Question 1

Simplify the expression. Assume that the variables in the denominator are nonzero.
-$\left( \frac { 3 } { x y ^ { 2 } } \right) ^ { - 2 }$

Accepted Answer

A)  $\frac { x ^ { 2 } y ^ { 2 } } { 9 }$ 
B)  $\frac { 9 } { x ^ { 2 } y ^ { 4 } }$ 
C)  $\frac { x ^ { 2 } y ^ { 4 } } { 3 }$ 
D)  $\frac { x ^ { 2 } y ^ { 4 } } { 9 }$ 
A)  $\frac { x ^ { 2 } y ^ { 2 } } { 9 }$ 
B)  $\frac { 9 } { x ^ { 2 } y ^ { 4 } }$ 
C)  $\frac { x ^ { 2 } y ^ { 4 } } { 3 }$ 
D)  $\frac { x ^ { 2 } y ^ { 4 } } { 9 }$

Question 2

Solve by completing the square.
-$$x ^ { 2 } - 2 x - 48 = 0$$

Accepted Answer

A)  $8 , - 6$ 
B)  $- 42 , - 6$ 
C)  $- 8,6$ 
D)  $\sqrt { - 48 } , - \sqrt { - 48 }$ 
A)  $8 , - 6$ 
B)  $- 42 , - 6$ 
C)  $- 8,6$ 
D)  $\sqrt { - 48 } , - \sqrt { - 48 }$

Question 3

Find a general form equation for the line through the pair of points.
-(-3, -4) and (-3, 2)

Accepted Answer

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

Question 4

Solve by completing the square.
-$$x ^ { 2 } + 4 x - 3 = 0$$

Accepted Answer

A)  $\frac { - 4 \pm 2 \sqrt { 7 } } { 2 }$ 
B)  $\frac { - 4 - 2 \sqrt { 7 } } { 2 }$ 
C)  $\frac { 4 + 2 \sqrt { 7 } } { 2 }$ 
D)  $- 4 \pm 2 \sqrt { 7 }$ 
A)  $\frac { - 4 \pm 2 \sqrt { 7 } } { 2 }$ 
B)  $\frac { - 4 - 2 \sqrt { 7 } } { 2 }$ 
C)  $\frac { 4 + 2 \sqrt { 7 } } { 2 }$ 
D)  $- 4 \pm 2 \sqrt { 7 }$

Question 5

Solve the problem.
-If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 78.4 \mathrm { t }$. During what interval of time will the rocket be higher than $147 \mathrm {~m}$ ?

Accepted Answer

A)  $6 < t < 8$ 
B)  $5 < t < 6$ 
C)  $0 < t < 3$ 
D)  $3 < t < 5$ 
A)  $6 < t < 8$ 
B)  $5 < t < 6$ 
C)  $0 < t < 3$ 
D)  $3 < t < 5$

Question 6

Use a method of your choice to solve the equation.
-$$x ^ { 2 } + 5 x - 14 = 0$$

Accepted Answer

A)  $x = - 2$ or $x = 7$ 
B)  $x = - 2$ or $x = - 7$ 
C)  $x = 2$ or $x = 7$ 
D)  $x = 2$ or $x = - 7$ 
A)  $x = - 2$ or $x = 7$ 
B)  $x = - 2$ or $x = - 7$ 
C)  $x = 2$ or $x = 7$ 
D)  $x = 2$ or $x = - 7$

Question 7

Solve the inequality graphically.
-$x^{2}-3 x-10<0$

Accepted Answer

A)  $( - \infty , - 2 ) \cup ( 5 , \infty )$ 
B)  $( 5 , \infty )$ 
C)  $( - \infty , - 2 )$ 
D)  $( - 2,5 )$ 
A)  $( - \infty , - 2 ) \cup ( 5 , \infty )$ 
B)  $( 5 , \infty )$ 
C)  $( - \infty , - 2 )$ 
D)  $( - 2,5 )$

Question 8

Solve the problem.
-Employees of a publishing company received an increase in salary of 8% plus a bonus of $800. Find the total annual pay after the increase for an initial salary of $800.

