Question 1

Find the requested term in the sequence.
-The 100th term in 8, 13, 18, 23, 28, . . .

Accepted Answer

A) 498 
B) 504 
C) 503 
D) 508 
A) 498 
B) 504 
C) 503 
D) 508

Question 2

Solve the problem.
-A drink and a sandwich together cost $4.75. The sandwich costs $1.25 more than the drink. How much does the sandwich cost?

Accepted Answer

A) $0.50 
B) $4.25 
C) $1.75 
D) $3.00 
A) $0.50 
B) $4.25 
C) $1.75 
D) $3.00

Question 3

Provide an appropriate response.
-Look for a pattern in the sequence of figures shown below, and use your reasoning to draw the next figure.

Accepted Answer

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

Question 4

Find the number of terms in the sequence or the sum of the sequence as requested.
-Find the sum of the following arithmetic sequence. 1 + 2 + 3 + . . . + 500

Accepted Answer

A) 125,000 
B) 251,001 
C) 62,500 
D) 125,250 
A) 125,000 
B) 251,001 
C) 62,500 
D) 125,250

Question 5

Find the number of terms in the sequence or the sum of the sequence as requested.
-Find the number of terms in the following arithmetic sequence. 1, 5, 9, 13, . . ., 117

Accepted Answer

A) 27 
B) 30 
C) 26 
D) 5 
A) 27 
B) 30 
C) 26 
D) 5

Question 6

Find the number of terms in the sequence or the sum of the sequence as requested.
-How many terms are there in the sequence 5, 10, 20, 40, 80, . . ., 20,480?

Accepted Answer

A) 13 
B) 14 
C) 11 
D) 12 
A) 13 
B) 14 
C) 11 
D) 12

Question 7

Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence.
-10, 35, 60, 85, 110, . . .

Accepted Answer

A) Geometric; 135; 145 
B) Arithmetic; 135; 160 
C) Neither; 135; 160 
A) Geometric; 135; 145 
B) Arithmetic; 135; 160 
C) Neither; 135; 160

Question 8

Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence.
-13, 14, 21, 28, 35, . . .

Accepted Answer

A) Geometric; 42; 49 
B) Arithmetic; 42; 49 
C) Neither; 42; 49 
A) Geometric; 42; 49 
B) Arithmetic; 42; 49 
C) Neither; 42; 49

Question 9

Provide an appropriate response.
-Look for a pattern in the sequence of figures shown below, and use your reasoning to draw the next figure.

Accepted Answer

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

Question 10

Solve the problem.
-How many different ways can you make change for a 25-cent coin using nickels and pennies?

Accepted Answer

A) 4 
B) 7 
C) 6 
D) 5 
A) 4 
B) 7 
C) 6 
D) 5

Question 11

Solve the problem.
-Which is greater, E or P, and by how much? $$\begin{array} { l } 
E = 1 + 3 + 5 + 7 + \ldots + 95 \
P = 2 + 4 + 6 + 8 + \ldots + 96
\end{array}$$

Accepted Answer

A)  $E$ is greater by 47 
B)  $P$ is greater by 48 
C)  E is greater by 48 
D)  $P$ is greater by 49 
A)  $E$ is greater by 47 
B)  $P$ is greater by 48 
C)  E is greater by 48 
D)  $P$ is greater by 49

Question 12

Solve the problem.
-A collection of dimes is arranged in a triangular array with 11 coins in the base row, 10 in the next, 9 in the next, and so forth. Find the value of the collection.

Accepted Answer

A) $ 0.66 
B) $ 13.20 
C) $ 3.30 
D) $ 6.60 
A) $ 0.66 
B) $ 13.20 
C) $ 3.30 
D) $ 6.60

Question 13

Find the requested term in the sequence.
-Given that the sequence 2, 9, x, y, 31, . . . is a Fibonacci sequence, find x and y.

Accepted Answer

A) 11, 20 
B) 11, 13 
C) 20, 29 
D) 13, 22 
A) 11, 20 
B) 11, 13 
C) 20, 29 
D) 13, 22

Question 14

Provide an appropriate response.
-Use the strategy of writing equations to justify that if $y = 2 x$ and $z = y + 5$, then $z$ is greater than $x$.

Accepted Answer

Putting the value of y in the

Question 15

Provide an appropriate response.
-The first difference of a sequence is 2, 4, 6, 8, 10, . . . Find the first six terms of the original sequence if the third term of the original sequence is 61.

