A plane that is divided into four regions by a horizontal line called the x-axis and a vertical line called the y-axis.
aka "the Cartesian plane" after René Descartes
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linear equation
Front
an equation whose answers are ordered pairs (x,y) and whose answers graph a straight line
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additive inverse property
Front
The sum of a number and its opposite is zero.
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associative property of addition
Front
changing the grouping of terms will not change the sum, (a + b) + c = a + (b + c)
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y-intercept
Front
the point where a graph crosses the y-axis
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Slope Intercept Form
Front
y= mx + b
where "m=slope" and "b=y-intercept"
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Inverse Operation
Front
operations that undo each other, such as addition and subtraction
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Slope Formula
Front
Slope=m= Y2 - Y1 / X2 - X1
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order of operations
Front
the order in which operations in an expression to be evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4. addition and subtraction
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constant
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a term that has no variable and does not change
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domain
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the set of all the input (x-values) for a function
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Solve for a variable
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To get a variable alone on one side of an equation or inequality in order to solve the equation or inequality
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Inequality
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A statement that compares two quantities using <, >, ≤,≥, or ≠
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equation
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a mathematical sentence with an equal sign that shows that two expressions are equivalent
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variable expression
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consists of numbers, variables, and operations
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solving an equation
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finding all the solutions of an equation
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ordered pair
Front
A pair of numbers, (x, y), that indicate the position of a point on a coordinate plane.
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variable
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a letter used to represent one or more numbers
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ratio
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a comparison of two numbers by division
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integers
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Positive and Negative Whole Numbers and 0. Examples: .... -3, -2, -1, 0, 1, 2, 3.....(Does not include fractions or decimals)
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rational number
Front
A number that can be written as a/b where a and b are integers, but b is not equal to 0.
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associative property of multiplication
Front
changing the grouping of factors will not change the product, (ab)c = a(bc)
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additive identity property
Front
The sum of a number and zero is always that number.
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range
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the set of all the output (y-values) for a function
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input
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the x-value in a function
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x-intercept
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the point where a graph crosses the x-axis
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reciprocal
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one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2
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Equivalent Equations
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equations that have the same solution
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perimeter
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The sum of the lengths of the sides of a polygon
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function
Front
a relation that assigns exactly one output value for each input value
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area
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the number of square units needed to cover a flat surface
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commutative property of multiplication
Front
the order of the factors does not change the product a x b = b x a
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terms
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in an expression are separated by addition and subtraction signs
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slope
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the steepness of a line on a graph, rise over run
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evaluate
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to find the value of an expression
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commutative property of addition
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In a sum, you can add terms in any order, a + b = b + a
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rate
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a ratio that compares two quantities measured in different units
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irrational number
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a number that can not be written a/b
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coefficient
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number in front of a variable
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quadrant
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one of four sections into which the coordinate plane is divided
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like terms
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terms that have identical variable parts raised to the same power
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output
Front
the y-value in a function
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base
Front
is the number that is repeatedly multiplied in a power
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multiplication identity property
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The product of any number and one is that number.
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exponent
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a mathematical notation indicating the number of times a quantity is multiplied by itself