Question 1

Solve the formula for L.

Accepted Answer

A)   
B)   
C)   
D)   
E) none of these

Question 2

Solve the equation.

Accepted Answer

A)   
B)   
C) All real numbers except -4 
D) All real numbers except 4 
E) No solution

Question 3

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

Accepted Answer

A) i 
B) 1 
C) - i 
D) 1 + i 
E) - 1

Question 4

Solve the inequality :

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

Solve the formula for K.

Accepted Answer

A)   
B)   
C)   
D)   
E) none of these

Question 6

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

A bullet is fired horizontally at a target, and the sound of its impact is heard 1.3 seconds later. If the speed of the bullet is 3,000 ft/sec and the speed of sound is 1,100 ft/sec, how far away is the target?

Accepted Answer

A) 1,430.0 ft 
B) 1,046.3 ft 
C) 2,853.7 ft 
D) 1,438.0 ft 
E) 1,161.3 ft

Question 8

Solve the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

Solve the inequality :

Accepted Answer

A)   
B)   
C)   
D)   
E) No solution

Question 10

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

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 12 years old whose IQ is 140.

Accepted Answer

A) 14.8 years. 
B) 16.8 years. 
C) 19.8 years. 
D) 8.6 years. 
E) 18.8 years.

Question 12

Solve the equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Solve the equation by factoring.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

Solve the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

Solve the equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

Solve the inequality :

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 17

The speed of the current in a stream is 2.4 mi/hr. It takes a canoeist 60 minutes longer to paddle 1.7 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) 3.7 mi/hr 
B) 4.9 mi/hr 
C) 2.4 mi/hr 
D) 3.1 mi/hr 
E) 6.3 mi/hr

Question 18

Find the solutions of the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Solve the equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

Solve the equation.

Accepted Answer

A)   
B)   
C)   
D)   
E) no solution

Exam 2: Equations and Inequalities

Solve the formula for L.

Solve the equation.

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

Solve the inequality :

Solve the formula for K.

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

A bullet is fired horizontally at a target, and the sound of its impact is heard 1.3 seconds later. If the speed of the bullet is 3,000 ft/sec and the speed of sound is 1,100 ft/sec, how far away is the target?

Solve the equation

Solve the inequality :

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 12 years old whose IQ is 140.

Solve the equation.

Solve the equation by factoring.

Solve the equation

Solve the equation.

Solve the inequality :

The speed of the current in a stream is 2.4 mi/hr. It takes a canoeist 60 minutes longer to paddle 1.7 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.

Find the solutions of the equation

Solve the equation.

Solve the equation.