Math Test Chapter 2 Flashcards

1
Q

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

A

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

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2
Q

What is the word definition of Whole Numbers?

A

Natural numbers plus zero

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3
Q

What is the word definition of Integers?

A

Whole numbers and their opposites

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4
Q

What is the word definition of Real Numbers?

A

All numbers

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5
Q

What is zero? ( Positive or Negative )

A

Neither, zero is not positive or negative

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6
Q

What is absolute value?

A

A numbers distance from zero

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7
Q

What are opposites?

A

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

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8
Q

What is the word definition of Rational Numbers?

A

Rational numbers can be written as the quotient of two integers

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9
Q

What can Rational Numbers be?

A

Terminating or Repeating

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9
Q

What is the word definition of Irrational Numbers?

A

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

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9
Q

What can Irrational Numbers be?

A

Non-repeating

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9
Q

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

A

Commutative Property of Addition

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9
Q

What is the word definition of Commutative Property of Addition?

A

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

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9
Q

What is the word definition of Associative Property of Addition?

A

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

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9
Q

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

A

Associative Property of Addition

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10
Q

What property is this problem?
a + 0 = a

A

Identity Property of Addition

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10
Q

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

A

Zero Property of Addition

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10
Q

What is the word definition of Zero Property of Addition?

A

The sum of a number and its opposite is zero

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10
Q

What is the word definition of Identity Property of Addition?

A

The sum of a number and 0 is the number

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11
Q

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

A

Commutative Property of Multiplication

12
Q

What is the word definition of Commutative Property of Multiplication?

A

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

13
Q

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

A

Associative Property of Multiplication

14
Q

What is the word definition of Associative Property of Multiplication?

A

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

15
Q

What property is this problem?
1 x a = a

A

Identity Property of Multiplication

16
Q

What is the word definition of Identity Property of Multiplication?

A

The product of a number and one is the number

17
Q

What property is this problem?
a x 0 = 0

A

Zero Property of Multiplication

18
Q

What is the word definition of Zero Property of Multiplication?

A

The product of a number and zero is zero

19
Q

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

A

Inverse Property of Multiplication OR Multiplication Property of Opposites

20
Q

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

A

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

21
Q

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

A

The quotient is zero

22
Q

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

A

It is not possible

23
Q

What is the formula for distance?

A

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

24
Q

What is the formula for velocity?

A

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

25
Q

What are Terms of an Expression?

A

Terms of an Expression are separated by addition signs

26
Q

What are Like or Similar Terms?

A

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

27
Q

What is a Term?

A

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

28
Q

What is a Coefficient?

A

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

29
Q

What is a Constant Term?

A

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

30
Q

What is a matrix?

A

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

31
Q

Matrix Size.

A

rows x # columns

32
Q

What is the word definition of Scalar Multiplication?

A

Multiply each element in matrix by the real number outside

33
Q

What do you need to know about Adding Matrix?

A

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

34
Q

What do you need to know about Subtracting Matrix?

A

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

35
Q

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

A

Distributive Property

36
Q

What is the word definition of Distributive Property?

A

Multiply what is outside the parenthesis by everything inside the parenthesis

37
Q

What is an example of an Simplified Expression?

A

6x - 18

38
Q

What does it mean to Evaluate?

A

To figure out the number that the variable is

39
Q

What is a Counter example?

A

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

40
Q

What is the Reciprocal word definition?

A

The product of any number and its reciprocal is one