Math Test Chapter 2

Question 1

What are the sets of numbers? Provide examples of each.

Answer 1

Natural Numbers: 1,2,3…
Whole Numbers: 0,1,2,3…
Integers: …-3,-2,-1,0,1,2,3…
Rational Numbers: 1/4,1.3,6 1/4,1…
Irrational Numbers: Pi, √2…
Real Numbers: All Numbers

Question 2

What is the word definition of Whole Numbers?

Answer 2

Natural numbers plus zero

Question 3

What is the word definition of Integers?

Answer 3

Whole numbers and their opposites

Question 4

What is the word definition of Real Numbers?

Answer 4

All numbers

Question 5

What is zero? ( Positive or Negative )

Answer 5

Neither, zero is not positive or negative

Question 6

What is absolute value?

Answer 6

A numbers distance from zero

Question 7

What are opposites?

Answer 7

Two numbers with the same distance from zero. on opposite sides of zero

Question 8

What is the word definition of Rational Numbers?

Answer 8

Rational numbers can be written as the quotient of two integers

Question 9

What can Rational Numbers be?

Answer 9

Terminating or Repeating

Question 9

What is the word definition of Irrational Numbers?

Answer 9

Irrational Numbers can’t be written as the quotient of two integers

Question 9

What can Irrational Numbers be?

Answer 9

Non-repeating

Question 9

What property is this problem?
a + b = b + a

Answer 9

Commutative Property of Addition

Question 9

What is the word definition of Commutative Property of Addition?

Answer 9

The order in which two numbers are added does not change the sum

Question 9

What is the word definition of Associative Property of Addition?

Answer 9

The way you group three numbers when adding does not change the sum

Question 9

What property is this problem?
( a + b ) + c = a + ( b + c )

Answer 9

Associative Property of Addition

Question 10

What property is this problem?
a + 0 = a

Answer 10

Identity Property of Addition

Question 10

What property is this problem?
a + ( - a ) = 0

Answer 10

Zero Property of Addition

Question 10

What is the word definition of Zero Property of Addition?

Answer 10

The sum of a number and its opposite is zero

Question 10

What is the word definition of Identity Property of Addition?

Answer 10

The sum of a number and 0 is the number

Question 11

What property is this problem?
a x b = b x a

Answer 11

Commutative Property of Multiplication

Question 12

What is the word definition of Commutative Property of Multiplication?

Answer 12

The order in which two number are multiplied does not change the product

Question 13

What property is this problem?
( a x b ) x c = a ( b x c )

Answer 13

Associative Property of Multiplication

Question 14

What is the word definition of Associative Property of Multiplication?

Answer 14

The way you group three numbers when multiplying does not change the product

Question 15

What property is this problem?
1 x a = a

Answer 15

Identity Property of Multiplication

Question 16

What is the word definition of Identity Property of Multiplication?

Answer 16

The product of a number and one is the number

Question 17

What property is this problem? a x 0 = 0

Answer 17

Zero Property of Multiplication

Question 18

What is the word definition of Zero Property of Multiplication?

Answer 18

The product of a number and zero is zero

Question 19

What property is this problem? -1 x a = -a

Answer 19

Inverse Property of Multiplication OR Multiplication Property of Opposites

Question 20

What is the word definition of Inverse Property of Multiplication OR Multiplication Property of Opposites?

Answer 20

The product of a number and negative one is the opposite of the number

Question 21

What does it mean if the zero is above a number?

Answer 21

The quotient is zero

Question 22

What does it mean if the zero is below a number?

Answer 22

It is not possible

Question 23

What is the formula for distance?

Answer 23

d = rt d = distance r = rate t = time

Question 24

What is the formula for velocity?

Answer 24

vd = vt vd= vertical displacement v = velocity t = time

Question 25

What are Terms of an Expression?

Answer 25

Terms of an Expression are separated by addition signs

Question 26

What are Like or Similar Terms?

Answer 26

Terms with the same variable or variables raised to the same power

Question 27

What is a Term?

Answer 27

A number, a variable, or the product of numbers and variables

Question 28

What is a Coefficient?

Answer 28

a number that is multiplied by a variable, they do not have to be Similar terms

Question 29

What is a Constant Term?

Answer 29

a term that does not have any variables in it, it can be a similar term

Question 30

What is a matrix?

Answer 30

A matrix is a rectangular arrangement of numbers into a horizontal rows and vertical columns

Question 31

Matrix Size.

Answer 31

rows x # columns

Question 32

What is the word definition of Scalar Multiplication?

Answer 32

Multiply each element in matrix by the real number outside

Question 33

What do you need to know about Adding Matrix?

Answer 33

You can only add matrices that are the same size and you have to add corresponding elements

Question 34

What do you need to know about Subtracting Matrix?

Answer 34

You can only subtract matrices that are the same size and you have to change subtraction sign to addition, change every element in second metrix to its opposite, then add

Question 35

What property is this problem? a ( b + c ) a x b + a x c

Answer 35

Distributive Property

Question 36

What is the word definition of Distributive Property?

Answer 36

Multiply what is outside the parenthesis by everything inside the parenthesis

Question 37

What is an example of an Simplified Expression?

Answer 37

6x - 18

Question 38

What does it mean to Evaluate?

Answer 38

To figure out the number that the variable is

Question 39

What is a Counter example?

Answer 39

It is an example to prove whether or not a statement is true or false

Question 40

What is the Reciprocal word definition?

Answer 40

The product of any number and its reciprocal is one