Math

Question 1

Define what an integer is

Answer 1

Whole numbers that are positive or negative and includes 0

Question 2

Which statement is false?

The product of two positive integers is a positive integer
The product of two negative interferes is a positive integer
The product of a positive integer and a negative integer is a positive integer

Answer 2

The third is false.. it is a negative integer

Question 3

When integers are multiplied, each of the multiplied integers is called a ___

Answer 3

Factor or divisor

Question 4

What is the least common multiple?

Answer 4

It is the least positive integer that is a multiple of two separate numbers. For example. The least common multiple of 30 and 75 is 150

Question 5

What is the greatest common divisor?

Answer 5

The greatest positive integer that is a divisor of two separate numbers. For example, the greatest common divisor of 30 and 75 is 15.

Question 6

What is -32 divided by 3 in terms of quotient and remainders?

Answer 6

Quotient -11 remainder 1

Question 7

True or false, the product of two odd integers is an odd integer

Answer 7

True

Question 8

what is a prime number?

Answer 8

An integer greater than 1 that has only two positive divisors: 1 and itself

Question 9

What are the first 10 prime numbers?

Answer 9

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Question 10

What is prime factorization?

Answer 10

Every integer greater than 1 that is not a prime number can be expressed as a product of factors that are prime numbers (prime divisors)

(2)(2)(7) = 28

Question 11

True or false… all integers are rational numbers but not all rational numbers are integers

Answer 11

True

Rational numbers are fractions

Question 12

True or false… -c/d, c/-d and -(c/d) are all equivalent

Answer 12

True

Question 13

A negative number raised to an even power is always ___. A negative number raised to an odd number is always ____

Answer 13

Positive

Negative

Question 14

What is the difference between (-3)^2 and -3^2?

Answer 14

(-3)^2 = 9

-3^2 = -9

Question 15

What is 0^0?

Answer 15

Undefined

Question 16

What is x^0?

Answer 16

1

Question 17

What are negative exponents?

Answer 17

They are the reciprocal number. For example 3^-2 = 1/3^2 = 1/9

Question 18

True or false… all positive numbers have two square roots

Answer 18

True.

4 and -4 are the square roots of 16

Question 19

Why does the square root of 18 over the square root of two = 3?

Answer 19

It equals the square root of (18/2) which is the square root of (9/1) = 3

Question 20

For odd order roots there are exactly ___ root(s) for every number, even when n is ____

Answer 20

1

Negative

Question 21

For even order roots there are exactly ___ root(s) for every ___ positive number and ___ roots for any negative number

Answer 21

2
Positive

No

Question 22

True or false… negative numbers cannot have even ordered roots

Answer 22

True, because it would make it positive

Question 23

What are irrational numbers?

Answer 23

Numbers with decimals that do not terminate nor repeat

Question 24

What are real numbers?

Answer 24

All rational and all irrational numbers

Question 25

What is an interval?

Answer 25

Set of all real numbers that are between two points on a number line

Question 26

What is the triangle inequality?

Answer 26

|r+s| is less than or equal to |r| + |s|

Question 27

What is a proportion?

Answer 27

An equation relating two ratios

Question 28

How do you solve a problem involving ratios?

Answer 28

Write it as a proportion and solve it by cross multiplication

Question 29

15 is 60% of what number?

Answer 29

15/x = 60/100 or 0.6x=15

Question 30

With percent increase and decrease, what number is the base?

Answer 30

The initial number before the change

Question 31

What is the degree for the term -7xy^3?

Answer 31

4. X^1 and Y^3. 1+3 = 4