Question 1

Write the statement as an absolute value inequality.
-$p$ is 5 units from 8

Accepted Answer

A)  $| p - 5 | = 8$ 
B)  $| p - 8 | = 5$ 
C)  $| p - 8 | < 5$ 
D)  $| p | = 3$ 
A)  $| p - 5 | = 8$ 
B)  $| p - 8 | = 5$ 
C)  $| p - 8 | < 5$ 
D)  $| p | = 3$

Question 2

Find the sum or difference. Write the answer in standard form.
-$$( 5 + 4 i ) - ( - 4 + i )$$

Accepted Answer

A)  $- 9 - 3 i$ 
B)  $9 - 3 \mathrm { i }$ 
C)  $9 + 3 \mathrm { i }$ 
D)  $1 + 5 i$ 
A)  $- 9 - 3 i$ 
B)  $9 - 3 \mathrm { i }$ 
C)  $9 + 3 \mathrm { i }$ 
D)  $1 + 5 i$

Question 3

Solve the equation.
-$$- 4 x - 4 = x + 5$$

Accepted Answer

A)  $\left\{ - \frac { 1 } { 5 } \right\}$ 
B)  $\left\{ - \frac { 9 } { 4 } \right\}$ 
C)  $\left\{ - \frac { 1 } { 4 } \right\}$ 
D)  $\left\{ - \frac { 9 } { 5 } \right\}$ 
A)  $\left\{ - \frac { 1 } { 5 } \right\}$ 
B)  $\left\{ - \frac { 9 } { 4 } \right\}$ 
C)  $\left\{ - \frac { 1 } { 4 } \right\}$ 
D)  $\left\{ - \frac { 9 } { 5 } \right\}$

Question 4

Solve the problem.
-The stadium vending company finds that sales of hot dogs average 50,000 hot dogs per game when the hot dogs sell for $\$ 2.50$ each. For each 50 cent increase in the price, the sales per game drop by 5000 hot dogs. What price per hot dog should the vending company charge to realize the maximum revenue?

Accepted Answer

A)  $\$ 4.00$ 
B)  $\$ 2.50$ 
C)  $\$ 5.00$ 
D)  $\$ 3.75$ 
A)  $\$ 4.00$ 
B)  $\$ 2.50$ 
C)  $\$ 5.00$ 
D)  $\$ 3.75$

Question 5

Solve the equation.
-$( x - 5 ) ^ { 1 / 4 } + 10 = 0$

Accepted Answer

A)  $\{ - 2000 \}$ 
B)  $\varnothing$ 
C)  $\{ 2 \}$ 
D)  $\{ 2000 \}$ 
A)  $\{ - 2000 \}$ 
B)  $\varnothing$ 
C)  $\{ 2 \}$ 
D)  $\{ 2000 \}$

Question 6

Find the quotient. Write the answer in standard form.
-$\frac { 11 } { - \mathrm { i } }$

Accepted Answer

A)  $- 11 \mathrm { i }$ 
B)  $11 \mathrm { i }$ 
C)  11 
D)  $- 11$ 
A)  $- 11 \mathrm { i }$ 
B)  $11 \mathrm { i }$ 
C)  11 
D)  $- 11$

Question 7

Solve the equation.
-$\sqrt [ 3 ] { 5 x + 4 } = - 3$

Accepted Answer

A)  $\left\{ - \frac { 31 } { 5 } \right\}$ 
B)  $\left\{ \frac { 31 } { 5 } \right\}$ 
C)  $\{ - 31 \}$ 
D)  $\left\{ \frac { 23 } { 5 } \right\}$ 
A)  $\left\{ - \frac { 31 } { 5 } \right\}$ 
B)  $\left\{ \frac { 31 } { 5 } \right\}$ 
C)  $\{ - 31 \}$ 
D)  $\left\{ \frac { 23 } { 5 } \right\}$

Question 8

Solve and graph the inequality. Give answer in interval notation.
-$$15 < - 5 x \leq 35$$

Accepted Answer

A)  $( 3,7 ]$
  
B)  $[ - 7 , - 3 ]$
  
C)  $[ - 7 , - 3 )$
  
D)  $[ 3,7 )$
  
A)  $( 3,7 ]$
  
B)  $[ - 7 , - 3 ]$
  
C)  $[ - 7 , - 3 )$
  
D)  $[ 3,7 )$

Question 9

Solve the problem.
-The sum of the squares of two consecutive odd integers is 970 . Find the integers.

Accepted Answer

A)  $21 , - 23$ 
B)  21,23 
C)  21,23 or $- 21 , - 23$ 
D)  $- 21 , - 23$ 
A)  $21 , - 23$ 
B)  21,23 
C)  21,23 or $- 21 , - 23$ 
D)  $- 21 , - 23$

Question 10

Solve the problem.
-Only one of the following equations is set up so that the values of $a , b$, and c can be determined immediately. Which one is it?

