Question 1

Solve by completing the square.
-$$3 x ^ { 2 } - 7 x - 5 = x ^ { 2 } + 2 x - x ( x + 1 ) + 1$$

Accepted Answer

A)  $\frac { 4 \pm \sqrt { 34 } } { 3 }$ 
B)  $\frac { 6 \pm \sqrt { 34 } } { 3 }$ 
C)  $\frac { 5 \pm \sqrt { 23 } } { 3 }$ 
D)  $\frac { 4 \pm \sqrt { 31 } } { 3 }$ 
A)  $\frac { 4 \pm \sqrt { 34 } } { 3 }$ 
B)  $\frac { 6 \pm \sqrt { 34 } } { 3 }$ 
C)  $\frac { 5 \pm \sqrt { 23 } } { 3 }$ 
D)  $\frac { 4 \pm \sqrt { 31 } } { 3 }$

Question 2

Solve the problem.
-Suppose y = mx + b is a mathematical model for actual time as a function of estimated time, where y represents actual time and x represents estimated time and m and b are constants. If m = 1.4 and b = -4.5, find y when x is
60 min.

Accepted Answer

A)  88.5 min 
B)  79.5 min 
C)  66.3 min 
D)  53.7 min 
A)  88.5 min 
B)  79.5 min 
C)  66.3 min 
D)  53.7 min

Question 3

Identify the base. Do not evaluate.
-$- 9.7 ^ { 4 }$

Accepted Answer

A)  $9.7$ 
B)  4 
C)  $- 4$ 
D)  $- 9.7$ 
A)  $9.7$ 
B)  4 
C)  $- 4$ 
D)  $- 9.7$

Question 4

Solve the inequality algebraically. Write the solution in interval notation.
-$$| 4 x + 3 | < 6$$

Accepted Answer

A)  $( - \infty , 4 )$ 
B)  $\left( - \infty , - \frac { 9 } { 4 } \right) \cup \left( \frac { 3 } { 4 } , \infty \right)$ 
C)  $\left( - \frac { 9 } { 4 } , \frac { 3 } { 4 } \right)$ 
D)  $\left( - \infty , - \frac { 9 } { 4 } \right)$ 
A)  $( - \infty , 4 )$ 
B)  $\left( - \infty , - \frac { 9 } { 4 } \right) \cup \left( \frac { 3 } { 4 } , \infty \right)$ 
C)  $\left( - \frac { 9 } { 4 } , \frac { 3 } { 4 } \right)$ 
D)  $\left( - \infty , - \frac { 9 } { 4 } \right)$

Question 5

Find a general form equation for the line through the pair of points.
-(-4, 3) and (5, 3)

Accepted Answer

A)  y + 3 = 0 
B)  x - 4 = 0 
C)  x + 4 = 0 
D)  y - 3 = 0 
A)  y + 3 = 0 
B)  x - 4 = 0 
C)  x + 4 = 0 
D)  y - 3 = 0

Question 6

Give the quadrant in which the point is located.
-$( - 17,20 )$

Accepted Answer

A)  Quadrant III 
B)  Quadrant I 
C)  Quadrant IV 
D)  Quadrant II 
A)  Quadrant III 
B)  Quadrant I 
C)  Quadrant IV 
D)  Quadrant II

Question 7

Give the coordinates of the points shown on the graph.
-

Accepted Answer

A)  $\mathrm { A } ( 7,6 ) , \mathrm { B } ( 1,6 )$ 
B)  $A ( 7,1 ) , B ( - 2,6 )$ 
C)  $A ( 1,30 ) , B ( 6 , - 2 )$ 
D)  $\mathrm { A } ( 7,1 ) , \mathrm { B } ( 6 , - 2 )$ 
A)  $\mathrm { A } ( 7,6 ) , \mathrm { B } ( 1,6 )$ 
B)  $A ( 7,1 ) , B ( - 2,6 )$ 
C)  $A ( 1,30 ) , B ( 6 , - 2 )$ 
D)  $\mathrm { A } ( 7,1 ) , \mathrm { B } ( 6 , - 2 )$

