millions, in a certain area depends on the June rainfall xxx , in inches: M(x)=11x−x2M ( x ) = 11 x - x ^ { 2 }M(x)=11x−x2 . What rainfall produces the maximum number of mosquitoes?

Solve the problem. -Identify the scatter diagram of the relation that appears linear. A) B) C) D)

Solve the equation. - ∣x+7∣−3=11| x + 7 | - 3 = 11∣x+7∣−3=11

Use the slope and y-intercept to graph the linear function. - f(x)=2x−2f(x)=2 x-2f(x)=2x−2 A) B) C) D)

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - f(x)=−x2−2x−8f ( x ) = - x ^ { 2 } - 2 x - 8f(x)=−x2−2x−8

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 24 26 28 30 32 15 13 20 16 24

Graph the function. State whether it is increasing, decreasing, or constant.. - F(x)=6F(x)=6F(x)=6 A) constant B) constant C) decreasing D) constant

Solve the problem. -You have 348 feet of fencing to enclose a rectangular region. What is the maximum area?

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Review

Filters

Solve the equation. - $| 3 x | = 0$

Solve the inequality. - $x ^ { 2 } - 36 \leq 0$

Solve the problem. -The price p (in dollars) and the quantity x sold of a certain product obey the demand equation $p = - 10 x + 240 , \quad 0 \leq x \leq 24$ What price should the company charge to maximize revenue?

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = x ^ { 2 } + 2$

Solve the problem. -The number of mosquitoes $\mathrm { M } ( \mathrm { x } )$ , in millions, in a certain area depends on the June rainfall $x$ , in inches: $M ( x ) = 11 x - x ^ { 2 }$ . What rainfall produces the maximum number of mosquitoes?

Solve the equation. - $| x + 7 | - 3 = 11$

Use the slope and y-intercept to graph the linear function. - $f(x)=2 x-2$ A) B) C) D)

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = - x ^ { 2 } - 2 x - 8$

Graph the function. State whether it is increasing, decreasing, or constant.. - $F(x)=6$ A) constant B) constant C) decreasing D) constant