Question 1

Find the decimal form for the rational number. If it repeats, then so indicate with a bar.
-$\frac { 2 } { 5 }$

Accepted Answer

A)  $0.6$ 
B)  $0 . \overline { 4 }$ 
C)  $1.4$ 
D)  $0.4$ 
A)  $0.6$ 
B)  $0 . \overline { 4 }$ 
C)  $1.4$ 
D)  $0.4$

Question 2

Use interval notation to describe the interval of real numbers.
-

Accepted Answer

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

Question 3

Find the standard form equation for the circle.
-Center $( - 8,7 )$, radius 1

Accepted Answer

A)  $( x - 8 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 1$ 
B)  $( x + 7 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 1$ 
C)  $( x - 7 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 1$ 
D)  $( x + 8 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 1$ 
A)  $( x - 8 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 1$ 
B)  $( x + 7 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 1$ 
C)  $( x - 7 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 1$ 
D)  $( x + 8 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 1$

Question 4

Solve the equation.
-$$\frac { 4 x + 1 } { 2 } + \frac { 2 x - 7 } { 4 } = - \frac { 5 } { 3 }$$

Accepted Answer

A)  $x = \frac { 5 } { 12 }$ 
B)  $x = - \frac { 47 } { 30 }$ 
C)  $x = - \frac { 1 } { 6 }$ 
D)  $x = - \frac { 7 } { 6 }$ 
A)  $x = \frac { 5 } { 12 }$ 
B)  $x = - \frac { 47 } { 30 }$ 
C)  $x = - \frac { 1 } { 6 }$ 
D)  $x = - \frac { 7 } { 6 }$

Question 5

Solve the problem.
-The length of a rectangle is three inches more than the width. The area of the rectangle is 418 inches. Find the width of the rectangle.

Accepted Answer

A)  19 inches 
B)  11 inches 
C)  10 inches 
D)  22 inches 
A)  19 inches 
B)  11 inches 
C)  10 inches 
D)  22 inches

Question 6

Write the number in decimal form.
-$2.973 \times 10 ^ { - 6 }$

Accepted Answer

A)  $- 2,973,000$ 
B)  $0.00002973$ 
C)  $0.0000002973$ 
D)  $0.000002973$ 
A)  $- 2,973,000$ 
B)  $0.00002973$ 
C)  $0.0000002973$ 
D)  $0.000002973$

Question 7

Find the slope of the line through the pair of points.
-$( - 14 , - 17 )$ and $( 14 , - 12 )$

Accepted Answer

A)  $\frac { 29 } { 0 }$ 
B)  $\frac { 5 } { 28 }$ 
C)  $- \frac { 5 } { 28 }$ 
D)  $\frac { 28 } { 5 }$ 
A)  $\frac { 29 } { 0 }$ 
B)  $\frac { 5 } { 28 }$ 
C)  $- \frac { 5 } { 28 }$ 
D)  $\frac { 28 } { 5 }$

Question 8

Find the center and radius of the circle.
-$$( x - 4 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 9$$

Accepted Answer

A)  $( - 4,2 ) , r = 9$ 
B)  $( 2 , - 4 ) , r = 9$ 
C)  $( - 2,4 ) , \mathrm { r } = 3$ 
D)  $( 4 , - 2 ) , r = 3$ 
A)  $( - 4,2 ) , r = 9$ 
B)  $( 2 , - 4 ) , r = 9$ 
C)  $( - 2,4 ) , \mathrm { r } = 3$ 
D)  $( 4 , - 2 ) , r = 3$

Question 9

Write the expression in standard form.
-$$\frac { 1 + 3 i } { 5 + 4 i }$$

Accepted Answer

A)  $\frac { 17 } { 9 } - \frac { 11 } { 9 } \mathrm { i }$ 
B)  $\frac { 17 } { 41 } + \frac { 11 } { 41 } \mathrm { i }$ 
C)  $- \frac { 7 } { 41 } - \frac { 19 } { 41 } i$ 
D)  $- \frac { 7 } { 9 } - \frac { 11 } { 9 } \mathrm { i }$ 
A)  $\frac { 17 } { 9 } - \frac { 11 } { 9 } \mathrm { i }$ 
B)  $\frac { 17 } { 41 } + \frac { 11 } { 41 } \mathrm { i }$ 
C)  $- \frac { 7 } { 41 } - \frac { 19 } { 41 } i$ 
D)  $- \frac { 7 } { 9 } - \frac { 11 } { 9 } \mathrm { i }$