Question 8

Write the expression in the form bi, where b is a real number.
-$\sqrt { - 49 }$

Accepted Answer

A)  $\pm 7$ 
B)  $- 7 \mathrm { i }$ 
C)  $7 \mathrm { i }$ 
D)  $\mathrm { i } \sqrt { 7 }$ 
A)  $\pm 7$ 
B)  $- 7 \mathrm { i }$ 
C)  $7 \mathrm { i }$ 
D)  $\mathrm { i } \sqrt { 7 }$

Question 9

Identify the base. Do not evaluate.
-$- ( - 8 ) ^ { 5 }$

Accepted Answer

A)  8 
B)  $- 8$ 
C)  5 
D)  $- 5$ 
A)  8 
B)  $- 8$ 
C)  5 
D)  $- 5$

Question 10

Use interval notation to describe the set of numbers.
-John is at least 35 years old.

Accepted Answer

A)  $( - \infty , 35 ]$ 
B)  $[ 35,55 ]$ 
C)  $[ 35 , \infty )$ 
D)  $( 35 , \infty )$ 
A)  $( - \infty , 35 ]$ 
B)  $[ 35,55 ]$ 
C)  $[ 35 , \infty )$ 
D)  $( 35 , \infty )$

Question 11

Determine the equation of the line described. Put answer in the slope-intercept form, if possible.
-Through $( - 3 , - 14 )$, parallel to $3 x + 8 y = - 65$

Accepted Answer

A)  $y = - \frac { 3 } { 8 } x - \frac { 121 } { 8 }$ 
B)  $y = \frac { 3 } { 8 } x + \frac { 121 } { 8 }$ 
C)  $y = \frac { 3 } { 8 } x - \frac { 65 } { 8 }$ 
D)  $y = - \frac { 8 } { 3 } x - \frac { 14 } { 3 }$ 
A)  $y = - \frac { 3 } { 8 } x - \frac { 121 } { 8 }$ 
B)  $y = \frac { 3 } { 8 } x + \frac { 121 } { 8 }$ 
C)  $y = \frac { 3 } { 8 } x - \frac { 65 } { 8 }$ 
D)  $y = - \frac { 8 } { 3 } x - \frac { 14 } { 3 }$

Question 12

Solve the equation by extracting the square roots.
-$$( r + 3 ) ^ { 2 } = 15$$

Accepted Answer

A)  $\mathrm { r } = \sqrt { 15 }$ or $\mathrm { r } = \sqrt { 15 }$ 
B)  $r = - 3 + \sqrt { 15 }$ or $r = - 3 - \sqrt { 15 }$ 
C)  $\mathrm { r } = \sqrt { 12 }$ or $\mathrm { r } = - \sqrt { 12 }$ 
D)  $r = 3 + \sqrt { 15 }$ or $r = 3 - \sqrt { 15 }$ 
A)  $\mathrm { r } = \sqrt { 15 }$ or $\mathrm { r } = \sqrt { 15 }$ 
B)  $r = - 3 + \sqrt { 15 }$ or $r = - 3 - \sqrt { 15 }$ 
C)  $\mathrm { r } = \sqrt { 12 }$ or $\mathrm { r } = - \sqrt { 12 }$ 
D)  $r = 3 + \sqrt { 15 }$ or $r = 3 - \sqrt { 15 }$

Question 13

Draw a scatter plot of the data given in the table.
-The number (y) of web pages created by a large multimedia firm for each year x from 1993 to 1998 is given in the following table.

number of web pages

Accepted Answer

A)  number of web pages
  
B)  number of web pages
  
C)  number of web pages
  
D)  number of web pages
  
A)  number of web pages
  
B)  number of web pages
  
C)  number of web pages
  
D)  number of web pages

Question 14

Use interval notation to describe the interval of real numbers.
-$$x \leq - 5$$

Accepted Answer

A)  $( - \infty , - 5 ]$ 
B)  $[ - 5 , \infty )$ 
C)  $( - 5 , \infty )$ 
D)  $( \infty , - 5 )$ 
A)  $( - \infty , - 5 ]$ 
B)  $[ - 5 , \infty )$ 
C)  $( - 5 , \infty )$ 
D)  $( \infty , - 5 )$

Question 15

Draw a scatter plot of the data given in the table.
-The number ( $\mathrm { y }$ ) of computers (in thousands) sold in a certain state for each year $x$ from 1994 to 1999 is given in the table below.

