Ch. 13 - Introduction to Algebra Flashcards

1
Q

Integers

A

All whole numbers and their opposites
Ex., … -2, -1, 0, 1, 2 …

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2
Q

Positive Integer

A

A whole number greater than zero

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3
Q

Negative Integer

A

A whole number less than zero

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4
Q

Absolute Value

A

The distance a number is from zero

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5
Q

Commutative Property

A

States that two numbers may be added or multiplied in either order

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6
Q

Commutative Property of Addition

A

a + b = b + a

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7
Q

Commutative Property of Multiplication

A

a · b = b · a

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8
Q

Associative Property

A

Allows you to add or multiply with different groupings ; the final answer does not change

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9
Q

Associative Property of Addition

A

( a + b ) + c = a + ( b + c )

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10
Q

Associative Property of Multiplication

A

(a · b ) · c = a · ( b · c )

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11
Q

Distributive Property

A

The product of a number and a sum:
a · ( b + c ) = ( a · b ) + ( a · c )
The product of a number and a difference:
a · ( b - c ) = ( a · b ) - ( a · c )

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12
Q

Variable

A

A symbol, usually a letter, that represents an unknown number

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13
Q

x-axis

A

The horizontal line on a grid that passes through the origin

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14
Q

y-axis

A

The vertical line on a grid that passes through the origin

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15
Q

Origin

A

The point on a grid with the coordinates (0, 0)

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16
Q

x-coordinate

A

The first number in an ordered pair describing the location of a point

17
Q

y-coordinate

A

The second number in an ordered pair describing the location of a point

18
Q

Ordered Pair

A

Two numbers that give the location of a point on a grid

19
Q

Equation

A

Two mathematical expressions separated by an equal sign

20
Q

Open Sentence

A

An equation with an unknown