Question 1

Solve the equation.
-$$\left| \frac { 1 } { 3 } x - 8 \right| = 4$$

Accepted Answer

A)  $\{ 36 \}$ 
B)  $\{ 12 \}$ 
C)  $\{ 12,36,0 \}$ 
D)  $\{ 12,36 \}$ 
A)  $\{ 36 \}$ 
B)  $\{ 12 \}$ 
C)  $\{ 12,36,0 \}$ 
D)  $\{ 12,36 \}$

Question 2

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

Accepted Answer

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

Question 3

Write the word or phrase that best completes each statement or answers the question.
-The table shows the study times and test scores for a number of students. Draw a scatter plot of score versus time
treating time as the independent variable. $$\begin{array} { l | c c c c c c c c } 
\text { Study Time (min) } & 9 & 16 & 21 & 26 & 33 & 36 & 40 & 47 \
\hline \text { Test Score } & 59 & 61 & 64 & 65 & 73 & 74 & 78 & 78
\end{array}$$

Accepted Answer

The answer of Write the word or phrase that best...

Question 4

Plot a scatter diagram.
-$$\begin{array} { c | c c c c c c c c c c } 
\mathrm { x } & 24 & - 13 & 7 & - 10 & - 6 & 17 & 6 & 18 & 10 & 1 \
\hline \mathrm { y } & 56 & 26 & 41 & - 12 & - 2 & 29 & 7 & 71 & - 9 & 5
\end{array}$$

Accepted Answer

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

Question 5

Find the zero of the linear function.
-h(x) = 11 - x

Accepted Answer

A)  -22 
B)  1 
C)  11 
D)  -11 
A)  -22 
B)  1 
C)  11 
D)  -11

Question 6

Determine the slope and y-intercept of the function.
-h(x) = -2x - 6

Accepted Answer

A)  m = 2; b = 6 
B)  m = 2; b = - 6 
C)  m = -2; b = - 6 
D)  m = -2; b = 6 
A)  m = 2; b = 6 
B)  m = 2; b = - 6 
C)  m = -2; b = - 6 
D)  m = -2; b = 6

Question 7

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function.
-$$g ( x ) = ( x - 2 ) ^ { 2 } - 49$$

Accepted Answer

A)  $x = - 9 , x = - 5$ 
B)  $x = 51$ 
C)  $x = - 5 , x = 9$ 
D)  $x = - 7 , x = 7$ 
A)  $x = - 9 , x = - 5$ 
B)  $x = 51$ 
C)  $x = - 5 , x = 9$ 
D)  $x = - 7 , x = 7$

Question 8

Graph the function. State whether it is increasing, decreasing, or constant..
-$p(x)=-x+2$

Accepted Answer

A)  increasing
  
B)  decreasing
  
C)  increasing
  
D)  decreasing
  
A)  increasing
  
B)  decreasing
  
C)  increasing
  
D)  decreasing

Question 9

Solve the problem.
-The revenue achieved by selling $x$ graphing calculators is figured to be $x ( 28 - 0.2 x )$ dollars. The cost of each calculator is $\$ 20$. How many graphing calculators must be sold to make a profit (revenue - cost) of at least $\$ 75.00$ ?

Accepted Answer

A)  $\{ x \mid 17 < x < 23 \}$ 
B)  $\{ x \mid 16 < x < 14 \}$ 
C)  $\{ x \mid 5 < x < 15 \}$ 
D)  $\{ x \mid 15 < x < 25 \}$ 
A)  $\{ x \mid 17 < x < 23 \}$ 
B)  $\{ x \mid 16 < x < 14 \}$ 
C)  $\{ x \mid 5 < x < 15 \}$ 
D)  $\{ x \mid 15 < x < 25 \}$

Question 10

Find the zero of the linear function.
-g(x) = -x + 8

Accepted Answer

A)  0 
B)  -8 
C)  8 
D)  -16 
A)  0 
B)  -8 
C)  8 
D)  -16

Question 11

Solve the inequality.
-$$x ^ { 2 } - 9 x \geq 0$$

Accepted Answer

A)  $[ 0,9 ]$ 
B)  $[ - 9,0 ]$ 
C)  $( - \infty , - 9 ]$ or $[ 0 , \infty )$ 
D)  $( - \infty , 0 ]$ or $[ 9 , \infty )$ 
A)  $[ 0,9 ]$ 
B)  $[ - 9,0 ]$ 
C)  $( - \infty , - 9 ]$ or $[ 0 , \infty )$ 
D)  $( - \infty , 0 ]$ or $[ 9 , \infty )$

