Question 1

The boundary of a city is a circle of diameter L = 7 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 8-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Solve the equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Solve 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 IQ of a 18 - year - old child whose mental age is 21.6.

Accepted Answer

A) 110 points of IQ 
B) 127 points of IQ 
C) 130 points of IQ 
D) 120 points of IQ 
E) 83 points of IQ

Question 6

Solve the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 7

Solve the equation

Accepted Answer

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

Question 8

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

Question 9

A consumer is trying to decide whether to purchase car A or car B. Car A costs $10,000 and has an mpg rating of 30, and insurance is $500 per year. Car B costs $12,600 and has an mpg rating of 50, and insurance is $550 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $1.25 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.

Accepted Answer

A) 13 years 
B) 17 years 
C) 47 years 
D) 57 years 
E) 15 years

Question 10

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Solve the equation

Accepted Answer

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

Question 12

Solve the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

A student in an algebra course has test scores of 69, 79, 75, and 80. What score on the next test will raise the student's average to 80?

Accepted Answer

A) 76 
B) 97 
C) 75 
D) 94 
E) 99

Question 14

During a nuclear explosion, a fireball will be produced having a maximum volume V 0 . For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not  o K.) Approximate t when V is 84% of V 0 . Round the answer to the nearest thousandth of a second.

Accepted Answer

A) 0.736 sec 
B) 5.887 sec 
C) 37.964 sec 
D) 1.472 sec 
E) 1.619 sec

Question 15

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

Question 16

Solve the equation.

Accepted Answer

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

Question 17

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

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 IQ of a 16 - year - old child whose mental age is 21.6.

Accepted Answer

A) 145 points of IQ 
B) 142 points of IQ 
C) 125 points of IQ 
D) 135 points of IQ 
E) 74 points of IQ

Question 19

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 2: Equations and Inequalities

Solve the equation.

Solve 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 IQ of a 18 - year - old child whose mental age is 21.6.

Solve the equation

Solve the equation

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.

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

Solve the equation

Solve the equation

A student in an algebra course has test scores of 69, 79, 75, and 80. What score on the next test will raise the student's average to 80?

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.

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

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 IQ of a 16 - year - old child whose mental age is 21.6.

Solve the inequality.