Question 1

Solve the problem.
-If $h ( x ) = x ^ { 2 } + 2 x - 8$, solve $h ( x ) > 0$.

Accepted Answer

A)  $( - \infty , - 4 )$ 
B)  $( - 4,2 )$ 
C)  $( - \infty , - 4 )$ or $( 2 , \infty )$ 
D)  $( 2 , \infty )$ 
A)  $( - \infty , - 4 )$ 
B)  $( - 4,2 )$ 
C)  $( - \infty , - 4 )$ or $( 2 , \infty )$ 
D)  $( 2 , \infty )$

Question 2

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$$| x - 5 | + 6 \leq 14$$

Accepted Answer

A)  $( - 3,13 )$
  
B)  $[ - 3,13 ]$
  
C) $[ - 3,14 ]$
  
D)  $\varnothing$
  
A)  $( - 3,13 )$
  
B)  $[ - 3,13 ]$
  
C) $[ - 3,14 ]$
  
D)  $\varnothing$

Question 3

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary.
-$\begin{array}{c|cccccc}
\mathrm{x} & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \mathrm{y} & 17 & 20 & 19 & 22 & 21 & 24
\end{array}$

Accepted Answer

A)  $y = 1.17 x + 16.4$ 
B)  $y = 1.03 x + 16.4$ 
C)  $y = 1.03 x + 18.9$ 
D)  $y = 1.17 x + 18.9$ 
A)  $y = 1.17 x + 16.4$ 
B)  $y = 1.03 x + 16.4$ 
C)  $y = 1.03 x + 18.9$ 
D)  $y = 1.17 x + 18.9$

Question 4

Solve the problem.
-Super Sally, a truly amazing individual, picks up a rock and throws it as hard as she can. The table below displays the relationship between the rock's horizontal distance, d (in feet) from Sally and the initial speed with which she throws. $$\begin{array} { l | c c c c c } 
\text { Initial speed ( in ft/sec), } \mathrm { v } & 10 & 15 & 20 & 25 & 30 \
\hline \text { Horizontal distance of the rock (in feet), d } & 9.9 & 14.8 & 19.1 & 24.5 & 28.2
\end{array}$$ Assume that the horizontal distance travelled varies linearly with the speed with which the rock is thrown. Using a
Graphing utility, find the line of best fit, and estimate, rounded to two decimal places, the horizontal distance of the rock
If the initial speed is 33 ft/sec.

Accepted Answer

A)  31.34 feet 
B)  26.67 feet 
C)  31.33 feet 
D)  34.76 feet 
A)  31.34 feet 
B)  26.67 feet 
C)  31.33 feet 
D)  34.76 feet

Question 5

Graph the function f by starting with the graph of y $y = x ^ { 2 }$ and using transformations (shifting, compressing, stretching,
and/or reflection).
-$f(x)=6 x^{2}+12 x-3$
 
 A)

Accepted Answer

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

Question 6

Solve the problem.
-The cost for labor associated with fixing a washing machine is computed as follows: There is a fixed charge of $30 for the repairman to come to the house, to which a charge of $23 per hour is added. Find an equation that can be used to determine the labor cost, C(x), of a repair that takes x hours.

Accepted Answer

A)  C(x) = 30 + 23x 
B)  C(x) = 30 - 23x 
C)  C(x) = ( 30 + 23) x 
D)  C(x) = 23 + 30x 
A)  C(x) = 30 + 23x 
B)  C(x) = 30 - 23x 
C)  C(x) = ( 30 + 23) x 
D)  C(x) = 23 + 30x

Question 7

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions.
-$$\begin{array} { l } 
f ( x ) = x ^ { 2 } + 6 x + 23 \
g ( x ) = 23
\end{array}$$

Accepted Answer

A)  $x = 0 , x = 6$ 
B)  $x = - 6 , x = 0$ 
C)  $x = \frac { 6 \pm \sqrt { 23 } } { 2 }$ 
D)  no real numbers 
A)  $x = 0 , x = 6$ 
B)  $x = - 6 , x = 0$ 
C)  $x = \frac { 6 \pm \sqrt { 23 } } { 2 }$ 
D)  no real numbers

Question 8

Solve the problem.
-If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 49 \mathrm { t }$. During what interval of time will the rocket be higher than $58.8 \mathrm {~m}$ ?

Accepted Answer

A)  $0 < t < 2$ 
B)  $4 < t < 5$ 
C)  $3 < t < 4$ 
D)  $2 < t < 3$ 
A)  $0 < t < 2$ 
B)  $4 < t < 5$ 
C)  $3 < t < 4$ 
D)  $2 < t < 3$

Question 9

Solve the inequality. Express your answer using interval notation. Graph the solution set.
-$$| x - 9 | \geq 0$$

Accepted Answer

A)  $( - \infty , - 9 ) \cup ( - 9 , \infty )$
  
B)  9
  
C)  $( - \infty , 9 ) \cup ( 9 , \infty )$
  
D)  $( - \infty , \infty )$
  
A)  $( - \infty , - 9 ) \cup ( - 9 , \infty )$
  
B)  9
  
C)  $( - \infty , 9 ) \cup ( 9 , \infty )$
  
D)  $( - \infty , \infty )$

Question 10

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

Accepted Answer

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

Question 11

Find the complex zeros of the quadratic function.
-$$g ( x ) = 4 x ^ { 2 } - x + 3$$

