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Algebra Regents Review
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Terms in this set (32)
Variable
a letter or symbol representing a varying quantity
Coefficient
a number which multiplies a variable
Equation
a mathematical statement containing an equal sign
Expression
one or a group of terms and maybe include variables, constants and grouping symbols.
Inequality
when things are not equal
Rational Numbers
All integers, fractions, repeating decimals and terminating decimals
Irrational Numbers
A real number that can be written as a nonrepeating or nonterminating decimal.
Sum
The result of addition
Difference
The result of subtraction
Product
The result of multiplication
Quotient
The result of division
Linear Function
an equation who graph is a straight line. Has a constant rate of change
y = mx + b
Exponential Function
an equation that can increase (grow) or decrease (decay) very quickly
Quadratic Function
an equation who graph is a parabola
y = ax² + bx + c
Absolute Value Function
an equation who graph is v shaped
y = |x|
Square Root Function
an equation who graph is like a check shaped y = √x
Domain
x-values, also known as input
Range
y-values, also known as output
Whole Numbers
Counting numbers starting from 0
{0, 1, 2, 3...
Integers
a positive number, a negative number or zero but not a fraction or a decimal
{... -3, -2, -1, 0, 1, 2, 3 ...}
Function
when each input produces exactly one output, also known as x doesn't repeat and the graph passes the vertical line test
System of Equations
a collection of two equation where the solution is the point where the equations intersect
System of Inequalities
a collection of two inequalities where the solution is where the shaded areas intersect
Vertex
the minimum or maximum point on a parabola
Roots
x-intercepts or zeros of a quadratic equation
ax² + bx + c = 0
Axis of Symmetry
a vertical line that cuts the parabola down the middle. x =
Constant
a quantity having a fixed value that does not change, such as a number. Usually the initial value
Commutative Property
When adding or multiplying, numbers may be added or multiplied together in any order
a + b = b + a
Associative Property
When adding or multiplying, no matter how the number are grouped, the answer will always be the same.
(a + b) + c = a + (b + c)
Distributive Property
When multiplying a number is the same as multiplying its addends by the number then adding the products.
3 (x + 2) = 3x + 6
Quadratic Formula
completing the square
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