Question 1

Solve the equation by extracting the square roots.
-$$2 x ^ { 2 } = 16$$

Accepted Answer

A)  $x = 2 \sqrt { 2 }$ or $x = - 2 \sqrt { 2 }$ 
B)  $x = 2$ 
C)  $x = 2 \sqrt { 2 }$ 
D)  $x = 2$ or $x = - 2$ 
A)  $x = 2 \sqrt { 2 }$ or $x = - 2 \sqrt { 2 }$ 
B)  $x = 2$ 
C)  $x = 2 \sqrt { 2 }$ 
D)  $x = 2$ or $x = - 2$

Question 2

Find the product of the complex number and its conjugate.
--5 + 7i

Accepted Answer

A)  77 
B)  74 
C)  75 
D)  -24 
A)  77 
B)  74 
C)  75 
D)  -24

Question 3

Find a slope-intercept form equation for the line.
-$$4 x - 11 y = 32$$

Accepted Answer

A)  $y = \frac { 4 } { 11 } x + \frac { 32 } { 11 }$ 
B)  $y = \frac { 4 } { 11 } x - \frac { 32 } { 11 }$ 
C)  $y = \frac { 11 } { 4 } x - \frac { 32 } { 11 }$ 
D)  $y = 4 x - \frac { 32 } { 11 }$ 
A)  $y = \frac { 4 } { 11 } x + \frac { 32 } { 11 }$ 
B)  $y = \frac { 4 } { 11 } x - \frac { 32 } { 11 }$ 
C)  $y = \frac { 11 } { 4 } x - \frac { 32 } { 11 }$ 
D)  $y = 4 x - \frac { 32 } { 11 }$

Question 4

Solve the equation graphically by finding x-intercepts.
-$| t - 8 | = 2$

Accepted Answer

A)  $t = 6$ or $t = 10$ 
B)  $t = - 6$ or $t = 10$ 
C)  $t = 6$ or $t = 0$ 
D)  $t = 0$ or $t = 10$ 
A)  $t = 6$ or $t = 10$ 
B)  $t = - 6$ or $t = 10$ 
C)  $t = 6$ or $t = 0$ 
D)  $t = 0$ or $t = 10$

Question 5

Determine whether the equation is linear in x.
-$$9 x ^ { 2 } - 2 x = 9 \left( x ^ { 2 } + 1 \right) - 6 x$$

Accepted Answer

A) True 
 B)False

Question 6

Describe and graph the interval of real numbers.
-$$x \leq 4$$

Accepted Answer

The answer of Describe and graph the interval of real...

Question 7

Find the decimal form for the rational number. If it repeats, then so indicate with a bar.
-$$- \frac { 22 } { 3 }$$

Accepted Answer

A)  $- 7 . \overline { 3 }$ 
B)  $- 7.3 \overline { 3 }$ 
C)  $- 7.33$ 
D)  $- 7.34$ 
A)  $- 7 . \overline { 3 }$ 
B)  $- 7.3 \overline { 3 }$ 
C)  $- 7.33$ 
D)  $- 7.34$

Question 8

Solve the problem.
-A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of $176 \mathrm { ft } / \mathrm { sec }$, and the gorge is $448 \mathrm { ft }$ deep, during what interval can the flare be seen?
$$\left( h = - 16 t ^ { 2 } + v _ { O } t + h _ { O } \right)$$

Accepted Answer

A)  $8 < t < 11$ 
B)  $12 < t < 15$ 
C)  $0 < t < 4$ 
D)  $4 < t < 7$ 
A)  $8 < t < 11$ 
B)  $12 < t < 15$ 
C)  $0 < t < 4$ 
D)  $4 < t < 7$

Question 9

Identify the base. Do not evaluate.
-$10 ^ { 2 }$

Accepted Answer

A)  $- 2$ 
B)  10 
C)  2 
D)  20 
A)  $- 2$ 
B)  10 
C)  2 
D)  20

Question 10

Solve the problem.
-The height of a box is 6 inches. The length is three inches more than the width. Find the width if the volume is 240 cu inches.