Accepted Answer

A)  $x = 1 \pm \sqrt { 47 }$ 
B)  $x = \frac { 1 } { 4 } \pm \frac { \sqrt { 47 } } { 4 } \mathrm { i }$ 
C)  $x = - \frac { 1 } { 4 } , x = \frac { 1 } { 3 }$ 
D)  $x = \frac { 1 } { 8 } \pm \frac { \sqrt { 47 } } { 8 } \mathrm { i }$ 
A)  $x = 1 \pm \sqrt { 47 }$ 
B)  $x = \frac { 1 } { 4 } \pm \frac { \sqrt { 47 } } { 4 } \mathrm { i }$ 
C)  $x = - \frac { 1 } { 4 } , x = \frac { 1 } { 3 }$ 
D)  $x = \frac { 1 } { 8 } \pm \frac { \sqrt { 47 } } { 8 } \mathrm { i }$

Question 12

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
-$$f ( x ) = - 5 x ^ { 2 } + 5 x$$

Accepted Answer

A)  minimum; $- \frac { 5 } { 4 }$ 
B)  maximum; $- \frac { 5 } { 4 }$ 
C)  minimum; $\frac { 5 } { 4 }$ 
D)  maximum; $\frac { 5 } { 4 }$ 
A)  minimum; $- \frac { 5 } { 4 }$ 
B)  maximum; $- \frac { 5 } { 4 }$ 
C)  minimum; $\frac { 5 } { 4 }$ 
D)  maximum; $\frac { 5 } { 4 }$

Question 13

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

Accepted Answer

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

Question 14

Solve the problem.
-If a polygon, of n sides has $$\frac { 1 } { 2 } n ( n - 3 )$$ ) diagonals, how many sides will a polygon with 189 diagonals have?

Accepted Answer

A)  22 sides 
B)  21 sides 
C)  20 sides 
D)  23 sides 
A)  22 sides 
B)  21 sides 
C)  20 sides 
D)  23 sides

Question 15

Determine the average rate of change for the function.
-h(x) = -4x + 10

Accepted Answer

A)  10 
B)  -10 
C)  -4 
D)  4 
A)  10 
B)  -10 
C)  -4 
D)  4

Question 16

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$G ( x ) = x ^ { 4 } - 23 x ^ { 2 } - 50$$

Accepted Answer

A)  $x = - 5 , x = 5$ 
B)  $x = - 25 , x = 2$ 
C)  $x = - \sqrt { 2 } , x = \sqrt { 2 }$ 
D)  no real solution 
A)  $x = - 5 , x = 5$ 
B)  $x = - 25 , x = 2$ 
C)  $x = - \sqrt { 2 } , x = \sqrt { 2 }$ 
D)  no real solution

Question 17

Solve the problem.
-The length of a vegetable garden is 3 feet longer than its width. If the area of the garden is 130 square feet, find its dimensions.

Accepted Answer

A)  10 ft by 13 ft 
B)  11 ft by 14 ft 
C)  9 ft by 12 ft 
D)  9 ft by 14 ft 
A)  10 ft by 13 ft 
B)  11 ft by 14 ft 
C)  9 ft by 12 ft 
D)  9 ft by 14 ft

Question 18

Solve the problem.
-The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by $$C ( x ) = 2 x ^ { 2 } - 32 x + 790$$ where x is the number of videos rented daily. Find the lowest cost to the nearest
Dollar.

Accepted Answer

A)  $278 
B)  $662 
C)  $534 
D)  $918 
A)  $278 
B)  $662 
C)  $534 
D)  $918

Question 19

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function.
-$$f ( x ) = x ^ { 2 } - \frac { 2 } { 5 } x - \frac { 8 } { 25 }$$

Accepted Answer

A)  $x = - \frac { 4 } { 5 } , x = - \frac { 2 } { 5 }$ 
B)  $x = \frac { 4 } { 5 } , x = \frac { 2 } { 5 }$ 
C)  $x = - \frac { 4 } { 5 } , x = \frac { 2 } { 5 }$ 
D)  $x = \frac { 4 } { 5 } , x = - \frac { 2 } { 5 }$ 
A)  $x = - \frac { 4 } { 5 } , x = - \frac { 2 } { 5 }$ 
B)  $x = \frac { 4 } { 5 } , x = \frac { 2 } { 5 }$ 
C)  $x = - \frac { 4 } { 5 } , x = \frac { 2 } { 5 }$ 
D)  $x = \frac { 4 } { 5 } , x = - \frac { 2 } { 5 }$

Question 20

Use the slope and y-intercept to graph the linear function.
-$$h ( x ) = - \frac { 3 } { 4 } x + 3$$
 
 A)

Accepted Answer

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

Solve the problem. -If $h ( x ) = x ^ { 2 } + 2 x - 8$ , solve $h ( x ) > 0$ .

