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Algebra 1 REVIEW{REGENTS REVIEW}
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Terms in this set (37)
Irrational Numbers
*decimals do not end or repeat
*square roots that are not perfect squares
*π (pi)
Rational Number
*Decimals end or repeat
*fractions that do not have a denominator of 0
*integers
Integers
positive or negative, and 0
Whole numbers
{0,1,2,3,4,...}
Absolute Value
number's distance from zero (on the number line).
Order of Operations
PEMDAS
*Parentheses
Exponents
Multiplication or Division (working from left to right)
* Addition or Division (working from left to right)
Commutative Property of Addition
a+b=b+a
Commutative Property of Multiplicatio
a
b=b
a
Associative Property of Addition
(a + b) + c = a + (b + c)
Associative Property of Multiplication
(ab)c = a(bc)
Distributive Property
a(b + c) = ab + ac
Addition clue words
*plus
*added to
*increased by
*sum
*more than
*total
*exceeded by
Subtraction clue words
*minus
*decreased by
*diminished by
*reduced by
*difference
*less than(switch order)
*subtracted from(switch order)
Multiplication clue words
*times
*product
*of
*multiplied by
Division clue words
*divided by
*quotient
monomial
A monomial is a single algebraic term.
Coefficient
number before a variable
domain
input values, x values,
range
output values, y values
algebraic expression
An algebraic expression has a variable and no equal sign or inequality.
true sentence
a true sentence states that one side of the equation is true when compared to the other side.
*equal/true
Set notation
The set of all x's such that x...
{x | x ...}
*set of numbers
What is the difference between parenthesis and brackets? [interval notation]
parenthesis do not include the end numbers
brackets include the end numbers
Ex:2≤ x < 10 → [2,10)
empty set
{ } or ∅-no solutions.
Like terms
expressions that have the same variable and the same exponent.
literal equation
equation that contains more than one variable
*solve for indicated variable regularly
Consecutive Integers Let Statements
*Let x = 1st consecutive integer
*Let x + 1 = 2nd consecutive integer
*Let x + 2 = 3rd consecutive integer
Consecutive Even or Odd Integers Let Statements
*Let x = 1st consecutive even or odd integer
*Let x + 2 = 2nd consecutive even or odd integer
* Let x + 4 = 3rd consecutive even or odd integer
Inequality Symbols
*< means less than
> means greater than
≥ means greater than or equal to
*≤ means less than or equal to
*****The inequalities > or < will have open circles when graphed on number line
******The inequalities ≥ or ≤ will have filled in circles
Interval Notation for infinity
negative infinity -∞ or positive infinity ∞ are always in parenthesis
When is a fraction undefined?
when the denominator equals 0!!!!!
Zero Product Property
a · b = 0, then either a = 0 or b = 0 for their product to equal zero.
function
each x-value has only one and ONLY one y value
Linear Function
y = mx + b
Quadratic Function
y = ax^2 + bx + c
Absolute Value Function
y = | x |
Exponential Function
y = ab^x
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