Question 1

Solve the inequality. Express your answer using interval notation.
-

Accepted Answer

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

Question 2

Solve the equation.
--7x + 7 + 5x = -2x + 12

Accepted Answer

A) no solution 
B) {5} 
C) {-7} 
D) all real numbers 
A) no solution 
B) {5} 
C) {-7} 
D) all real numbers

Question 3

Write the word or phrase that best completes each statement or answers the question.
-

Accepted Answer

A) {0, 9} 
B) {0, 81} 
C)    
D) {2} 
A) {0, 9} 
B) {0, 81} 
C)    
D) {2}

Question 4

Solve the problem.
-An airplane flies 480 miles with the wind and 320 against the wind in the same length of time. If the speedof the wind is 30, what is the speed of the airplane in still air?

Accepted Answer

A) 150 mph 
B) 140 mph 
C) 155 mph 
D) 60 mph 
A) 150 mph 
B) 140 mph 
C) 155 mph 
D) 60 mph

Question 5

Find the real solutions of the equation.
-

Accepted Answer

A)    
B) {25, -25} 
C) {3} 
D) {5} 
A)    
B) {25, -25} 
C) {3} 
D) {5}

Question 6

Solve the problem.
-How much pure acid should be mixed with 5 gallons of a 50% acid solution in order to get an 80% acidsolution?

Accepted Answer

A) 7.5 gal 
B) 2.5 gal 
C) 20 gal 
D) 12.5 gal 
A) 7.5 gal 
B) 2.5 gal 
C) 20 gal 
D) 12.5 gal

Question 7

Solve the inequality. Express your answer using interval notation.
-

Accepted Answer

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

Question 8

Solve the equation.
-

Accepted Answer

A) {5} 
B) {-5} 
C) {2} 
D) {-2} 
A) {5} 
B) {-5} 
C) {2} 
D) {-2}

Question 9

Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols.
-The total cost of producing refrigerators in one production line is $3,600 plus $270 per unit produced.

Accepted Answer

A) If C is the total cost and x is the number of units produced, then C = 3,600 + 270x. 
B) If C is the total cost and x is the number of units produced, then C = 3,600x + 270. 
C) If C is the total cost and x is the number of units produced, then C = (3,600 + 270)x. 
D) If C is the total cost and x is the number of units produced, then   
A) If C is the total cost and x is the number of units produced, then C = 3,600 + 270x. 
B) If C is the total cost and x is the number of units produced, then C = 3,600x + 270. 
C) If C is the total cost and x is the number of units produced, then C = (3,600 + 270)x. 
D) If C is the total cost and x is the number of units produced, then

Question 10

Find the real solutions of the equation.
-

Accepted Answer

A) {196, 484} 
B) {14, - 22} 
C) {324} 
D) no real solution 
A) {196, 484} 
B) {14, - 22} 
C) {324} 
D) no real solution

Question 11

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A real estate agent agrees to sell an office building according to the following commission schedule:$27,000 plus 20% of the selling price in excess of $900,000. Assuming that the office building will sell atsome price between $900,000 and $1,000,000, inclusive, over what range does the agentʹs commission vary?

Accepted Answer

A) The commission will vary between $27,000 and $47,000, inclusive. 
B) The commission will vary between $28,000 and$47,000, inclusive. 
C) The commission will vary between $27,000 and $217,000, inclusive. 
D) The commission will vary between $207,000 and $227,000, inclusive. 
A) The commission will vary between $27,000 and $47,000, inclusive. 
B) The commission will vary between $28,000 and$47,000, inclusive. 
C) The commission will vary between $27,000 and $217,000, inclusive. 
D) The commission will vary between $207,000 and $227,000, inclusive.