Accepted Answer

A) 61, 63, 65, 67, 69, 71 
B) 55, 57, 61, 67, 69, 71 
C) 59, 57, 61, 67, 69, 71 
D) 55, 57, 61, 67, 75, 85 
A) 61, 63, 65, 67, 69, 71 
B) 55, 57, 61, 67, 69, 71 
C) 59, 57, 61, 67, 69, 71 
D) 55, 57, 61, 67, 75, 85

Question 16

Find the number of terms in the sequence or the sum of the sequence as requested.
-Find the number of terms in the following arithmetic sequence. 1, 3, 5, 7, . . ., 51

Accepted Answer

A) 28 
B) 26 
C) 25 
D) 51 
A) 28 
B) 26 
C) 25 
D) 51

Question 17

Complete the magic (addition)square.
-Use each number 26, 27, 28, 29, 30, 31, 32, 33, and 34 once. $\begin{array}{|l|l|l|}
\hline 31 & & \
\hline & 30 & 28 \
\hline 27 & 34 & \
\hline
\end{array}$

Accepted Answer

A) 
$\begin{array}{|l|l|l|}
\hline 31 & 26 & 33 \
\hline 32 & 30 & 28 \
\hline 27 & 34 & 29 \
\hline
\end{array}$ 
B)

$\begin{array}{|l|l|l|}
\hline 31 & 29 & 33 \
\hline 32 & 30 & 28 \
\hline 27 & 34 & 26 \
\hline
\end{array}$ 
C) 
$\begin{array}{|l|l|l|}
\hline 31 & 26 & 32 \
\hline 33 & 30 & 28 \
\hline 27 & 34 & 29 \
\hline
\end{array}$ 
D) 
$\begin{array}{|l|l|l|}
\hline 31 & 29 & 32 \
\hline 33 & 30 & 28 \
\hline 27 & 34 & 26 \
\hline
\end{array}$ 
A) 
$\begin{array}{|l|l|l|}
\hline 31 & 26 & 33 \
\hline 32 & 30 & 28 \
\hline 27 & 34 & 29 \
\hline
\end{array}$ 
B)

$\begin{array}{|l|l|l|}
\hline 31 & 29 & 33 \
\hline 32 & 30 & 28 \
\hline 27 & 34 & 26 \
\hline
\end{array}$ 
C) 
$\begin{array}{|l|l|l|}
\hline 31 & 26 & 32 \
\hline 33 & 30 & 28 \
\hline 27 & 34 & 29 \
\hline
\end{array}$ 
D) 
$\begin{array}{|l|l|l|}
\hline 31 & 29 & 32 \
\hline 33 & 30 & 28 \
\hline 27 & 34 & 26 \
\hline
\end{array}$

Question 18

Find the number of terms in the sequence or the sum of the sequence as requested.
-Find the number of terms in the following arithmetic sequence. 8, 11, 14, 17, . . ., 89

Accepted Answer

A) 28 
B) 30 
C) 81 
D) 84 
A) 28 
B) 30 
C) 81 
D) 84

Question 19

Solve the problem.
-An auditorium has 15 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium?

Accepted Answer

A) 390 
B) 300 
C) 255 
D) 360 
A) 390 
B) 300 
C) 255 
D) 360

Question 20

Find the requested term in the sequence.
-The next term in 8, 32, 96, 288, 864, . . .

Accepted Answer

A) 7776 
B) 23,328 
C) 2592 
D) 69,984 
A) 7776 
B) 23,328 
C) 2592 
D) 69,984

Find the requested term in the sequence. -The 100th term in 8, 13, 18, 23, 28, . . .

Solve the problem. -A drink and a sandwich together cost $4.75. The sandwich costs $1.25 more than the drink. How much does the sandwich cost?

Provide an appropriate response. -Look for a pattern in the sequence of figures shown below, and use your reasoning to draw the next figure.

Find the number of terms in the sequence or the sum of the sequence as requested. -Find the sum of the following arithmetic sequence. 1 + 2 + 3 + . . . + 500

Find the number of terms in the sequence or the sum of the sequence as requested. -Find the number of terms in the following arithmetic sequence. 1, 5, 9, 13, . . ., 117

Find the number of terms in the sequence or the sum of the sequence as requested. -How many terms are there in the sequence 5, 10, 20, 40, 80, . . ., 20,480?

Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence. -10, 35, 60, 85, 110, . . .

Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence. -13, 14, 21, 28, 35, . . .

Provide an appropriate response. -Look for a pattern in the sequence of figures shown below, and use your reasoning to draw the next figure.

Solve the problem. -How many different ways can you make change for a 25-cent coin using nickels and pennies?

Solve the problem. -Which is greater, E or P, and by how much? E=1+3+5+7+\ldots+95 P=2+4+6+8+\ldots+96

Solve the problem. -A collection of dimes is arranged in a triangular array with 11 coins in the base row, 10 in the next, 9 in the next, and so forth. Find the value of the collection.

Find the requested term in the sequence. -Given that the sequence 2, 9, x, y, 31, . . . is a Fibonacci sequence, find x and y.

Provide an appropriate response. -Use the strategy of writing equations to justify that if $y = 2 x$ and $z = y + 5$ , then $z$ is greater than $x$ .

Provide an appropriate response. -The first difference of a sequence is 2, 4, 6, 8, 10, . . . Find the first six terms of the original sequence if the third term of the original sequence is 61.

Find the number of terms in the sequence or the sum of the sequence as requested. -Find the number of terms in the following arithmetic sequence. 1, 3, 5, 7, . . ., 51

Complete the magic (addition)square. -Use each number 26, 27, 28, 29, 30, 31, 32, 33, and 34 once. 31 30 28 27 34

Find the number of terms in the sequence or the sum of the sequence as requested. -Find the number of terms in the following arithmetic sequence. 8, 11, 14, 17, . . ., 89

Solve the problem. -An auditorium has 15 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium?

Find the requested term in the sequence. -The next term in 8, 32, 96, 288, 864, . . .

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 1: An Introduction to Problem Solving

Find the requested term in the sequence. -The 100th term in 8, 13, 18, 23, 28, . . .

Solve the problem. -A drink and a sandwich together cost $4.75. The sandwich costs $1.25 more than the drink. How much does the sandwich cost?

Provide an appropriate response. -Look for a pattern in the sequence of figures shown below, and use your reasoning to draw the next figure.

Find the number of terms in the sequence or the sum of the sequence as requested. -Find the sum of the following arithmetic sequence. 1 + 2 + 3 + . . . + 500

Find the number of terms in the sequence or the sum of the sequence as requested. -Find the number of terms in the following arithmetic sequence. 1, 5, 9, 13, . . ., 117

Find the number of terms in the sequence or the sum of the sequence as requested. -How many terms are there in the sequence 5, 10, 20, 40, 80, . . ., 20,480?

Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence. -10, 35, 60, 85, 110, . . .

Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence. -13, 14, 21, 28, 35, . . .

Provide an appropriate response. -Look for a pattern in the sequence of figures shown below, and use your reasoning to draw the next figure.

Solve the problem. -How many different ways can you make change for a 25-cent coin using nickels and pennies?

Solve the problem. -Which is greater, E or P, and by how much? E=1+3+5+7+\ldots+95 P=2+4+6+8+\ldots+96

Solve the problem. -A collection of dimes is arranged in a triangular array with 11 coins in the base row, 10 in the next, 9 in the next, and so forth. Find the value of the collection.

Find the requested term in the sequence. -Given that the sequence 2, 9, x, y, 31, . . . is a Fibonacci sequence, find x and y.

Provide an appropriate response. -Use the strategy of writing equations to justify that if y=2xy = 2 xy=2x and z=y+5z = y + 5z=y+5 , then zzz is greater than xxx .

Provide an appropriate response. -The first difference of a sequence is 2, 4, 6, 8, 10, . . . Find the first six terms of the original sequence if the third term of the original sequence is 61.

Find the number of terms in the sequence or the sum of the sequence as requested. -Find the number of terms in the following arithmetic sequence. 1, 3, 5, 7, . . ., 51

Complete the magic (addition)square. -Use each number 26, 27, 28, 29, 30, 31, 32, 33, and 34 once. 31 30 28 27 34

Find the number of terms in the sequence or the sum of the sequence as requested. -Find the number of terms in the following arithmetic sequence. 8, 11, 14, 17, . . ., 89

Solve the problem. -An auditorium has 15 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium?

Find the requested term in the sequence. -The next term in 8, 32, 96, 288, 864, . . .

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Provide an appropriate response. -Use the strategy of writing equations to justify that if $y = 2 x$ and $z = y + 5$ , then $z$ is greater than $x$ .