Question 1

Identify the sequence as arithmetic, geometric, or neither.
-

Accepted Answer

A)  Neither 
B)  Geometric 
C)  Arithmetic 
A)  Neither 
B)  Geometric 
C)  Arithmetic

Question 2

Solve the problem.
-100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability that the
Person does not work full time.   1. Public transportation: 8 full time, 7 part time
2. Bicycle: 3 full time, 3 part time
3. Drive alone: 35 full time, 30 part time
4. Carpool: 7 full time, 7 part time

Accepted Answer

A)  0.53 
B)  0.47 
C)  0.30 
D)  0.44 
A)  0.53 
B)  0.47 
C)  0.30 
D)  0.44

Question 3

Find the mean for the sequence of numbers.
-4, 7, 10, 13, 16, 19, 22

Accepted Answer

A)  13 
B)  16 
C)  14.5 
D)  29 
A)  13 
B)  16 
C)  14.5 
D)  29

Question 4

Solve the problem.
-The population of a town was 34,200 at the beginning of 1970. If the population decreased by 350 people per year, how many people lived in the town at the beginning of 1985?

Accepted Answer

A)  28,950 
B)  28,600 
C)  5250 
D)  29,300 
A)  28,950 
B)  28,600 
C)  5250 
D)  29,300

Question 5

Solve the problem.
-100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability that the
Person does not commute by public transportation.   1. Public transportation: 10 full time, 7 part time
2. Bicycle: 5 full time, 4 part time
3. Drive alone: 33 full time, 26 part time
4. Carpool: 6 full time, 9 part time

Accepted Answer

A)  0.17 
B)  1.00 
C)  0.44 
D)  0.83 
A)  0.17 
B)  1.00 
C)  0.44 
D)  0.83

Question 6

Solve the problem.
-A town has a population of 3000 people and is increasing by 9% every year. What will the population be at the end of 9 years? Round to the nearest unit.

Accepted Answer

A)  7102 people 
B)  5430 people 
C)  5978 people 
D)  6516 people 
A)  7102 people 
B)  5430 people 
C)  5978 people 
D)  6516 people

Question 7

Write out the first five terms of the sequence.
-

Accepted Answer

A)    
B)  400, - 200, 100, - 50, 25 
C)    
D)  -1, - 200, - 100, - 50, - 25 
A)    
B)  400, - 200, 100, - 50, 25 
C)    
D)  -1, - 200, - 100, - 50, - 25

Question 8

Solve.
-There are 5 women running in a race. How many first, second, and third place possibilities can occur?

Accepted Answer

A)  125 
B)  15 
C)  10 
D)  60 
A)  125 
B)  15 
C)  10 
D)  60

Question 9

Solve the problem.
-A restaurant offered salads with 5 types of dressings and one choice of 4 different toppings. How many different types of salads could be offered?

Accepted Answer

A)  16 
B)  25 
C)  9 
D)  20 
A)  16 
B)  25 
C)  9 
D)  20

Question 10

Solve the problem.
-A student is told to work any 7 out of 10 questions on an exam. In how many different ways can he complete the exam? (The correctness of his answers has no bearing.)

Accepted Answer

A)  720 
B)  21 
C)  10,000,000 
D)  120 
A)  720 
B)  21 
C)  10,000,000 
D)  120

Question 11

Provide an appropriate response.
-Consider the arrangements of the letters in the word ALGEBRA. Are these combinations, permutations, or neither?

Accepted Answer

A)  Combinations 
B)  Permutations 
C)  Neither 
A)  Combinations 
B)  Permutations 
C)  Neither

Question 12

Solve the problem.
-A salesman packed 3 shirts and 6 ties. With one shirt, he could wear all 6 ties. With another shirt, he could wear 5 ties. With the other shirt, he could wear only 3 ties. How many different combinations did he have?

Accepted Answer

A)  13 
B)  33 
C)  90 
D)  14 
A)  13 
B)  33 
C)  90 
D)  14

Question 13

Use the addition rule to solve the problem.
-  What is the probability that the arrow will land on 2 or 5?

Accepted Answer

A)    
B)  2 
C)    
D)    
A)    
B)  2 
C)    
D)

Question 14

Solve the problem.
-A town has a population of 3000 people and is increasing by 9% every year. What will the population be at the end of 8 years? Round answer to the nearest whole number.

Accepted Answer

A)  5160 
B)  5978 
C)  6516 
D)  5484 
A)  5160 
B)  5978 
C)  6516 
D)  5484

Question 15

Use the addition rule to solve the problem.
-A lottery game has balls numbered 1 through 21. What is the probability of selecting an even numbered ball or a 13?

Accepted Answer

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

Question 16

Solve the problem.
-What is the coefficient of   in the expansion of

Accepted Answer

A)  362,880 
B)  -362,880 
C)  -2520 
D)  2520 
A)  362,880 
B)  -362,880 
C)  -2520 
D)  2520

Question 17

Write out all the terms of the series.
-

Accepted Answer

A)    
B)  6x + 7x + 8x + 9x + . . . 
C)  7x + 8x + 9x + 10x 
D)  6x + 7x + 8x + 9x 
A)    
B)  6x + 7x + 8x + 9x + . . . 
C)  7x + 8x + 9x + 10x 
D)  6x + 7x + 8x + 9x

Question 18

Evaluate the expression.
-P(7, 1)

Accepted Answer

A)  720 
B)  7 
C)  5040 
D)  1 
A)  720 
B)  7 
C)  5040 
D)  1

Question 19

Rewrite the series using the new index j as indicated.
-

Accepted Answer

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

Question 20

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer.
-

Accepted Answer

A)  5 
B)  2 
C)  4 
D)  3 
A)  5 
B)  2 
C)  4 
D)  3

Identify the sequence as arithmetic, geometric, or neither. -

Find the mean for the sequence of numbers. -4, 7, 10, 13, 16, 19, 22

Solve the problem. -The population of a town was 34,200 at the beginning of 1970. If the population decreased by 350 people per year, how many people lived in the town at the beginning of 1985?

Solve the problem. -A town has a population of 3000 people and is increasing by 9% every year. What will the population be at the end of 9 years? Round to the nearest unit.

Write out the first five terms of the sequence. -

Solve. -There are 5 women running in a race. How many first, second, and third place possibilities can occur?

Solve the problem. -A restaurant offered salads with 5 types of dressings and one choice of 4 different toppings. How many different types of salads could be offered?

Solve the problem. -A student is told to work any 7 out of 10 questions on an exam. In how many different ways can he complete the exam? (The correctness of his answers has no bearing.)

Provide an appropriate response. -Consider the arrangements of the letters in the word ALGEBRA. Are these combinations, permutations, or neither?

Solve the problem. -A salesman packed 3 shirts and 6 ties. With one shirt, he could wear all 6 ties. With another shirt, he could wear 5 ties. With the other shirt, he could wear only 3 ties. How many different combinations did he have?

Use the addition rule to solve the problem. - What is the probability that the arrow will land on 2 or 5?

Solve the problem. -A town has a population of 3000 people and is increasing by 9% every year. What will the population be at the end of 8 years? Round answer to the nearest whole number.

Use the addition rule to solve the problem. -A lottery game has balls numbered 1 through 21. What is the probability of selecting an even numbered ball or a 13?

Solve the problem. -What is the coefficient of in the expansion of

Write out all the terms of the series. -

Evaluate the expression. -P(7, 1)

Rewrite the series using the new index j as indicated. -

Determine whether the statement is true for n = 1, 2, 3, 4, and 5. Use the number of true statements as your answer. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Basic Algebra Review

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Exam 11: Sequences, Series, and Probability