Accepted Answer

A)  $2 x ^ { 2 } + 7 x + 1 = 0$ 
B)  $x ^ { 2 } + x = 1$ 
C)  $( 2 x + 7 ) ( x + 1 ) = 0$ 
D)  $( 2 x + 7 ) ^ { 2 } = 1$ 
A)  $2 x ^ { 2 } + 7 x + 1 = 0$ 
B)  $x ^ { 2 } + x = 1$ 
C)  $( 2 x + 7 ) ( x + 1 ) = 0$ 
D)  $( 2 x + 7 ) ^ { 2 } = 1$

Question 11

Write the inequality in interval notation.
-

Accepted Answer

A)  $( 9 , \infty )$ 
B)  $( - \infty , \infty ]$ 
C)  $( - \infty , - 10 ]$ 
D)  $( - \infty , 9 )$ 
A)  $( 9 , \infty )$ 
B)  $( - \infty , \infty ]$ 
C)  $( - \infty , - 10 ]$ 
D)  $( - \infty , 9 )$

Question 12

Solve the equation.
-$$\frac { 6 } { x + 5 } = 1 - \frac { 1 } { x - 5 }$$

Accepted Answer

A)  $\{ 1,5 \}$ 
B)  $\{ 0,7 \}$ 
C)  $\{ 0 , - 5 \}$ 
D)  $\varnothing$ 
A)  $\{ 1,5 \}$ 
B)  $\{ 0,7 \}$ 
C)  $\{ 0 , - 5 \}$ 
D)  $\varnothing$

Question 13

Solve the problem.
-Tom Quig traveled 270 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 7
Hours, how many miles did he drive at the reduced speed?

Accepted Answer

A)  25 mi 
B)  30 mi 
C)  50 mi 
D)  40 mi 
A)  25 mi 
B)  30 mi 
C)  50 mi 
D)  40 mi

Question 14

Find the product. Write the answer in standard form.
-$( 8 - 3 i ) ^ { 2 }$

Accepted Answer

A)  $55 + 48 \mathrm { i }$ 
B)  $73 - 48 \mathrm { i }$ 
C)  $73 + 48 \mathrm { i }$ 
D)  $55 - 48 \mathrm { i }$ 
A)  $55 + 48 \mathrm { i }$ 
B)  $73 - 48 \mathrm { i }$ 
C)  $73 + 48 \mathrm { i }$ 
D)  $55 - 48 \mathrm { i }$

Question 15

Write the inequality in interval notation.
-$7 > x \geq - 8$

Accepted Answer

A)  $[ - 8,7 )$ 
B)  $( - 8,7 )$ 
C)  $( - 8,7 ]$ 
D)  $[ - 8,7 ]$ 
A)  $[ - 8,7 )$ 
B)  $( - 8,7 )$ 
C)  $( - 8,7 ]$ 
D)  $[ - 8,7 ]$

Question 16

Solve the equation.
-$$\sqrt [ 4 ] { x + 4 } = \sqrt [ 4 ] { 9 x }$$

Accepted Answer

A)  $\varnothing$ 
B)  $\left\{ \frac { 1 } { 2 } \right\}$ 
C)  $\{ 2 \}$ 
D)  $\left\{ \frac { 4 } { 9 } \right\}$ 
A)  $\varnothing$ 
B)  $\left\{ \frac { 1 } { 2 } \right\}$ 
C)  $\{ 2 \}$ 
D)  $\left\{ \frac { 4 } { 9 } \right\}$

Question 17

Solve the equation.
-$$\frac { 8 } { x - 2 } + \frac { 8 } { x + 2 } = 3$$

Accepted Answer

A)  $\{ 2,6 \}$ 
B)  $\left\{ - \frac { 3 } { 2 } , - 6 \right\}$ 
C)  $\left\{ \frac { 2 } { 3 } , - 6 \right\}$ 
D)  $\left\{ - \frac { 2 } { 3 } , 6 \right\}$ 
A)  $\{ 2,6 \}$ 
B)  $\left\{ - \frac { 3 } { 2 } , - 6 \right\}$ 
C)  $\left\{ \frac { 2 } { 3 } , - 6 \right\}$ 
D)  $\left\{ - \frac { 2 } { 3 } , 6 \right\}$

