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Algebra Vocabulary
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An expression that includes at least one variable.
Algebraic Expression
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An expression that represents repeated multiplication of the same factor.
Power
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A fraction that compares two quantities measured in different units.
Rate
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A mathematical sentence formed by placing the symbol = between two expressions.
Equation
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A number substituted into a variable that makes the original statement true.
Solution
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An equation that relates two or more quantities.
Formula
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All positive and negative whole numbers, including zero.
Integer
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The distance between a number and zero on the number line.
Absolute Value
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Any number that can be written as a÷b in which b cannot equal zero.
Rational Number
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The set of all rational and irrational numbers.
Real Number
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Any real number written in front of a variable.
Coefficient
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Terms that have identical variable parts with corresponding variables raised to the same power.
Like Terms
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The positive value of a square root.
Principal Square Root
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Conditional Statement
Any sentence written in the form, if – then and has a hypothesis and conclusion. Conditional Statement
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An example to show than an if – then statement is false.
Counterexample
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A comparison of two quantities using division.
Ratio
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The number or expression inside a radical symbol.
Radicand
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A number that cannot be written as the quotient of two integers.
Irrational Number
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An equation that states two ratios are equal.
Proportion
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An equation that is true for all values of the variable.
Identity
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A mathematical sentence formed by placing one of the symbols <, ≤, > or ≥ between two expressions. Inequality
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Two inequalities joined by and or or.
Compound Inequality
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A compound inequality using the word and
Conjunction
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A compound inequality using the word or
Disjunction
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The sum of the values of a data set divided by the number of values.
Mean
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Absolute Value Equation
An equation that contains an absolute value expression. Absolute Value Equation
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The absolute value of the difference between an actual measurement and a given number; variance.
Absolute Deviation
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Absolute Value Inequality
An inequality that contains an absolute value expression. Absolute Value Inequality
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On a number line, the set of points that represent all solutions of the inequality.
Graph of an Inequality
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A pairing of elements of one set.
Relation
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The pair of elements in a relation that represent the input (x)
Domain
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The pair of elements in a relation that represent the output (y)
Range
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A relation in which each domain element there is exactly one range element (one-to-one correspondence) Function
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The input variable (x); also considered the domain.
Independent Variable
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The output variable (y); also considered the range.
Dependent Variable
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Standard Form A linear equation in the form
Ax + by = C; where A, B, C are real numbers and A & B are not zero. Standard Form
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The x-coordinate of a point where the graph crosses the x-axis.
X-intercept
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The y-coordinate of a point where the graph crosses the y-axis.
y-intercept
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The ratio of the vertical change (the rise) and horizontal change (the run) between two points on a line. Slope
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Compares the change in one quantity to a change in another quantity.
Rate of Change
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The form of an equation listed below:
y = mx + b Slope-Intercept Form
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Two lines, on the same plane, that never intersect and have the same slope.
Parallel lines
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The relationship of two variables x and y if there is a nonzero number k such that
y = kx. Direct Variation
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The nonzero number k in the equation y = kx, the equation of Direct Variation.
Constant of Variation
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The form of the equation:
Point-slope form
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A statement where the hypothesis and conclusion are reversed from a conditional statement.
Converse
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Two lines on the same plane who intersect to form a 90 degree angle.
Perpendicular Lines
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System of Linear Equations
Two or more linear equations in the same variable. System of Linear Equations
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Consistent Independent System
A linear system with exactly one solution. Consistent Independent System
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Consistent Dependent System
A linear system with infinitely many solutions. Consistent Dependent System
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A linear system with no solution.
Inconsistent System
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The power of ten nearest the quantity.
Order of Magnitude
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An expression that contains a radical, such as a square root, cube root or other root.
Radical Expression
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Rationalizing the Denominator
The process of eliminating the radical from the expression’s denominator by multiplying the expression by an appropriate form of one. Rationalizing the Denominator
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A number, a variable with a positive integer exponent or the product of a number and one or more variables with a positive integer exponent. Monomial
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Amonomial or a sum of monomials.
Polynomial
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The coefficient of the first term when a polynomial is written so that the exponents of a variable decrease from left to right. Leading Coefficient
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A value of the variable in a polynomial for which the corresponding polynomial is zero.
Root
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A model for the height of an object that is propelled into the air but has no power to keep itself in the air. Vertical Motion Model
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