Question 10

Solve the equation using the quadratic formula.
-$$3 x ^ { 2 } + 2 x - 1 = 0$$

Accepted Answer

A)  $x = - 1$ or $x = - \frac { 1 } { 3 }$ 
B)  $x = 1$ or $x = - \frac { 1 } { 3 }$ 
C)  $x = 1$ or $x = \frac { 1 } { 3 }$ 
D)  $x = - 1$ or $x = \frac { 1 } { 3 }$ 
A)  $x = - 1$ or $x = - \frac { 1 } { 3 }$ 
B)  $x = 1$ or $x = - \frac { 1 } { 3 }$ 
C)  $x = 1$ or $x = \frac { 1 } { 3 }$ 
D)  $x = - 1$ or $x = \frac { 1 } { 3 }$

Question 11

Identify the base. Do not evaluate.
-$13 ^ { 15 }$

Accepted Answer

A)  28 
B)  15 
C)  $- 15$ 
D)  13 
A)  28 
B)  15 
C)  $- 15$ 
D)  13

Question 12

Find a general form equation for the line through the pair of points.
-(-1, 4) and (7, 2)

Accepted Answer

A)  -2x - 8y - 30 = 0 
B)  2x - 8y - 30 = 0 
C)  2x + 8y + 30 = 0 
D)  2x + 8y - 30 = 0 
A)  -2x - 8y - 30 = 0 
B)  2x - 8y - 30 = 0 
C)  2x + 8y + 30 = 0 
D)  2x + 8y - 30 = 0

Question 13

Use a method of your choice to solve the equation.
-$$\frac { x - 4 } { x + 5 } = 5$$

Accepted Answer

A)  $x = - \frac { 21 } { 4 }$ 
B)  $x = - \frac { 25 } { 4 }$ 
C)  $x = \frac { 21 } { 4 }$ 
D)  $x = - \frac { 29 } { 4 }$ 
A)  $x = - \frac { 21 } { 4 }$ 
B)  $x = - \frac { 25 } { 4 }$ 
C)  $x = \frac { 21 } { 4 }$ 
D)  $x = - \frac { 29 } { 4 }$

Question 14

Solve the problem.
-A projectile is thrown upward so that its distance above the ground after $t$ seconds is $h = - 15 t ^ { 2 } + 570 t$. After how many seconds does it reach its maximum height?

Accepted Answer

A)  $9 \mathrm {~s}$ 
B)  $19 \mathrm {~s}$ 
C)  $38 \mathrm {~s}$ 
D)  $28.5 \mathrm {~s}$ 
A)  $9 \mathrm {~s}$ 
B)  $19 \mathrm {~s}$ 
C)  $38 \mathrm {~s}$ 
D)  $28.5 \mathrm {~s}$

Question 15

Identify the base. Do not evaluate.
-$11^{12}$

Accepted Answer

A)  11 
B)  23 
C)  12 
D)  $- 11$ 
A)  11 
B)  23 
C)  12 
D)  $- 11$

Question 16

Write the product in standard form.
-$$( \sqrt { - 9 } + 3 \mathrm { i } ) ( 4 - 2 \mathrm { i } )$$

Accepted Answer

A)  $- 12 + 24 i$ 
B)  $- 6 + 18 i$ 
C)  $12 + 24 i$ 
D)  $- 18 + 18 i$ 
A)  $- 12 + 24 i$ 
B)  $- 6 + 18 i$ 
C)  $12 + 24 i$ 
D)  $- 18 + 18 i$

Question 17

Provide an appropriate response.
-Write the general equation of any line that passes through the origin.