Accepted Answer

A)  $13,760 
B)  $12,800 
C)  $10,370 
D)  $22,400 
A)  $13,760 
B)  $12,800 
C)  $10,370 
D)  $22,400

Question 9

Solve the equation using the quadratic formula.
-$$x ^ { 2 } - 6 x + 3 = 0$$

Accepted Answer

A)  $x = - 3 - \sqrt { 6 }$ or $x = - 3 + \sqrt { 6 }$ 
B)  $x = 3 - \sqrt { 12 }$ or $x = 3 + \sqrt { 12 }$ 
C)  $x = 3 - \sqrt { 6 }$ or $x = 3 + \sqrt { 6 }$ 
D)  $x = 3$ 
A)  $x = - 3 - \sqrt { 6 }$ or $x = - 3 + \sqrt { 6 }$ 
B)  $x = 3 - \sqrt { 12 }$ or $x = 3 + \sqrt { 12 }$ 
C)  $x = 3 - \sqrt { 6 }$ or $x = 3 + \sqrt { 6 }$ 
D)  $x = 3$

Question 10

Solve the equation by factoring.
-$$x ^ { 2 } - 9 x = - 18$$

Accepted Answer

A)  $x = - 3$ or $x = - 6$ 
B)  $x = - 3$ or $x = 6$ 
C)  $x = - 6$ or $x = 6$ 
D)  $x = 6$ or $x = 3$ 
A)  $x = - 3$ or $x = - 6$ 
B)  $x = - 3$ or $x = 6$ 
C)  $x = - 6$ or $x = 6$ 
D)  $x = 6$ or $x = 3$

Question 11

Write the sum or difference in the standard form a + bi.
-$$\left( i ^ { 2 } + 6 \right) - \left( 4 + i ^ { 3 } \right)$$

Accepted Answer

A)  $1 - \mathrm { i }$ 
B)  $9 - i$ 
C)  $1 + i$ 
D)  $9 + i$ 
A)  $1 - \mathrm { i }$ 
B)  $9 - i$ 
C)  $1 + i$ 
D)  $9 + i$

Question 12

Describe and graph the interval of real numbers.
-$$[ - 2,3 )$$

Accepted Answer

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

Question 13

Write the product in standard form.
-$$( 5 + 9 i ) ( 5 - 4 i )$$

Accepted Answer

A)  $- 11 + 65 i$ 
B)  $- 36 i ^ { 2 } + 25 i + 25$ 
C)  $61 + 25 \mathrm { i }$ 
D)  $61 - 25 \mathrm { i }$ 
A)  $- 11 + 65 i$ 
B)  $- 36 i ^ { 2 } + 25 i + 25$ 
C)  $61 + 25 \mathrm { i }$ 
D)  $61 - 25 \mathrm { i }$

Question 14

Find the product of the complex number and its conjugate.
-$- 7 - \sqrt { 5 } i$

Accepted Answer

A)  24 
B)  44 
C)  74 
D)  54 
A)  24 
B)  44 
C)  74 
D)  54

Question 15

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph.
-$$2 x + 3 y = 5$$

Accepted Answer

A)  $x = - \frac { 1 } { 3 } , y = - \frac { 11 } { 2 }$ 
B)  $x = - \frac { 11 } { 2 } , y = - \frac { 11 } { 3 }$ 
C)  $x = - \frac { 1 } { 2 } , y = - \frac { 11 } { 3 }$ 
D)  $x = - \frac { 1 } { 2 } , y = - 7$ 
A)  $x = - \frac { 1 } { 3 } , y = - \frac { 11 } { 2 }$ 
B)  $x = - \frac { 11 } { 2 } , y = - \frac { 11 } { 3 }$ 
C)  $x = - \frac { 1 } { 2 } , y = - \frac { 11 } { 3 }$ 
D)  $x = - \frac { 1 } { 2 } , y = - 7$

Question 16

Write the product in standard form.
-$$( 2 + 3 i ) ( 4 + 2 i )$$

Accepted Answer

A)  $14 + 8 \mathrm { i }$ 
B)  $2 + 16 i$ 
C)  $6 i ^ { 2 } + 16 i + 8$ 
D)  $2 - 16 i$ 
A)  $14 + 8 \mathrm { i }$ 
B)  $2 + 16 i$ 
C)  $6 i ^ { 2 } + 16 i + 8$ 
D)  $2 - 16 i$

Question 17

Write the expression in standard form.
-$$\frac { ( 1 + i ) ( 3 - i ) } { 2 + 3 i }$$

Accepted Answer

A)  $\frac { 2 } { 13 } - \frac { 8 } { 13 } i$ 
B)  $- \frac { 2 } { 5 } + \frac { 8 } { 5 } i$ 
C)  $\frac { 14 } { 13 } - \frac { 8 } { 13 } \mathrm { i }$ 
D)  $\frac { 14 } { 13 } + \frac { 8 } { 13 } \mathrm { i }$ 
A)  $\frac { 2 } { 13 } - \frac { 8 } { 13 } i$ 
B)  $- \frac { 2 } { 5 } + \frac { 8 } { 5 } i$ 
C)  $\frac { 14 } { 13 } - \frac { 8 } { 13 } \mathrm { i }$ 
D)  $\frac { 14 } { 13 } + \frac { 8 } { 13 } \mathrm { i }$