Question 18

Solve the equation.
-$$| 3 x + 2 | + 9 = 15$$

Accepted Answer

A)  $\left\{ \frac { 4 } { 3 } , - \frac { 8 } { 3 } \right\}$ 
B)  $\varnothing$ 
C)  $\{ 2 , - 4 \}$ 
D)  $\left\{ - \frac { 4 } { 3 } , \frac { 8 } { 3 } \right\}$ 
A)  $\left\{ \frac { 4 } { 3 } , - \frac { 8 } { 3 } \right\}$ 
B)  $\varnothing$ 
C)  $\{ 2 , - 4 \}$ 
D)  $\left\{ - \frac { 4 } { 3 } , \frac { 8 } { 3 } \right\}$

Question 19

Write the statement as an absolute value inequality.
-$x$ is within 3 units of 2

Accepted Answer

A)  $| x - 2 | \leq 3$ 
B)  $| x - 3 | < 2$ 
C)  $| x - 2 | < 3$ 
D)  $| 3 - x | < 2$ 
A)  $| x - 2 | \leq 3$ 
B)  $| x - 3 | < 2$ 
C)  $| x - 2 | < 3$ 
D)  $| 3 - x | < 2$

Question 20

Solve the equation using the quadratic formula.
-$$5 = - \frac { 12 } { x } - \frac { 1 } { x ^ { 2 } }$$

Accepted Answer

A)  $\left\{ \frac { - 6 \pm \sqrt { 41 } } { 5 } \right\}$ 
B)  $\left\{ \frac { - 6 \pm \sqrt { 31 } } { 10 } \right\}$ 
C)  $\left\{ \frac { - 12 \pm \sqrt { 31 } } { 5 } \right\}$ 
D)  $\left\{ \frac { - 6 \pm \sqrt { 31 } } { 5 } \right\}$ 
A)  $\left\{ \frac { - 6 \pm \sqrt { 41 } } { 5 } \right\}$ 
B)  $\left\{ \frac { - 6 \pm \sqrt { 31 } } { 10 } \right\}$ 
C)  $\left\{ \frac { - 12 \pm \sqrt { 31 } } { 5 } \right\}$ 
D)  $\left\{ \frac { - 6 \pm \sqrt { 31 } } { 5 } \right\}$

Write the statement as an absolute value inequality. - $p$ is 5 units from 8

Find the sum or difference. Write the answer in standard form. - $( 5 + 4 i ) - ( - 4 + i )$

Solve the equation. - $- 4 x - 4 = x + 5$

Solve the equation. - $( x - 5 ) ^ { 1 / 4 } + 10 = 0$

Find the quotient. Write the answer in standard form. - $\frac { 11 } { - \mathrm { i } }$

Solve the equation. - $\sqrt [ 3 ] { 5 x + 4 } = - 3$

Solve and graph the inequality. Give answer in interval notation. - $15 < - 5 x \leq 35$ $Solve and graph the inequality. Give answer in interval notation. - 15 < - 5 x \leq 35$

Solve the problem. -The sum of the squares of two consecutive odd integers is 970 . Find the integers.

Solve the problem. -Only one of the following equations is set up so that the values of $a , b$ , and c can be determined immediately. Which one is it?

Write the inequality in interval notation. -

Solve the equation. - $\frac { 6 } { x + 5 } = 1 - \frac { 1 } { x - 5 }$

Solve the problem. -Tom Quig traveled 270 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 7 Hours, how many miles did he drive at the reduced speed?

Find the product. Write the answer in standard form. - $( 8 - 3 i ) ^ { 2 }$

Write the inequality in interval notation. - $7 > x \geq - 8$

Solve the equation. - $\sqrt [ 4 ] { x + 4 } = \sqrt [ 4 ] { 9 x }$

Solve the equation. - $\frac { 8 } { x - 2 } + \frac { 8 } { x + 2 } = 3$

Solve the equation. - $| 3 x + 2 | + 9 = 15$

Write the statement as an absolute value inequality. - $x$ is within 3 units of 2

Solve the equation using the quadratic formula. - $5 = - \frac { 12 } { x } - \frac { 1 } { x ^ { 2 } }$

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Exam 1: Equations and Inequalities

Write the statement as an absolute value inequality. - ppp is 5 units from 8

Find the sum or difference. Write the answer in standard form. - (5+4i)−(−4+i)( 5 + 4 i ) - ( - 4 + i )(5+4i)−(−4+i)

Solve the equation. - −4x−4=x+5- 4 x - 4 = x + 5−4x−4=x+5

Solve the equation. - (x−5)1/4+10=0( x - 5 ) ^ { 1 / 4 } + 10 = 0(x−5)1/4+10=0

Find the quotient. Write the answer in standard form. - 11−i\frac { 11 } { - \mathrm { i } }−i11​

Solve the equation. - 5x+43=−3\sqrt [ 3 ] { 5 x + 4 } = - 335x+4​=−3

Solve and graph the inequality. Give answer in interval notation. - 15<−5x≤3515 < - 5 x \leq 3515<−5x≤35