Accepted Answer

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

Question 16

Provide an appropriate response.
-If the $y$-intercept of the linear function $y = b + 4 x$ lies below the $x$-axis, then what can you say about b?

Accepted Answer

A)  $b  0$ 
A)  $b  0$

Question 17

Solve the inequality graphically.
-$x^{2}+5 x-14>0$

Accepted Answer

A)  $[ - 7,2 ]$ 
B)  $( - \infty , - 7 ] \cup [ 2 , \infty )$ 
C)  $( - \infty , - 7 ]$ 
D)  $[ 2 , \infty )$ 
A)  $[ - 7,2 ]$ 
B)  $( - \infty , - 7 ] \cup [ 2 , \infty )$ 
C)  $( - \infty , - 7 ]$ 
D)  $[ 2 , \infty )$

Question 18

Solve the problem.
-Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $3500 in 1982 and $74,000 in 1987. Let x = 0 represent 1982. Find the equation giving yearly sales S(x).

Accepted Answer

A)  S(x) = 70,500x + 3500 
B)  S(x) = 14,100x + 74,000 
C)  S(x) = 70,500x + 74,000 
D)  S(x) = 14,100x + 3500 
A)  S(x) = 70,500x + 3500 
B)  S(x) = 14,100x + 74,000 
C)  S(x) = 70,500x + 74,000 
D)  S(x) = 14,100x + 3500

Question 19

Use an inequality to describe the interval of real numbers.
-$x$ is less than or equal to $- 2$.

Accepted Answer

A)  $x \leq - 2$ 
B)  $x < - 2$ 
C)  $x < 2$ 
D)  $x \leq 2$ 
A)  $x \leq - 2$ 
B)  $x < - 2$ 
C)  $x < 2$ 
D)  $x \leq 2$

Question 20

-What was the percent of increase in sales between month 2 and month 12 of 1990? Round your answer to the nearest tenth.

Accepted Answer

A)  22.2% 
B)  28.6% 
C)  25.0% 
D)  14.3% 
A)  22.2% 
B)  28.6% 
C)  25.0% 
D)  14.3%

Solve by completing the square. - $3 x ^ { 2 } - 7 x - 5 = x ^ { 2 } + 2 x - x ( x + 1 ) + 1$

Solve the problem. -Suppose y = mx + b is a mathematical model for actual time as a function of estimated time, where y represents actual time and x represents estimated time and m and b are constants. If m = 1.4 and b = -4.5, find y when x is 60 min.

Identify the base. Do not evaluate. - $- 9.7 ^ { 4 }$

Solve the inequality algebraically. Write the solution in interval notation. - $| 4 x + 3 | < 6$

Find a general form equation for the line through the pair of points. -(-4, 3) and (5, 3)

Give the quadrant in which the point is located. - $( - 17,20 )$

Give the coordinates of the points shown on the graph. -

Write the expression in the form bi, where b is a real number. - $\sqrt { - 49 }$

Identify the base. Do not evaluate. - $- ( - 8 ) ^ { 5 }$

Use interval notation to describe the set of numbers. -John is at least 35 years old.

Determine the equation of the line described. Put answer in the slope-intercept form, if possible. -Through $( - 3 , - 14 )$ , parallel to $3 x + 8 y = - 65$

Solve the equation by extracting the square roots. - $( r + 3 ) ^ { 2 } = 15$

Draw a scatter plot of the data given in the table. -The number (y) of web pages created by a large multimedia firm for each year x from 1993 to 1998 is given in the following table. number of web pages

Use interval notation to describe the interval of real numbers. - $x \leq - 5$

Provide an appropriate response. -If the $y$ -intercept of the linear function $y = b + 4 x$ lies below the $x$ -axis, then what can you say about b?

Solve the inequality graphically. - $x^{2}+5 x-14>0$ $Solve the inequality graphically. - x^{2}+5 x-14>0$

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $3500 in 1982 and $74,000 in 1987. Let x = 0 represent 1982. Find the equation giving yearly sales S(x).

