Algebra 1 Midterm Study Guide
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associative property
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grouping property; (a+b)+c=a+(b+c) or (ab)c=a(bc)
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real numbers
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all rational and irrational numbers
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commutative property
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order property; a+b=b+a or ab = ba
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difference
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answer to a subtraction problem
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distributive property
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a(b+c)=ab+ac
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evaluate
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substituting a value for a variable
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zero property
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x O always equals zero
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identity property
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+ O or x 1 won't change the value
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rational number
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can be written as a fraction
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integers
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whole numbers and their opposites
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irrational number
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can't be expressed as a fraction
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algebraic expression
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contains variables, numbers and operations
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numerical expression
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contains numbers and operations
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order of operations
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PEMDAS
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whole numbers
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set of natural numbers and O
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sum
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answer to an addition problem
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product
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answer to a mulitplication problem
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quotient
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answer to a division problem
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simplify
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combining like terms
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equation
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mathematical sentence that contains an equals sign
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absolute value
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distance from zero on a number line
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linear equation
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an equation that graphs as a straight line on a coordinate plane
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rate
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a ratio of two quantities measured in different units Ex: mph, m/s
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variable
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a letter used to represent an unknown number
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like terms
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terms in an algebraic expression that have the same variable
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proper fraction
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a fraction whose numerator is less than the denominator
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improper fraction
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a fraction whose numerator is greater than or equal to the denominator
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slope intercept form
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a linear equation in the form y=mx+b
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slope
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rise /run -> a ratio that measures the steepness of a line
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Commutative Property of Addition
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a+b=b+a
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Commutative Property of Multiplication
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ab=ba
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Associative Property of Addition
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(a+b)+c = a+(b+c)
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Associative Property of Multiplication
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(ab)c=a(bc)
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Distributive Property of Multiplication with Addition
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a(b+c)=ab+ac
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Additive Identity Property
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a+0=a
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Multiplicative Identity Property
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a*1=a
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Additive Inverse Property
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a+(-a)=0
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Multiplicative Inverse Property
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a/b*b/a=1
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Zero Product Property
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If ab=0, then a=0 or b=0 or both=0
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Arithmetic Sequences
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an = a1 + (n - 1)d
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Standard Form
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Ax + By= C
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Point-Slope Form
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y-y1 =m(x-x1)
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Slope-Intercept Form
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y= mx + b
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Slope Formula
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y2 - y1 m= --------- x2 - x1