Question 18

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

Accepted Answer

A)  $C ( - 2,6 ) , \mathrm { D } ( 7 , - 5 )$ 
B)  $\mathrm { C } ( 6,12 ) , \mathrm { D } ( - 5,7 )$ 
C)  $\mathrm { C } ( - 2,6 ) , \mathrm { D } ( - 5,7 )$ 
D)  $\mathrm { C } ( - 2 , - 5 ) , \mathrm { D } ( 6 , - 5 )$ 
A)  $C ( - 2,6 ) , \mathrm { D } ( 7 , - 5 )$ 
B)  $\mathrm { C } ( 6,12 ) , \mathrm { D } ( - 5,7 )$ 
C)  $\mathrm { C } ( - 2,6 ) , \mathrm { D } ( - 5,7 )$ 
D)  $\mathrm { C } ( - 2 , - 5 ) , \mathrm { D } ( 6 , - 5 )$

Question 19

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

Accepted Answer

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

Question 20

Find which values of x are solutions.
-$$( x - 4 ) ^ { 1 / 3 } = 3$$
a. $x = 31$
b. $x = 7$
c. $x = 1$

Accepted Answer

A)  (a), (b), and (c) 
B)  (a) 
C)  (a) and (b) 
D)  (a) and (c) 
A)  (a), (b), and (c) 
B)  (a) 
C)  (a) and (b) 
D)  (a) and (c)

Simplify the expression. Assume that the variables in the denominator are nonzero. - $\left( \frac { 3 } { x y ^ { 2 } } \right) ^ { - 2 }$

Solve by completing the square. - $x ^ { 2 } - 2 x - 48 = 0$

Find a general form equation for the line through the pair of points. -(-3, -4) and (-3, 2)

Solve by completing the square. - $x ^ { 2 } + 4 x - 3 = 0$

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after $t$ seconds is given by $h = - 9.8 \mathrm { t } ^ { 2 } + 78.4 \mathrm { t }$ . During what interval of time will the rocket be higher than $147 \mathrm {~m}$ ?

Use a method of your choice to solve the equation. - $x ^ { 2 } + 5 x - 14 = 0$

Solve the inequality graphically. - $x^{2}-3 x-10<0$ $Solve the inequality graphically. - x^{2}-3 x-10<0$

Solve the problem. -Employees of a publishing company received an increase in salary of 8% plus a bonus of $800. Find the total annual pay after the increase for an initial salary of $800.

Solve the equation using the quadratic formula. - $x ^ { 2 } - 6 x + 3 = 0$

Solve the equation by factoring. - $x ^ { 2 } - 9 x = - 18$

Write the sum or difference in the standard form a + bi. - $\left( i ^ { 2 } + 6 \right) - \left( 4 + i ^ { 3 } \right)$

Describe and graph the interval of real numbers. - $[ - 2,3 )$

Write the product in standard form. - $( 5 + 9 i ) ( 5 - 4 i )$

Find the product of the complex number and its conjugate. - $- 7 - \sqrt { 5 } i$

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph. - $2 x + 3 y = 5$

Write the product in standard form. - $( 2 + 3 i ) ( 4 + 2 i )$

Write the expression in standard form. - $\frac { ( 1 + i ) ( 3 - i ) } { 2 + 3 i }$

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

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

Find which values of x are solutions. - $( x - 4 ) ^ { 1 / 3 } = 3$ a. $x = 31$ b. $x = 7$ c. $x = 1$

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

Simplify the expression. Assume that the variables in the denominator are nonzero. - (3xy2)−2\left( \frac { 3 } { x y ^ { 2 } } \right) ^ { - 2 }(xy23​)−2

Solve by completing the square. - x2−2x−48=0x ^ { 2 } - 2 x - 48 = 0x2−2x−48=0

Find a general form equation for the line through the pair of points. -(-3, -4) and (-3, 2)

Solve by completing the square. - x2+4x−3=0x ^ { 2 } + 4 x - 3 = 0x2+4x−3=0

Solve the problem. -If a rocket is propelled upward from ground level, its height in meters after ttt seconds is given by h=−9.8t2+78.4th = - 9.8 \mathrm { t } ^ { 2 } + 78.4 \mathrm { t }h=−9.8t2+78.4t . During what interval of time will the rocket be higher than 147 m147 \mathrm {~m}147 m ?

Use a method of your choice to solve the equation. - x2+5x−14=0x ^ { 2 } + 5 x - 14 = 0x2+5x−14=0

Solve the inequality graphically. - x2−3x−10<0x^{2}-3 x-10<0x2−3x−10<0