Question 12

Solve the inequality. Express your answer in set notation.
-

Accepted Answer

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

Question 13

Find the real solutions of the equation by factoring.
-

Accepted Answer

A) {-3} 
B) {3} 
C) {-5, 5, -3} 
D) no real solution 
A) {-3} 
B) {3} 
C) {-5, 5, -3} 
D) no real solution

Question 14

Solve the inequality. Express your answer using interval notation.
-

Accepted Answer

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

Question 15

Write the expression in the standard form a + bi.
-(2 + 6i)(2 - 6i)

Accepted Answer

A) 40 
B)    
C) -32 
D) 4 - 36i 
A) 40 
B)    
C) -32 
D) 4 - 36i

Question 16

Find the real solutions, if any, of the equation. Use the quadratic formula.
-

Accepted Answer

A)    
B)    
C)    
D) no real solution 
A)    
B)    
C)    
D) no real solution

Question 17

Write the word or phrase that best completes each statement or answers the question.
-

Accepted Answer

A)    
B)    
C) {- 25} 
D) {- 26} 
A)    
B)    
C) {- 25} 
D) {- 26}

Question 18

Without solving, determine the character of the solutions of the equation in the complex number system.
-

Accepted Answer

A) two complex solutions that are conjugates of each other 
B) two unequal real solutions 
C) a repeated real solution 
A) two complex solutions that are conjugates of each other 
B) two unequal real solutions 
C) a repeated real solution

Question 19

Solve the equation.
-

Accepted Answer

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

Question 20

Solve a Quadratic Equation by Completing the Square
 Write the word or phrase that best completes each statement or answers the question.
Solve the equation by completing the square.
-

Accepted Answer

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

Solve the inequality. Express your answer using interval notation. -

Solve the equation. --7x + 7 + 5x = -2x + 12

Write the word or phrase that best completes each statement or answers the question. -

Solve the problem. -An airplane flies 480 miles with the wind and 320 against the wind in the same length of time. If the speedof the wind is 30, what is the speed of the airplane in still air?

Find the real solutions of the equation. -

Solve the problem. -How much pure acid should be mixed with 5 gallons of a 50% acid solution in order to get an 80% acidsolution?

Solve the inequality. Express your answer using interval notation. -

Solve the equation. -

Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols. -The total cost of producing refrigerators in one production line is $3,600 plus $270 per unit produced.

Find the real solutions of the equation. -

Solve the inequality. Express your answer in set notation. -

Find the real solutions of the equation by factoring. -

Solve the inequality. Express your answer using interval notation. -

Write the expression in the standard form a + bi. -(2 + 6i)(2 - 6i)

Find the real solutions, if any, of the equation. Use the quadratic formula. -

Write the word or phrase that best completes each statement or answers the question. -

Without solving, determine the character of the solutions of the equation in the complex number system. -

Solve the equation. -

Solve a Quadratic Equation by Completing the Square Write the word or phrase that best completes each statement or answers the question. Solve the equation by completing the square. -

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Exam 1: Equations and Inequalities

Solve the inequality. Express your answer using interval notation. -

Solve the equation. --7x + 7 + 5x = -2x + 12

Write the word or phrase that best completes each statement or answers the question. -

Solve the problem. -An airplane flies 480 miles with the wind and 320 against the wind in the same length of time. If the speedof the wind is 30, what is the speed of the airplane in still air?

Find the real solutions of the equation. -

Solve the problem. -How much pure acid should be mixed with 5 gallons of a 50% acid solution in order to get an 80% acidsolution?

Solve the inequality. Express your answer using interval notation. -

Solve the equation. -

Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols. -The total cost of producing refrigerators in one production line is $3,600 plus $270 per unit produced.

Find the real solutions of the equation. -

Solve the inequality. Express your answer in set notation. -

Find the real solutions of the equation by factoring. -

Solve the inequality. Express your answer using interval notation. -

Write the expression in the standard form a + bi. -(2 + 6i)(2 - 6i)

Find the real solutions, if any, of the equation. Use the quadratic formula. -

Write the word or phrase that best completes each statement or answers the question. -

Without solving, determine the character of the solutions of the equation in the complex number system. -

Solve the equation. -

Solve a Quadratic Equation by Completing the Square Write the word or phrase that best completes each statement or answers the question. Solve the equation by completing the square. -

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters