Question 1

Solve the inequality and draw a number line graph of the solution.
-$$1 \leq x + 6 < 13$$

Accepted Answer

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

Question 2

Determine whether the equation is linear in x.
-$$34 + 132 x = 110 x$$

Accepted Answer

A) True 
 B)False

Question 3

Solve the problem.
-The length of a rectangle is 4 inches more than its width. If 2 inches are taken from the length and added to the width, the figure becomes a square with an area of 234.09 sq inches. What are the dimensions of the original
Figure?

Accepted Answer

A)  13.3 inches by 17.3 inches 
B)  14 inches by 18 inches 
C)  11.3 inches by 15.3 inches 
D)  15 inches by 19 inches 
A)  13.3 inches by 17.3 inches 
B)  14 inches by 18 inches 
C)  11.3 inches by 15.3 inches 
D)  15 inches by 19 inches

Question 4

Find the slope of the line through the pair of points.
-$( 7,9 )$ and $( 7,1 )$

Accepted Answer

A)  Undefined 
B)  $\frac { 5 } { 7 }$ 
C)  0 
D)  $\frac { 4 } { 7 }$ 
A)  Undefined 
B)  $\frac { 5 } { 7 }$ 
C)  0 
D)  $\frac { 4 } { 7 }$

Question 5

Write the statement using absolute value notation.
-$z$ is less than d units from $y$.

Accepted Answer

A)  $| z - y | \leq d$ 
B)  $| \mathrm { z } - \mathrm { d } | < \mathrm { y }$ 
C)  $| z - y | < d$ 
D)  $| z - y | < 2$ 
A)  $| z - y | \leq d$ 
B)  $| \mathrm { z } - \mathrm { d } | < \mathrm { y }$ 
C)  $| z - y | < d$ 
D)  $| z - y | < 2$

Question 6

Write the expression in standard form.
-$$\frac { 8 - 9 i } { 5 - 3 i }$$

Accepted Answer

A)  $\frac { 67 } { 34 } - \frac { 21 } { 34 } 1$ 
B)  $\frac { 13 } { 34 } + \frac { 69 } { 34 }$ i 
C)  $\frac { 67 } { 16 } + \frac { 21 } { 16 } \mathrm { i }$ 
D)  $\frac { 13 } { 16 } + \frac { 21 } { 16 } \mathrm { i }$ 
A)  $\frac { 67 } { 34 } - \frac { 21 } { 34 } 1$ 
B)  $\frac { 13 } { 34 } + \frac { 69 } { 34 }$ i 
C)  $\frac { 67 } { 16 } + \frac { 21 } { 16 } \mathrm { i }$ 
D)  $\frac { 13 } { 16 } + \frac { 21 } { 16 } \mathrm { i }$

Question 7

Solve the problem.
-A projectile is thrown upward so that its distance above the ground after t seconds is h = -11t2 + 286t. After how many seconds does it reach its maximum height?

Accepted Answer

A)  19.5 s 
B)  13 s 
C)  26 s 
D)  6 s 
A)  19.5 s 
B)  13 s 
C)  26 s 
D)  6 s

Question 8

Write the product in standard form.
-(6 + 8i)(7 + 9i)

Accepted Answer

A)  -30 + 110i 
B)  72i2 + 110i + 42 
C)  114 + 2i 
D)  -30 - 110i 
A)  -30 + 110i 
B)  72i2 + 110i + 42 
C)  114 + 2i 
D)  -30 - 110i

Question 9

Find the decimal form for the rational number. If it repeats, then so indicate with a bar.
-$\frac { 17 } { 2 }$

Accepted Answer

A)  $8 . \overline { 5 }$ 
B)  $8.5$ 
C)  $8.6$ 
D)  $8.5 \overline { 5 }$ 
A)  $8 . \overline { 5 }$ 
B)  $8.5$ 
C)  $8.6$ 
D)  $8.5 \overline { 5 }$

