Title: Lesson 6
Course: quiz duplicate error

Q: May’s Internet Services designs websites. May noticed an increase in her customers over a period of 5 consecutive weeks. Based on the pattern shown in the graph, make a conjecture about the number of customers May will have in the seventh week.
[Image]
- May will have 7 customers.
- May will have 9 customers.
- May will have 11 customers.
- May will have 13 customers.
A: May will have 13 customers.

Q: Find a counterexample to show that the conjecture is false.
Conjecture: Any number that is divisible by 4 is also divisible by 8.
- 40
- 26
- 24
- 12
A: 12

Q: According to the pattern, make a conjecture about the product of 13 and 8,888,888.

[Image] 88 | = | 1144
[Image] 888 | = | 11,544
[Image] 8888 | = | 115,544
[Image] 88,888 | = | 1,155,544
- 115,555,544
- 1,115,555,444
- 1,155,555,544
- 11,155,555,444
A: 115,555,544

Q: Alfred is practicing typing. The first time he tested himself, he could type 27 words per minute. After practicing for a week, he could type 33 words per minute. After two weeks he could type 39 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice.
- 51 words per minute
- 39 words per minute
- 49 words per minute
- 45 words per minute
A: 51 words per minute

Q: Alfred is practicing typing. The first time he tested himself, he could type 23 words per minute. After practicing for a week, he could type 26 words per minute. After two weeks he could type 29 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice.
- 39 words per minute
- 29 words per minute
- 35 words per minute
- 32 words per minute
A: 35 words per minute

Q: Based on the pattern, make a conjecture about the sum of the first 20 positive even numbers.

2 | = | 2 | = | [Image]
2 + 4 | = | 6 | = | [Image]
2 + 4 + 6 | = | 12 | = | [Image]
2 + 4 + 6 + 8 | = | 20 | = | [Image]
2 + 4 + 6 + 8 + 10 | = | 30 | = | [Image]
- The sum is [Image].
- The sum is [Image].
- The sum is [Image].
- The sum is [Image].
A: The sum is [Image].

Q: Based on the pattern, what is the next figure in the sequence?
[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Find a counterexample to show that the conjecture is false.
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.
- 3 and 5
- 2 and 2
- A counterexample exists, but it is not shown above.
- There is no counterexample. The conjecture is true.
A: 2 and 2

Q: Find a counterexample to show that the conjecture is false.
Conjecture: Any number that is divisible by 6 is also divisible by 12.
- 60
- 48
- 36
- 30
A: 30

Q: Find a counterexample to show that the conjecture is false.
Conjecture: Any number that is divisible by 4 is also divisible by 8.
- 24
- 40
- 12
- 26
A: 12

Q: Based on the pattern, what are the next two terms of the sequence?
9, 15, 21, 27, . . .
- 33, 972
- 39, 45
- 162, 972
- 33, 39
A: 33, 39

Q: Based on the pattern, what are the next two terms of the sequence?
[Image], . . .
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Based on the pattern, what are the next two terms of the sequence?
6, 10, 14, 18, . . .
- 22, 288
- 26, 30
- 22, 26
- 72, 288
A: 22, 26

Q: Alfred is practicing typing. The first time he tested himself, he could type 28 words per minute. After practicing for a week, he could type 32 words per minute. After two weeks he could type 36 words per minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice.
- 46 words per minute
- 40 words per minute
- 36 words per minute
- 44 words per minute
A: 44 words per minute

Q: Based on the pattern, make a conjecture about the sum of the first 40 positive even numbers.

2 | = | 2 | = | [Image]
2 + 4 | = | 6 | = | [Image]
2 + 4 + 6 | = | 12 | = | [Image]
2 + 4 + 6 + 8 | = | 20 | = | [Image]
2 + 4 + 6 + 8 + 10 | = | 30 | = | [Image]
- The sum is [Image].
- The sum is [Image].
- The sum is [Image].
- The sum is [Image].
A: The sum is [Image].

Q: Based on the pattern, what are the next two terms of the sequence?
9, 18, 27, 36, . . .
- 324, 2916
- 54, 63
- 45, 54
- 45, 2916
A: 45, 54