Accepted Answer

A)  $x = 0$ 
B)  $y = 0$ 
C)  $y = m x$ 
D)  $y = m x + b$ 
A)  $x = 0$ 
B)  $y = 0$ 
C)  $y = m x$ 
D)  $y = m x + b$

Question 18

Solve the inequality. Use algebra to solve the corresponding equation.
-$$x ^ { 2 } - 6 x - 7 < 0$$

Accepted Answer

A)  $( - \infty , - 1 )$ 
B)  $( 7 , \infty )$ 
C)  $( - 1,7 )$ 
D)  $( - \infty , - 1 ) \cup ( 7 , \infty )$ 
A)  $( - \infty , - 1 )$ 
B)  $( 7 , \infty )$ 
C)  $( - 1,7 )$ 
D)  $( - \infty , - 1 ) \cup ( 7 , \infty )$

Question 19

Solve the equation by factoring.
-$$x ( 2 x - 14 ) = - 12$$

Accepted Answer

A)  $x = - 6$ or $x = 6$ 
B)  $x = - 1$ or $x = 6$ 
C)  $x = 6$ or $x = 1$ 
D)  $x = - 1$ or $x = - 6$ 
A)  $x = - 6$ or $x = 6$ 
B)  $x = - 1$ or $x = 6$ 
C)  $x = 6$ or $x = 1$ 
D)  $x = - 1$ or $x = - 6$

Question 20

Write the expression in standard form.
-$$\frac { 8 + 4 i } { 4 - 3 i }$$

Accepted Answer

A)  $\frac { 44 } { 7 } - \frac { 8 } { 7 } i$ 
B)  $\frac { 44 } { 5 } + \frac { 8 } { 5 } i$ 
C)  $\frac { 4 } { 5 } + \frac { 8 } { 5 } i$ 
D)  $\frac { 4 } { 7 } - \frac { 8 } { 7 } i$ 
A)  $\frac { 44 } { 7 } - \frac { 8 } { 7 } i$ 
B)  $\frac { 44 } { 5 } + \frac { 8 } { 5 } i$ 
C)  $\frac { 4 } { 5 } + \frac { 8 } { 5 } i$ 
D)  $\frac { 4 } { 7 } - \frac { 8 } { 7 } i$

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - $\frac { 2 } { 5 }$

Use interval notation to describe the interval of real numbers. -

Find the standard form equation for the circle. -Center $( - 8,7 )$ , radius 1

Solve the equation. - $\frac { 4 x + 1 } { 2 } + \frac { 2 x - 7 } { 4 } = - \frac { 5 } { 3 }$

Solve the problem. -The length of a rectangle is three inches more than the width. The area of the rectangle is 418 inches. Find the width of the rectangle.

Write the number in decimal form. - $2.973 \times 10 ^ { - 6 }$

Find the slope of the line through the pair of points. - $( - 14 , - 17 )$ and $( 14 , - 12 )$

Find the center and radius of the circle. - $( x - 4 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 9$

Write the expression in standard form. - $\frac { 1 + 3 i } { 5 + 4 i }$

Solve the equation using the quadratic formula. - $3 x ^ { 2 } + 2 x - 1 = 0$

Identify the base. Do not evaluate. - $13 ^ { 15 }$

Find a general form equation for the line through the pair of points. -(-1, 4) and (7, 2)

Use a method of your choice to solve the equation. - $\frac { x - 4 } { x + 5 } = 5$

Solve the problem. -A projectile is thrown upward so that its distance above the ground after $t$ seconds is $h = - 15 t ^ { 2 } + 570 t$ . After how many seconds does it reach its maximum height?

Identify the base. Do not evaluate. - $11^{12}$

Write the product in standard form. - $( \sqrt { - 9 } + 3 \mathrm { i } ) ( 4 - 2 \mathrm { i } )$

Provide an appropriate response. -Write the general equation of any line that passes through the origin.

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } - 6 x - 7 < 0$

Solve the equation by factoring. - $x ( 2 x - 14 ) = - 12$

Write the expression in standard form. - $\frac { 8 + 4 i } { 4 - 3 i }$

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

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - 25\frac { 2 } { 5 }52​

Use interval notation to describe the interval of real numbers. -

Find the standard form equation for the circle. -Center (−8,7)( - 8,7 )(−8,7) , radius 1

Solve the equation. - 4x+12+2x−74=−53\frac { 4 x + 1 } { 2 } + \frac { 2 x - 7 } { 4 } = - \frac { 5 } { 3 }24x+1​+42x−7​=−35​