Exam 2 Study Guide (Chapters 4 and 5)

Question 1

Define prime number.

Answer 1

A prime number only has two divisors: 1 and itself.

Question 2

What is an equation?

Answer 2

When one makes a statement which sets two expressions equal to each other, one has created an equation.

Question 3

What is an algebraic expression?

Answer 3

A combination of numbers, parenthesis, operations, and letters which represent a number

Question 4

When writing a number such as b^m = y, what is b and what is m?

Answer 4

b is the base and m is the exponent.

Question 5

What is a proof?

Answer 5

A chain of reasoning that explains why the fact is a consequence of previously known facts.

Question 6

TRUE or FALSE? Whenever p and q are prime numbers, p+q is even.

Answer 6

FALSE. (2 + 3 = 5)

Question 7

TRUE or FALSE? If a number is divisible by 40, then it is divisible by both 4 and 10.

Answer 7

TRUE (divisibility rules for 10 and 4)

Question 8

TRUE OR FALSE? If a number is divisible by both 4 and 10, then it is divisible by 40.

Answer 8

FALSE (4 is not divisible by 40, nor is 10)

Question 9

TRUE or FALSE? If a number is divisible by 4, then the sum of all of its digits are divisible by 4.

Answer 9

FALSE (divisibility rule for 4)

Question 10

TRUE or FALSE? When you multiply two odd numbers together, you always get an even number.

Answer 10

FALSE (3 x 5 = 15)

Question 11

Write 10,000 as an exponent.

Answer 11

10^4

Question 12

Write 1024 as an exponent.

Answer 12

2^10