Question 1

Find the values of x and y, where x and y are real numbers.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Write the expression  in the form  , where a and b are real numbers.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Find the real solutions of the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 4

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the mental age of a person 18 years old whose IQ is 140.

Accepted Answer

A) 27.2 years. 
B) 23.2 years. 
C) 25.2 years. 
D) 28.2 years. 
E) 12.9 years.

Question 6

Solve the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

Find the values of x and y, where x and y are real numbers.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

The speed of the current in a stream is 3.3 mi/hr. It takes a canoeist 30 minutes longer to paddle 1.9 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

Accepted Answer

A) 3.4 mi/hr 
B) 7.2 mi/hr 
C) 4.8 mi/hr 
D) 9.0 mi/hr 
E) 6.0 mi/hr

Question 10

Solve the equation by using the special quadratic equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Solve the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Solve the equation by using the special quadratic equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Solve the inequality :

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

Solve the equation by factoring.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

Two surveyors with two-way radios leave the same point at 9:00 A.M., one walking due south at 4 mi/hr and the other due west at 2 mi/hr. How long can they communicate with one another if each radio has a maximum range of 2.24 miles? Round the answer to the nearest minute.

Accepted Answer

A) 55 minutes 
B) 45 minutes 
C) 87 minutes 
D) 63 minutes 
E) 30 minutes

Question 17

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

Solve the equation by using the special quadratic equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Find the solutions of the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 2: Equations and Inequalities

Find the values of x and y, where x and y are real numbers.

Write the expression in the form , where a and b are real numbers.

Find the real solutions of the equation

Solve the inequality.

A person's intelligence quotient (IQ) is determined by multiplying the quotient of his or her mental age and chronological age by 100. Find the mental age of a person 18 years old whose IQ is 140.

Solve the equation

Find the values of x and y, where x and y are real numbers.

Solve the inequality.

The speed of the current in a stream is 3.3 mi/hr. It takes a canoeist 30 minutes longer to paddle 1.9 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

Solve the equation by using the special quadratic equation.

Solve the equation

Solve the equation by using the special quadratic equation.

Solve the inequality :

Solve the inequality.

Solve the equation by factoring.

Two surveyors with two-way radios leave the same point at 9:00 A.M., one walking due south at 4 mi/hr and the other due west at 2 mi/hr. How long can they communicate with one another if each radio has a maximum range of 2.24 miles? Round the answer to the nearest minute.

Solve the inequality.

Solve the equation by using the special quadratic equation.

Find the solutions of the equation

Solve the inequality.