Question 12

Find the real zeros of the function. List the x-intercepts of the graph of the function.
-$$h ( x ) = 5 x ^ { 4 } - 497 x ^ { 2 } - 300$$

Accepted Answer

A)  $x = 10$ 
B)  $x = - \frac { \sqrt { 15 } } { 5 } , x = \frac { \sqrt { 15 } } { 5 } , x = - 10 , x = 10$ 
C)  $x = - 10 , x = 10$ 
D)  no real solution 
A)  $x = 10$ 
B)  $x = - \frac { \sqrt { 15 } } { 5 } , x = \frac { \sqrt { 15 } } { 5 } , x = - 10 , x = 10$ 
C)  $x = - 10 , x = 10$ 
D)  no real solution

Question 13

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-The number of housing starts in one beachside community remained fairly level until 1992 and then began to increase. The following data shows the number of housing starts since 1992 (x = 1). Use a graphing calculator to
Plot a scatter diagram. What is the quadratic function of best fit? $\begin{array}{l|l}
\text { Year, x } & \text { Housing Starts, H } \
\hline 1 & 200 \
2 & 205 \
3 & 210 \
4 & 240 \
5 & 245 \
6 & 230 \
7 & 220 \
8 & 210
\end{array}$

Accepted Answer

A)  $H ( x ) = - 2.679 x ^ { 2 } + 26.607 x + 168.571$ 
B)  $H ( x ) = - 2.679 x ^ { 2 } + 26.607 x - 168.571$ 
C)  $\mathrm { H } ( \mathrm { x } ) = 2.679 \mathrm { x } ^ { 2 } + 26.607 \mathrm { x } + 168.571$ 
D)  $\mathrm { H } ( \mathrm { x } ) = - 2.679 \mathrm { x } ^ { 2 } - 26.607 \mathrm { x } + 168.571$ 
A)  $H ( x ) = - 2.679 x ^ { 2 } + 26.607 x + 168.571$ 
B)  $H ( x ) = - 2.679 x ^ { 2 } + 26.607 x - 168.571$ 
C)  $\mathrm { H } ( \mathrm { x } ) = 2.679 \mathrm { x } ^ { 2 } + 26.607 \mathrm { x } + 168.571$ 
D)  $\mathrm { H } ( \mathrm { x } ) = - 2.679 \mathrm { x } ^ { 2 } - 26.607 \mathrm { x } + 168.571$

Question 14

Solve the equation.
-$$3 m + 6 \mid = 9$$

Accepted Answer

A)  $\{ - 5,1 \}$ 
B)  $\left\{ - \frac { 5 } { 2 } , \frac { 1 } { 2 } \right\}$ 
C)  $\varnothing$ 
D)  $\{ - 1,5 \}$ 
A)  $\{ - 5,1 \}$ 
B)  $\left\{ - \frac { 5 } { 2 } , \frac { 1 } { 2 } \right\}$ 
C)  $\varnothing$ 
D)  $\{ - 1,5 \}$

Question 15

Use a graphing calculator to plot the data and find the quadratic function of best fit.
-A rock is dropped from a tall building and its distance (in feet) below the point of release is recorded as accurately as possible at various times after the moment of release. The results are shown in the table. Find the regression equation
Of the best model. $\begin{array}{l|llllll}
\mathrm{x} \text { (seconds after release) } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \mathrm{y} \text { (distance in feet) } & 16 & 63 & 146 & 255 & 403 & 572
\end{array}$

Accepted Answer

A)  $y = 15.95 \mathrm { x } ^ { 2 }$ 
B)  $y = - 74.9 + 290 \ln x$ 
C)  $y = - 148.4 + 112 x$ 
D)  $y = 13.0 e ^ { 0.686 x }$ 
A)  $y = 15.95 \mathrm { x } ^ { 2 }$ 
B)  $y = - 74.9 + 290 \ln x$ 
C)  $y = - 148.4 + 112 x$ 
D)  $y = 13.0 e ^ { 0.686 x }$

Question 16

Determine the slope and y-intercept of the function.
-$$f ( x ) = \frac { 1 } { 4 } x - 3$$

Accepted Answer

A)  $\mathrm { m } = - \frac { 1 } { 4 } ; b = 3$ 
B)  $\mathrm { m } = 4 ; \mathrm { b } = 3$ 
C)  $ \mathrm { m } = \frac { 1 } { 4 } ; \mathrm { b } = - 3$ 
D)  $\mathrm { m } = - 3 ; \mathrm { b } = \frac { 1 } { 4 }$ 
A)  $\mathrm { m } = - \frac { 1 } { 4 } ; b = 3$ 
B)  $\mathrm { m } = 4 ; \mathrm { b } = 3$ 
C)  $ \mathrm { m } = \frac { 1 } { 4 } ; \mathrm { b } = - 3$ 
D)  $\mathrm { m } = - 3 ; \mathrm { b } = \frac { 1 } { 4 }$

