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Algebra Terms

AB
inequality symbols< and > are examples of these
compound inequalitiesinequalities with two possible solutions, joined by either and OR or
conjunction-2<x≤6 is an example
disjunctionx<-2 or x>6 is an example
coordinate planeincludes the x-axis, y-axis, origin, and four quadrants
x-axishorizontal axis
y-axisvertical axis
origin(0,0)
quadrant Ix coordinate and y coordinate are both positive
quadrant IIx coordinate is - and y coordinate is +
quadrant IIIx coordinate and y coordinate are both negative
quadrant IVx coordinate is + and y coordinate is -
quadrantone of the four regions of the coordinate plane
ordered pairdesignate a specific point on the coordinate plane
functionpasses the "vertical line" test
slope+ or - slant or steepness of a line
formula for calculating slope(y2-y1)/(x2-x1)
variableletter standing in for an unknown quantity
expressionterms connected with an operation, such as 2x-3
equationmathematical sentence connected with = symbol
natural numberscounting numbers, such as 1, 2, 3,...
whole numberscounting numbers, plus 0 (0, 1, 2, 3,...)
integers...-2, -1, 0, 1, 2,...
rational numbersnumber that can be expressed as a fraction (e.g. 2/7 or 8.222...)
irrational numbersnumber that cannot be expressed as a fraction (e.g. pi or square root of 10)
real numbersset of rational and irrational numbers
absolute valuedistance from 0; can never be negative
additive inverseThe __ of 4 is -4.
multiplicative inverseThe __ of 1/5 is 5.
reciprocalAnother word for multiplicative inverse
termselements of an expression; 3x + 5 has two __
constanta term that has no variable, such as 5 in 3x + 5
coefficient6 is the __ of the term 6x
like termsIn 3x + 4 -x, -x and 3x are __.
commutative property3+7=7+3
associative property2+(x+5)=(2+x)+5
additive identityAny number plus 0 equals the number.
multiplicative identityAny non-zero number times 1 equals the number.
symmetric propertyIf a=b, then b=a.
distributive property3(x-2)=3(x)+3(-2)
multiplicative property of 0Any number times 0 equals 0.
multiplicative property of -1-1 times n equals -n
solutionvalue (or values) that make an equation or inequality true
equivalent expressionsexpressions with the same solution(s)
inverse operationsaddition undoes subtraction; division undoes multiplication
reflexive property8 = 8
y = mx + bslope-intercept form
Ax + By = Cstandard form
transitiveIf x=y and y=z then x=z.
substitutionplug in one equivalent value for another
vertical line testIf a vertical line crosses a graph in more than one place, the graph does NOT represent a function
x-interceptpoint at which a graph hits the x-axis
y-interceptpoint at which a graph hits the y axis


Math Teacher
Hiram W. Johnson High School
Sacramento, CA

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