Question 1

Solve the equation by using the special quadratic equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Solve the formula for p.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 4

A student in an algebra course has test scores of 68, 79, 74, and 82. What score on the next test will raise the student's average to 80?

Accepted Answer

A) 97 
B) 75 
C) 95 
D) 100 
E) 76

Question 5

The boundary of a city is a circle of diameter L = 4 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 5-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 6

Solve the equation.

Accepted Answer

A)   
B)   
C) All real numbers except -2 
D) All real numbers except 2 
E) No solution

Question 7

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 20.

Accepted Answer

A) 132 points of IQ 
B) 135 points of IQ 
C) 115 points of IQ 
D) 125 points of IQ 
E) 80 points of IQ

Question 8

British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 222 grams of a copper-silver alloy that is 15% copper by weight?

Accepted Answer

A) 197.9 g of British sterling silver and 24.1 g of copper. 
B) 204.0 g of British sterling silver and 18.0 g of copper. 
C) 183.8 g of British sterling silver and 38.2 g of copper. 
D) 188.7 g of British sterling silver and 33.3 g of copper. 
E) 205.3 g of British sterling silver and 16.7 g of copper.

Question 9

Solve the equation.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 10

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $3 per foot and the cost of preparing the soil is $0.60 per ft  2 , determine the width of the garden that can be enclosed for $852.60.

Accepted Answer

A) 34 ft 
B) 33 ft 
C) 29 ft 
D) 64 ft 
E) 12 ft

Question 11

Solve the equation by factoring.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

As a particle moves along a straight path, its speed v (in cm/sec) at time t (in seconds) is given by the equation below. For what subintervals of the time interval [0, 9] will its speed be at least 4 cm/sec?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

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

Question 14

Solve the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

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 $450 per year. Car B costs $11,800 and has an mpg rating of 50, and insurance is $500 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) 10 years 
B) 31 years 
C) 41 years 
D) 18 years 
E) 9 years

Question 16

Solve the formula for  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

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

Solve the inequality.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Find the real solutions of the equation

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

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

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 2: Equations and Inequalities

Solve the equation by using the special quadratic equation.

Solve the formula for p.

Solve the inequality.

A student in an algebra course has test scores of 68, 79, 74, and 82. What score on the next test will raise the student's average to 80?

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 IQ of a 16 - year - old child whose mental age is 20.

British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 222 grams of a copper-silver alloy that is 15% copper by weight?

Solve the equation.

A square vegetable garden is to be tilled and then enclosed with a fence. If the fence costs $3 per foot and the cost of preparing the soil is $0.60 per ft ², determine the width of the garden that can be enclosed for $852.60.

Solve the equation by factoring.

As a particle moves along a straight path, its speed v (in cm/sec) at time t (in seconds) is given by the equation below. For what subintervals of the time interval [0, 9] will its speed be at least 4 cm/sec?

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 formula for .

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

Solve the inequality.

Find the real solutions of the equation

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