Question 17

Find the vertex and axis of symmetry of the graph of the function.
-$$f ( x ) = x ^ { 2 } + 3 x + 6$$

Accepted Answer

A)  $\left( \frac { 3 } { 2 } , \frac { 51 } { 4 } \right) ; x = \frac { 3 } { 2 }$ 
B)  $( - 1,6 ) ; x = - 1$ 
C)  $( 3,24 ) ; x = 3$ 
D)  $\left( - \frac { 3 } { 2 } , \frac { 15 } { 4 } \right) ; x = - \frac { 3 } { 2 }$ 
A)  $\left( \frac { 3 } { 2 } , \frac { 51 } { 4 } \right) ; x = \frac { 3 } { 2 }$ 
B)  $( - 1,6 ) ; x = - 1$ 
C)  $( 3,24 ) ; x = 3$ 
D)  $\left( - \frac { 3 } { 2 } , \frac { 15 } { 4 } \right) ; x = - \frac { 3 } { 2 }$

Question 18

Find the zero of the linear function.
-f(x) = x + 7

Accepted Answer

A)  7 
B)  -7 
C)  0 
D)  14 
A)  7 
B)  -7 
C)  0 
D)  14

Question 19

Without solving, determine the character of the solutions of the equation.
-$$f ( x ) = x ^ { 2 } + 3 x - 7$$

Accepted Answer

A)  two complex solutions that are conjugates of each other 
B)  a repeated real solution 
C)  two unequal real solutions 
A)  two complex solutions that are conjugates of each other 
B)  a repeated real solution 
C)  two unequal real solutions

Question 20

Determine the slope and y-intercept of the function.
-$$G ( x ) = - 5 x$$

Accepted Answer

A)  $\mathrm { m } = 5 ; \mathrm { b } = 0$ 
B)  $m = 0 ; b = - 5$ 
C)  $\mathrm { m } = - 5 ; \mathrm { b } = 0$ 
D)  $\mathrm { m } = - \frac { 1 } { 5 } ; \mathrm { b } = 0$ 
A)  $\mathrm { m } = 5 ; \mathrm { b } = 0$ 
B)  $m = 0 ; b = - 5$ 
C)  $\mathrm { m } = - 5 ; \mathrm { b } = 0$ 
D)  $\mathrm { m } = - \frac { 1 } { 5 } ; \mathrm { b } = 0$

Solve the equation. - $\left| \frac { 1 } { 3 } x - 8 \right| = 4$

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

Find the zero of the linear function. -h(x) = 11 - x

Determine the slope and y-intercept of the function. -h(x) = -2x - 6

Find the zeros of the quadratic function using the Square Root Method. List the x-intercepts of the graph of the function. - $g ( x ) = ( x - 2 ) ^ { 2 } - 49$

Graph the function. State whether it is increasing, decreasing, or constant.. - $p(x)=-x+2$

Solve the problem. -The revenue achieved by selling $x$ graphing calculators is figured to be $x ( 28 - 0.2 x )$ dollars. The cost of each calculator is $\$ 20$ . How many graphing calculators must be sold to make a profit (revenue - cost) of at least $\$ 75.00$ ?

Find the zero of the linear function. -g(x) = -x + 8

Solve the inequality. - $x ^ { 2 } - 9 x \geq 0$

Find the real zeros of the function. List the x-intercepts of the graph of the function. - $h ( x ) = 5 x ^ { 4 } - 497 x ^ { 2 } - 300$

Solve the equation. - $3 m + 6 \mid = 9$

Determine the slope and y-intercept of the function. - $f ( x ) = \frac { 1 } { 4 } x - 3$

Find the vertex and axis of symmetry of the graph of the function. - $f ( x ) = x ^ { 2 } + 3 x + 6$

Find the zero of the linear function. -f(x) = x + 7

Without solving, determine the character of the solutions of the equation. - $f ( x ) = x ^ { 2 } + 3 x - 7$

Determine the slope and y-intercept of the function. - $G ( x ) = - 5 x$

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

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Exam 2: Linear and Quadratic Functions

Solve the equation. - ∣13x−8∣=4\left| \frac { 1 } { 3 } x - 8 \right| = 4​31​x−8​=4