Question 1

Use the addition rule to solve the problem.
-A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 8?

Accepted Answer

A)    
B)    
C)    
D)  9 
A)    
B)    
C)    
D)  9

Question 2

Find the indicated part of the arithmetic sequence.
-Find the common difference of the sequence in which the first term is -10 and the 8th term is -31.

Accepted Answer

A)    
B)    
C)  3 
D)  -3 
A)    
B)    
C)  3 
D)  -3

Question 3

Find the requested sum of the arithmetic sequence.
-4, 0, -4, . . . , -156

Accepted Answer

A)  -3040 
B)  -152 
C)  -156 
D)  -3116 
A)  -3040 
B)  -152 
C)  -156 
D)  -3116

Question 4

Solve the problem.
-A sports shop sold tennis rackets in 4 different weights, 3 types of string, and 3 grip sizes. How many different rackets could they sell?

Accepted Answer

A)  10 
B)  48 
C)  36 
D)  21 
A)  10 
B)  48 
C)  36 
D)  21

Question 5

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

Question 6

Find the probability of the event.
-If a single coin is tossed four times, then what is the probability of getting exactly four tails?

Accepted Answer

A)    
B)  0 
C)    
D)    
A)    
B)  0 
C)    
D)

Question 7

Solve the problem.
-How many distinct triangles are determined by 7 points lying on a circle, where the vertices of each triangle are chosen from the 7 points ?

Accepted Answer

A)  210 
B)  35 
C)  21 
D)  840 
A)  210 
B)  35 
C)  21 
D)  840

Question 8

Write the series in summation notation. Use the index i and let i begin at 1 in each summation.
-6 + 10 + 14 + 18 + 22

Accepted Answer

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

Question 9

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula.
-

Accepted Answer

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

Question 10

Write the first four terms of the binomial expansion.
-

Accepted Answer

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

Question 11

Find the indicated part of the arithmetic sequence.
-Find term 49 of the sequence that has a first term of -8 and a common difference of

Accepted Answer

A)  28 
B)    
C)  - 44 
D)    
A)  28 
B)    
C)  - 44 
D)

Question 12

Provide an appropriate response.
-Consider the possible selections of thirteen-card bridge hands. Are such selections examples of combinations, permutations, or neither?

Accepted Answer

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

Question 13

Solve the problem.
-A town has a population of 30,000 people and is increasing by 10% every year. What will the population be at the end of 5 years? Round answer to the nearest whole number.

Accepted Answer

A)  45,000 people 
B)  43,923 people 
C)  18,315 people 
D)  48,315 people 
A)  45,000 people 
B)  43,923 people 
C)  18,315 people 
D)  48,315 people

Question 14

Write the first four terms of the binomial expansion.
-

Accepted Answer

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

Question 15

Solve the problem.
-A town has a population of 2000 people and is increasing by 9% every year. What will the population be at the end of 9 years? Round answer to the nearest whole number.

Accepted Answer

A)  4344 people 
B)  3985 people 
C)  4735 people 
D)  3620 people 
A)  4344 people 
B)  3985 people 
C)  4735 people 
D)  3620 people

Question 16

Find all the terms of the finite sequence.
-

Accepted Answer

A)  2, 6, 12, 20, 30 
B)  1, 4, 9, 16, 25 
C)  0, 2, 6, 12, 20 
D)  0, 3, 8, 15, 24 
A)  2, 6, 12, 20, 30 
B)  1, 4, 9, 16, 25 
C)  0, 2, 6, 12, 20 
D)  0, 3, 8, 15, 24

Question 17

Find the first five terms of the infinite sequence whose nth term is given.
-

Accepted Answer

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

Question 18

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

Accepted Answer

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

Use the addition rule to solve the problem. -A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 8?

Find the indicated part of the arithmetic sequence. -Find the common difference of the sequence in which the first term is -10 and the 8th term is -31.

Find the requested sum of the arithmetic sequence. -4, 0, -4, . . . , -156

Solve the problem. -A sports shop sold tennis rackets in 4 different weights, 3 types of string, and 3 grip sizes. How many different rackets could they sell?

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

Find the probability of the event. -If a single coin is tossed four times, then what is the probability of getting exactly four tails?

Solve the problem. -How many distinct triangles are determined by 7 points lying on a circle, where the vertices of each triangle are chosen from the 7 points ?

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. -6 + 10 + 14 + 18 + 22

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -

Write the first four terms of the binomial expansion. -

Find the indicated part of the arithmetic sequence. -Find term 49 of the sequence that has a first term of -8 and a common difference of

Provide an appropriate response. -Consider the possible selections of thirteen-card bridge hands. Are such selections examples of combinations, permutations, or neither?

Solve the problem. -A town has a population of 30,000 people and is increasing by 10% every year. What will the population be at the end of 5 years? Round answer to the nearest whole number.

Write the first four terms of the binomial expansion. -

Solve the problem. -A town has a population of 2000 people and is increasing by 9% every year. What will the population be at the end of 9 years? Round answer to the nearest whole number.

Find all the terms of the finite sequence. -

Find the first five terms of the infinite sequence whose nth term is given. -

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

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

Use the addition rule to solve the problem. -A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace or a 8?

Find the indicated part of the arithmetic sequence. -Find the common difference of the sequence in which the first term is -10 and the 8th term is -31.

Find the requested sum of the arithmetic sequence. -4, 0, -4, . . . , -156

Solve the problem. -A sports shop sold tennis rackets in 4 different weights, 3 types of string, and 3 grip sizes. How many different rackets could they sell?

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

Find the probability of the event. -If a single coin is tossed four times, then what is the probability of getting exactly four tails?

Solve the problem. -How many distinct triangles are determined by 7 points lying on a circle, where the vertices of each triangle are chosen from the 7 points ?

Write the series in summation notation. Use the index i and let i begin at 1 in each summation. -6 + 10 + 14 + 18 + 22

Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula. -

Write the first four terms of the binomial expansion. -

Find the indicated part of the arithmetic sequence. -Find term 49 of the sequence that has a first term of -8 and a common difference of

Provide an appropriate response. -Consider the possible selections of thirteen-card bridge hands. Are such selections examples of combinations, permutations, or neither?

Solve the problem. -A town has a population of 30,000 people and is increasing by 10% every year. What will the population be at the end of 5 years? Round answer to the nearest whole number.

Write the first four terms of the binomial expansion. -

Solve the problem. -A town has a population of 2000 people and is increasing by 9% every year. What will the population be at the end of 9 years? Round answer to the nearest whole number.

Find all the terms of the finite sequence. -

Find the first five terms of the infinite sequence whose nth term is given. -

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

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

Filters