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sum

the answer when I add

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difference

the answer when I subtract

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product

the answer when I multiply

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quotient

the answer when I divide

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about

when you see this word in a problem, estimate!

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variable

a letter that stands for a mystery number

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expression

when we add, subtract, multiply, or divide. This can have numbers, variables, or both

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algebraic expression

an expression that has at least one variable

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numerical expression

an expression that has no variables

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Substitution Property of Equality

if two amounts are equal, I can replace one with the other

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evaluate

find the answer to an expression

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property

a statement that is true for any numbers

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Commutative Property

only works for adding and multiplying. The order of my numbers will not change the answer. (Remember: moving)

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Associative Property

only works for adding and multiplying. How the numbers are grouped does not change the answer. (Remember: who you are with)

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Additive Identity

when I add 0 to anything, I keep the same number

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Multiplicative Identity

when I multiply 1 by anything, I keep the same number

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Multiplicative Property of Zero

0 times anything is 0

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equation

a math sentence that has an equals sign

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open sentence

might or might not be true depending on what number we put in

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Symmetric Property

if one number equals a second number, the second number equals that first number

If a=b, b=a

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Transitive Property

if the first number equals the second number and the second number equals the third number, then the third number equals the first number

If a=b and b=c, then a=c

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coordinate plane

where we plot points. It has an x-axis and a y-axis

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x-axis

the horizontal (↔) number line on a graph

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y-axis

the vertical (↕) number line on a graph

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origin

the point where the x-axis and the y-axis intersect: (0,0)

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ordered pair

the numbers that tell me where a point is located on the graph

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x-coordinate

the first number in an ordered pair. Shows how far over the point is

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y-coordinate

the second point in an ordered pair. Shows how far up the point is

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relation

a set of ordered pairs

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domain

the x-coordinates in a relation

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range

the y-coordinates in a relation

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scatter plot

a graph where we plot ordered pairs on a coordinate plane

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positive relationship

as one thing goes up, the other goes up

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negative relationship

as one thing goes up, the other goes down

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no relationship

one does not affect the other

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