Accepted Answer

A)  40 inches 
B)  6 inches 
C)  5 inches 
D)  8 inches 
A)  40 inches 
B)  6 inches 
C)  5 inches 
D)  8 inches

Question 11

Solve the inequality graphically.
-$x^{2}-5 x \leq-4$

Accepted Answer

A)  $( - \infty , - 4 ] \cup [ - 1 , \infty )$ 
B)  $[ 1,4 ]$ 
C)  $[ - 4 , - 1 ]$ 
D)  $( - 4 , - 1 )$ 
A)  $( - \infty , - 4 ] \cup [ - 1 , \infty )$ 
B)  $[ 1,4 ]$ 
C)  $[ - 4 , - 1 ]$ 
D)  $( - 4 , - 1 )$

Question 12

Use words to describe the interval of real numbers.
-

Accepted Answer

A)  The real numbers greater than $- 2$ and less than 1 . 
B)  The real numbers greater than or equal to $- 2$ and less than or equal to 1 . 
C)  The real numbers greater than $- 2$ and less than or equal to 1 . 
D)  The real numbers greater than or equal to $- 2$. 
A)  The real numbers greater than $- 2$ and less than 1 . 
B)  The real numbers greater than or equal to $- 2$ and less than or equal to 1 . 
C)  The real numbers greater than $- 2$ and less than or equal to 1 . 
D)  The real numbers greater than or equal to $- 2$.

Question 13

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph.
-$$y = - 0.5 x + 7$$

Accepted Answer

A)  $x = 10 , y = 10$ 
B)  $x = 10 , y = 3$ 
C)  $x = 3 , y = 3$ 
D)  $x = 3 , y = 10$ 
A)  $x = 10 , y = 10$ 
B)  $x = 10 , y = 3$ 
C)  $x = 3 , y = 3$ 
D)  $x = 3 , y = 10$

Question 14

Write the sum or difference in the standard form a + bi.
-(5 + 7i) - (-3 + i)

Accepted Answer

A)  -8 - 6i 
B)  2 + 8i 
C)  8 + 6i 
D)  8 - 6i 
A)  -8 - 6i 
B)  2 + 8i 
C)  8 + 6i 
D)  8 - 6i

Question 15

Draw a scatter plot of the data given in the table.
-The total in billions of dollars of U.S. exports to a particular country from 1995 to 1999 is given in the following table.

Accepted Answer

A)  billions of dollars
  
B)  billions of dollars
  
C)  billions of dollars
  
D)  billions of dollars
  
A)  billions of dollars
  
B)  billions of dollars
  
C)  billions of dollars
  
D)  billions of dollars

Question 16

Solve the inequality and draw a number line graph of the solution.
-$$3 ( 1 + x ) + 4 ( 1 - x ) < x + 2$$