Use an inequality to describe the interval of real numbers. - $x$ is less than or equal to $- 2$ .

-What was the percent of increase in sales between month 2 and month 12 of 1990? Round your answer to the nearest tenth.

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Filters

Exam 12: Prerequisites

Solve by completing the square. - 3x2−7x−5=x2+2x−x(x+1)+13 x ^ { 2 } - 7 x - 5 = x ^ { 2 } + 2 x - x ( x + 1 ) + 13x2−7x−5=x2+2x−x(x+1)+1

Solve the problem. -Suppose y = mx + b is a mathematical model for actual time as a function of estimated time, where y represents actual time and x represents estimated time and m and b are constants. If m = 1.4 and b = -4.5, find y when x is 60 min.

Identify the base. Do not evaluate. - −9.74- 9.7 ^ { 4 }−9.74

Solve the inequality algebraically. Write the solution in interval notation. - ∣4x+3∣<6| 4 x + 3 | < 6∣4x+3∣<6

Find a general form equation for the line through the pair of points. -(-4, 3) and (5, 3)

Give the quadrant in which the point is located. - (−17,20)( - 17,20 )(−17,20)

Give the coordinates of the points shown on the graph. -

Write the expression in the form bi, where b is a real number. - −49\sqrt { - 49 }−49​

Identify the base. Do not evaluate. - −(−8)5- ( - 8 ) ^ { 5 }−(−8)5

Use interval notation to describe the set of numbers. -John is at least 35 years old.

Determine the equation of the line described. Put answer in the slope-intercept form, if possible. -Through (−3,−14)( - 3 , - 14 )(−3,−14) , parallel to 3x+8y=−653 x + 8 y = - 653x+8y=−65

Solve the equation by extracting the square roots. - (r+3)2=15( r + 3 ) ^ { 2 } = 15(r+3)2=15

Draw a scatter plot of the data given in the table. -The number (y) of web pages created by a large multimedia firm for each year x from 1993 to 1998 is given in the following table. number of web pages

Use interval notation to describe the interval of real numbers. - x≤−5x \leq - 5x≤−5

Draw a scatter plot of the data given in the table. -The number ( y\mathrm { y }y ) of computers (in thousands) sold in a certain state for each year xxx from 1994 to 1999 is given in the table below.

Provide an appropriate response. -If the yyy -intercept of the linear function y=b+4xy = b + 4 xy=b+4x lies below the xxx -axis, then what can you say about b?

Solve the inequality graphically. - x2+5x−14>0x^{2}+5 x-14>0x2+5x−14>0

Solve the problem. -Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $3500 in 1982 and $74,000 in 1987. Let x = 0 represent 1982. Find the equation giving yearly sales S(x).

Use an inequality to describe the interval of real numbers. - xxx is less than or equal to −2- 2−2 .

-What was the percent of increase in sales between month 2 and month 12 of 1990? Round your answer to the nearest tenth.

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

Filters

Solve by completing the square. - $3 x ^ { 2 } - 7 x - 5 = x ^ { 2 } + 2 x - x ( x + 1 ) + 1$

Identify the base. Do not evaluate. - $- 9.7 ^ { 4 }$

Solve the inequality algebraically. Write the solution in interval notation. - $| 4 x + 3 | < 6$

Give the quadrant in which the point is located. - $( - 17,20 )$

Write the expression in the form bi, where b is a real number. - $\sqrt { - 49 }$

Identify the base. Do not evaluate. - $- ( - 8 ) ^ { 5 }$

Determine the equation of the line described. Put answer in the slope-intercept form, if possible. -Through $( - 3 , - 14 )$ , parallel to $3 x + 8 y = - 65$

Solve the equation by extracting the square roots. - $( r + 3 ) ^ { 2 } = 15$

Use interval notation to describe the interval of real numbers. - $x \leq - 5$

Provide an appropriate response. -If the $y$ -intercept of the linear function $y = b + 4 x$ lies below the $x$ -axis, then what can you say about b?

Solve the inequality graphically. - $x^{2}+5 x-14>0$ $Solve the inequality graphically. - x^{2}+5 x-14>0$

Use an inequality to describe the interval of real numbers. - $x$ is less than or equal to $- 2$ .