Question 10

Solve the problem.
-A rectangular enclosure must have an area of at least $3200 \mathrm { yd } 2$. If $240 \mathrm { yd }$ of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

Accepted Answer

A)  $0 \leq w \leq 40$ 
B)  $40 \leq w \leq 80$ 
C)  $60 \leq w \leq 80$ 
D)  $40 \leq w \leq 60$ 
A)  $0 \leq w \leq 40$ 
B)  $40 \leq w \leq 80$ 
C)  $60 \leq w \leq 80$ 
D)  $40 \leq w \leq 60$

Question 11

Use interval notation to describe the interval of real numbers.
-$x$ is greater than $- 4$ and less than 0 .

Accepted Answer

A)  $[ - 4,0 ]$ 
B)  $[ - 4,0 )$ 
C)  $( - 4,0 )$ 
D)  $( - 4,0 ]$ 
A)  $[ - 4,0 ]$ 
B)  $[ - 4,0 )$ 
C)  $( - 4,0 )$ 
D)  $( - 4,0 ]$

Question 12

Find the real numbers x and y that make the equation true.
-$$( x + 6 i ) = ( 7 - i ) + ( 3 - 4 y i )$$

Accepted Answer

A)  $x = 10 , y = 7$ 
B)  $x = 4 , y = - \frac { 7 } { 4 }$ 
C)  $x = 10 , y = - \frac { 7 } { 4 }$ 
D)  $x = 10 , y = \frac { 7 } { 4 }$ 
A)  $x = 10 , y = 7$ 
B)  $x = 4 , y = - \frac { 7 } { 4 }$ 
C)  $x = 10 , y = - \frac { 7 } { 4 }$ 
D)  $x = 10 , y = \frac { 7 } { 4 }$

Question 13

Solve the inequality. Use algebra to solve the corresponding equation.
-$x ^ { 2 } - 4 x \leq - 3$

Accepted Answer

A)  $( - \infty , - 3 ] \cup [ - 1 , \infty )$ 
B)  $[ 1,3 ]$ 
C)  $( - 3 , - 1 )$ 
D)  $[ - 3 , - 1 ]$ 
A)  $( - \infty , - 3 ] \cup [ - 1 , \infty )$ 
B)  $[ 1,3 ]$ 
C)  $( - 3 , - 1 )$ 
D)  $[ - 3 , - 1 ]$

Question 14

Write the sum or difference in the standard form a + bi.
-6i + (-8 - i)

Accepted Answer

A)  8 - 5i 
B)  8 - 7i 
C)  -8 + 7i 
D)  -8 + 5i 
A)  8 - 5i 
B)  8 - 7i 
C)  -8 + 7i 
D)  -8 + 5i

Question 15

Write the expression in standard form.
-$\frac { i } { 5 + i }$

Accepted Answer

A)  $\frac { 1 } { 26 } + \frac { 5 } { 26 } \mathrm { i }$ 
B)  $\frac { 1 } { 26 } - \frac { 5 } { 26 } \mathrm { i }$ 
C)  $\frac { 1 } { 26 }$ 
D)  $\frac { 5 } { 26 } \mathrm { i }$ 
A)  $\frac { 1 } { 26 } + \frac { 5 } { 26 } \mathrm { i }$ 
B)  $\frac { 1 } { 26 } - \frac { 5 } { 26 } \mathrm { i }$ 
C)  $\frac { 1 } { 26 }$ 
D)  $\frac { 5 } { 26 } \mathrm { i }$

Question 16

Find the product of the complex number and its conjugate.
-$1 + 5 i$

Accepted Answer

A)  $1 + 25 i$ 
B)  $- 24$ 
C)  26 
D)  $1 - 25 \mathrm { i }$ 
A)  $1 + 25 i$ 
B)  $- 24$ 
C)  26 
D)  $1 - 25 \mathrm { i }$

