Algebra 1 EOC

Algebraic Base

The number or variable raised to a power

Compound Inequality

Two inequality statements combined into one using the words AND or OR.

Domain

The complete list of x-values of a relation or function

Irrational Number

Numbers that can not be represented as a fraction such as radicals and pi

Evaluate

Use order of operations to find the value of the expression

Polynomial

The sum or difference of two or more monomials

Absolute Value

A number's distance from zero

Line of Best Fit

A line drawn on a scatterplot to best represent a set of data

Quadrant

Any of the four regions formed by the coordinate system

Y-intercept

The value of y where a graph crosses the y-axis

Arithmetic Sequence

An ordered list of numbers that increase or decrease at a constant value

Slope

The change in y divided by the change in x; variable m

Rule

A mathematical expression that describes a pattern

Extrapolate

To estimate a value or quantity beyond the known range of data

Perpendicular Slopes

Slopes that are opposite reciprocals

Factoring

Writing an algebraic expression as a product of two expressions

System of Linear Equations

Two or more linear equations with no common, one common or infinitely many common solutions

Range

A complete set of y-values of a function

Extraneous Solution

Math Solutions not necessary to solve the problem

Associative Property

Adding or Multiplying values or algebraic expressions in any order:

(A + B) + C = A + (B + C)

Commutative Property

Flipping a product or sum does not effect the value of the expression:

A * D = D * A

Difference

Answer to Subtraction

Point-Slope Form

Y - Y1 = m (X - X1)

Union of Sets

The set of elements which are in set A or in Set B or in both sets.

A U B

Venn Diagram

A diagram that shows relationships among sets of objects

Quotient

Answer to Division

Distributive Property

The product of a number and the sum or difference of two numbers is equal to the sum or difference of the two products.

A(B + C) = AB + AC

Order of Operations

PEMDAS: Parenthesis, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right

Complement of a Set A

Denoted by ~A. The set of all elements that are not in set A.

Coordinate Plane

x and y axis that are used to display functions and data

Literal Equation

An equation involving two or more variables

Whole Numbers

{0,1,2,3,4,…..}

Proportion

A mathematical equation that says two ratios are equal.

Identity Property

A number added with 0 is equal to the number. 4 + 0 = 4

Inverse Operation

An operation that undoes a previously applied operation. Subtraction is the inverse of Addition

Quadratic Equation

A polynomial equation what has a variable raised to the second power and no higher

Relation

A set of ordered pairs

Divisor

The number by which another number is divided.

Binomial

Polynomial with two terms

Equivalent Expressions

two expressions that have the same value written differently

Function

a relation where every x is paired with only one y

Axis of Symmetry

Vertical line that cuts parabola into two equal pieces

-b/2a

X-coordinate of the vertex of a parabola

Rate

ratio that compares two quantities of different units

Rate of Change

ratio of one quantity to the change in another quantity

Real Number

Any number, decimal, fraction or radical

Radical

Symbol used for square roots and other roots

Variable

Symbol used to describe unknown value

Transformation

Reflections, Translations (slides), Stretches of a function

Estimation

the use of rounding or other strategies to determine a reasonable approximation without calculating the actual answer

Coefficient

The number that multiplies the variable(s) in an algebraic expression. If no number is present, the coefficient is one

Subset

A set in which the members are all contained in another set

Slope-intercept form of a line

y = mx + b

Intersection

The point at which two functions meet

Integers

{….-4,-3,-2,-1,0,1,2,3,4,…….}

Inequality Rule

When multiplying or dividing by a negative, switch the inequality symbol.

Exponent

Power

Pattern

A predictable sequence of numbers, objects, etc.

Product

Answer to multiplication

Linear Inequality

Lines that are dashed/solid with shading

Natural Number

{1,2,3,4,5,……}

Negative Exponent

designates reciprocal of a number or expression

Origin

(0,0)

Slopes of Parallel Lines

same slopes

Similar Figures

Figures that have corresponding sides that are proportional in length

Rationalize

Write an equivalent expression without a radical sign in the denominator

Rational Number

Number that can be represented as a fraction.

Rational Expression

Algebraic expression that can be represented as a fraction where the numerator and denominator are polynomials