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 5 | + 6 \leq 14$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x - 5 | + 6 \leq 14$

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 1 2 3 4 5 6 17 20 19 22 21 24

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. - f(x)=+6x+23 g(x)=23

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 49 \mathrm { t }$ . During what interval of time will the rocket be higher than $58.8 \mathrm {~m}$ ?

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 9 | \geq 0$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x - 9 | \geq 0$

Find the complex zeros of the quadratic function. - $g ( x ) = 4 x ^ { 2 } - x + 3$

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = - 5 x ^ { 2 } + 5 x$

Solve the problem. -If a polygon, of n sides has $\frac { 1 } { 2 } n ( n - 3 )$ ) diagonals, how many sides will a polygon with 189 diagonals have?

Determine the average rate of change for the function. -h(x) = -4x + 10

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $G ( x ) = x ^ { 4 } - 23 x ^ { 2 } - 50$

Solve the problem. -The length of a vegetable garden is 3 feet longer than its width. If the area of the garden is 130 square feet, find its dimensions.

Solve the problem. -The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by $C ( x ) = 2 x ^ { 2 } - 32 x + 790$ where x is the number of videos rented daily. Find the lowest cost to the nearest Dollar.

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - \frac { 2 } { 5 } x - \frac { 8 } { 25 }$

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 problem. -If h(x)=x2+2x−8h ( x ) = x ^ { 2 } + 2 x - 8h(x)=x2+2x−8 , solve h(x)>0h ( x ) > 0h(x)>0 .

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x−5∣+6≤14| x - 5 | + 6 \leq 14∣x−5∣+6≤14

Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - 1 2 3 4 5 6 17 20 19 22 21 24

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)=6x2+12x−3f(x)=6 x^{2}+12 x-3f(x)=6x2+12x−3 A) B) C) D)

Solve f(x) = g(x). Find the points of intersection of the graphs of the two functions. - f(x)=+6x+23 g(x)=23

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+49th = - 9.8 \mathrm { t } ^ { 2 } + 49 \mathrm { t }h=−9.8t2+49t . During what interval of time will the rocket be higher than 58.8 m58.8 \mathrm {~m}58.8 m ?

Solve the inequality. Express your answer using interval notation. Graph the solution set. - ∣x−9∣≥0| x - 9 | \geq 0∣x−9∣≥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)=−x2+2xf ( x ) = - x ^ { 2 } + 2 xf(x)=−x2+2x A) B) C) D)

Find the complex zeros of the quadratic function. - g(x)=4x2−x+3g ( x ) = 4 x ^ { 2 } - x + 3g(x)=4x2−x+3

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - f(x)=−5x2+5xf ( x ) = - 5 x ^ { 2 } + 5 xf(x)=−5x2+5x

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)=5x2−2f(x)=5 x^{2}-2f(x)=5x2−2 A) B) C) D)

Solve the problem. -If a polygon, of n sides has 12n(n−3)\frac { 1 } { 2 } n ( n - 3 )21​n(n−3) ) diagonals, how many sides will a polygon with 189 diagonals have?

Determine the average rate of change for the function. -h(x) = -4x + 10

Find the real zeros of the function. List the x-intercepts of the graph of the function. - G(x)=x4−23x2−50G ( x ) = x ^ { 4 } - 23 x ^ { 2 } - 50G(x)=x4−23x2−50

Solve the problem. -The length of a vegetable garden is 3 feet longer than its width. If the area of the garden is 130 square feet, find its dimensions.

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - f(x)=x2−25x−825f ( x ) = x ^ { 2 } - \frac { 2 } { 5 } x - \frac { 8 } { 25 }f(x)=x2−52​x−258​

Use the slope and y-intercept to graph the linear function. - h(x)=−34x+3h ( x ) = - \frac { 3 } { 4 } x + 3h(x)=−43​x+3 A) B) C) D)

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 problem. -If $h ( x ) = x ^ { 2 } + 2 x - 8$ , solve $h ( x ) > 0$ .

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 5 | + 6 \leq 14$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x - 5 | + 6 \leq 14$

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 49 \mathrm { t }$ . During what interval of time will the rocket be higher than $58.8 \mathrm {~m}$ ?

Solve the inequality. Express your answer using interval notation. Graph the solution set. - $| x - 9 | \geq 0$ $Solve the inequality. Express your answer using interval notation. Graph the solution set. - | x - 9 | \geq 0$

Find the complex zeros of the quadratic function. - $g ( x ) = 4 x ^ { 2 } - x + 3$

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value. - $f ( x ) = - 5 x ^ { 2 } + 5 x$

Solve the problem. -If a polygon, of n sides has $\frac { 1 } { 2 } n ( n - 3 )$ ) diagonals, how many sides will a polygon with 189 diagonals have?

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $G ( x ) = x ^ { 4 } - 23 x ^ { 2 } - 50$

Find the zeros of the quadratic function by completing the square. List the x-intercepts of the graph of the function. - $f ( x ) = x ^ { 2 } - \frac { 2 } { 5 } x - \frac { 8 } { 25 }$