Question 17

Write the sum or difference in the standard form a + bi.
-(6 + 6i) - (-2 + i)

Accepted Answer

A)  -8 - 5i 
B)  8 - 5i 
C)  8 + 5i 
D)  4 + 7i 
A)  -8 - 5i 
B)  8 - 5i 
C)  8 + 5i 
D)  4 + 7i

Question 18

Write the number in scientific notation.
-$0.0000060811$

Accepted Answer

A)  $6.0811 \times 10 ^ { 6 }$ 
B)  $6.0811 \times 10 ^ { - 5 }$ 
C)  $6.0811 \times 10 ^ { - 6 }$ 
D)  $6.0811 \times 10 ^ { - 7 }$ 
A)  $6.0811 \times 10 ^ { 6 }$ 
B)  $6.0811 \times 10 ^ { - 5 }$ 
C)  $6.0811 \times 10 ^ { - 6 }$ 
D)  $6.0811 \times 10 ^ { - 7 }$

Question 19

Write the product in standard form.
-$( \sqrt { 6 } - 3 i ) ( \sqrt { 6 } + 3 i )$

Accepted Answer

A)  $6 + 9 i$ 
B)  $6 - 9 i$ 
C)  9 
D)  15 
A)  $6 + 9 i$ 
B)  $6 - 9 i$ 
C)  9 
D)  15

Question 20

Write the number in decimal form.
-$3.0145 \times 10 ^ { - 7 }$

Accepted Answer

A)  $0.00000030145$ 
B)  $0.000000030145$ 
C)  $- 30,000$ 
D)  $0.0000030145$ 
A)  $0.00000030145$ 
B)  $0.000000030145$ 
C)  $- 30,000$ 
D)  $0.0000030145$

Solve the inequality and draw a number line graph of the solution. - $1 \leq x + 6 < 13$ $Solve the inequality and draw a number line graph of the solution. - 1 \leq x + 6 < 13$

Determine whether the equation is linear in x. - $34 + 132 x = 110 x$

Solve the problem. -The length of a rectangle is 4 inches more than its width. If 2 inches are taken from the length and added to the width, the figure becomes a square with an area of 234.09 sq inches. What are the dimensions of the original Figure?

Find the slope of the line through the pair of points. - $( 7,9 )$ and $( 7,1 )$

Write the statement using absolute value notation. - $z$ is less than d units from $y$ .

Write the expression in standard form. - $\frac { 8 - 9 i } { 5 - 3 i }$

Solve the problem. -A projectile is thrown upward so that its distance above the ground after t seconds is h = -11t2 + 286t. After how many seconds does it reach its maximum height?

Write the product in standard form. -(6 + 8i)(7 + 9i)

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - $\frac { 17 } { 2 }$

Solve the problem. -A rectangular enclosure must have an area of at least $3200 \mathrm { yd } 2$ . If $240 \mathrm { yd }$ of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?

Use interval notation to describe the interval of real numbers. - $x$ is greater than $- 4$ and less than 0 .

Find the real numbers x and y that make the equation true. - $( x + 6 i ) = ( 7 - i ) + ( 3 - 4 y i )$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } - 4 x \leq - 3$

Write the sum or difference in the standard form a + bi. -6i + (-8 - i)

Write the expression in standard form. - $\frac { i } { 5 + i }$

Find the product of the complex number and its conjugate. - $1 + 5 i$

Write the sum or difference in the standard form a + bi. -(6 + 6i) - (-2 + i)

Write the number in scientific notation. - $0.0000060811$

Write the product in standard form. - $( \sqrt { 6 } - 3 i ) ( \sqrt { 6 } + 3 i )$

Write the number in decimal form. - $3.0145 \times 10 ^ { - 7 }$

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 inequality and draw a number line graph of the solution. - 1≤x+6<131 \leq x + 6 < 131≤x+6<13

Determine whether the equation is linear in x. - 34+132x=110x34 + 132 x = 110 x34+132x=110x