Accepted Answer

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

Question 17

Evaluate the expression.
-$$| ( - 5 ) ( - 6 ) |$$

Accepted Answer

A)  30 
B)  $- 5$ 
C)  6 
D)  $- 30$ 
A)  30 
B)  $- 5$ 
C)  6 
D)  $- 30$

Question 18

Solve the equation using the quadratic formula.
-$5 x ^ { 2 } + 12 x = - 2$

Accepted Answer

A)  $x = \frac { - 6 + \sqrt { 26 } } { 10 }$ or $x = \frac { - 6 - \sqrt { 26 } } { 10 }$ 
B)  $x = \frac { - 6 + \sqrt { 46 } } { 5 }$ or $x = \frac { - 6 - \sqrt { 46 } } { 5 }$ 
C)  $x = \frac { - 6 + \sqrt { 26 } } { 5 }$ or $x = \frac { - 6 - \sqrt { 26 } } { 5 }$ 
D)  $x = \frac { - 12 + \sqrt { 26 } } { 5 }$ or $x = \frac { - 12 - \sqrt { 26 } } { 5 }$ 
A)  $x = \frac { - 6 + \sqrt { 26 } } { 10 }$ or $x = \frac { - 6 - \sqrt { 26 } } { 10 }$ 
B)  $x = \frac { - 6 + \sqrt { 46 } } { 5 }$ or $x = \frac { - 6 - \sqrt { 46 } } { 5 }$ 
C)  $x = \frac { - 6 + \sqrt { 26 } } { 5 }$ or $x = \frac { - 6 - \sqrt { 26 } } { 5 }$ 
D)  $x = \frac { - 12 + \sqrt { 26 } } { 5 }$ or $x = \frac { - 12 - \sqrt { 26 } } { 5 }$

Question 19

Find the midpoint of the line segment with the given endpoints.
-$( - 9 , - 8 )$ and $( 9,5 )$

Accepted Answer

A)  $( 0 , - 3 )$ 
B)  $\left( 0 , - \frac { 3 } { 2 } \right)$ 
C)  $\left( - 9 , - \frac { 13 } { 2 } \right)$ 
D)  $( - 18 , - 13 )$ 
A)  $( 0 , - 3 )$ 
B)  $\left( 0 , - \frac { 3 } { 2 } \right)$ 
C)  $\left( - 9 , - \frac { 13 } { 2 } \right)$ 
D)  $( - 18 , - 13 )$

Question 20

Solve by completing the square.
-$$x ^ { 2 } = 7 - 8 x$$

Accepted Answer

A)  $- 4 \pm 2 \sqrt { 23 }$ 
B)  $4 + \sqrt { 23 }$ 
C)  $- 4 \pm \sqrt { 23 }$ 
D)  $- 1 \pm \sqrt { 23 }$ 
A)  $- 4 \pm 2 \sqrt { 23 }$ 
B)  $4 + \sqrt { 23 }$ 
C)  $- 4 \pm \sqrt { 23 }$ 
D)  $- 1 \pm \sqrt { 23 }$

Solve the equation by extracting the square roots. - $2 x ^ { 2 } = 16$

Find the product of the complex number and its conjugate. --5 + 7i

Find a slope-intercept form equation for the line. - $4 x - 11 y = 32$

Solve the equation graphically by finding x-intercepts. - $| t - 8 | = 2$

Determine whether the equation is linear in x. - $9 x ^ { 2 } - 2 x = 9 \left( x ^ { 2 } + 1 \right) - 6 x$

Describe and graph the interval of real numbers. - $x \leq 4$ $Describe and graph the interval of real numbers. - x \leq 4$

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - $- \frac { 22 } { 3 }$

Identify the base. Do not evaluate. - $10 ^ { 2 }$

Solve the problem. -The height of a box is 6 inches. The length is three inches more than the width. Find the width if the volume is 240 cu inches.

Solve the inequality graphically. - $x^{2}-5 x \leq-4$ $Solve the inequality graphically. - x^{2}-5 x \leq-4$

Use words to describe the interval of real numbers. -

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph. - $y = - 0.5 x + 7$

Write the sum or difference in the standard form a + bi. -(5 + 7i) - (-3 + i)

Draw a scatter plot of the data given in the table. -The total in billions of dollars of U.S. exports to a particular country from 1995 to 1999 is given in the following table.

Solve the inequality and draw a number line graph of the solution. - $3 ( 1 + x ) + 4 ( 1 - x ) < x + 2$

Evaluate the expression. - $| ( - 5 ) ( - 6 ) |$

Solve the equation using the quadratic formula. - $5 x ^ { 2 } + 12 x = - 2$

Find the midpoint of the line segment with the given endpoints. - $( - 9 , - 8 )$ and $( 9,5 )$

Solve by completing the square. - $x ^ { 2 } = 7 - 8 x$

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 the equation by extracting the square roots. - 2x2=162 x ^ { 2 } = 162x2=16