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Vocabulary and Properties

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Determine the word or phrase described in each slide

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The distance of a number from zero on a number line is called its

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Absolute value

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A mathematical phrase that can include numbers, variables, and operation symbols is known as an

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Algebraic expression

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The opposite of a number is known as its

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Additive inverse

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A power consists of two parts, a

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A base and an exponent

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A mathematical phrase involving numbers and operation symbols, but no variables is known as a

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Numerical expression

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The expression under a square root symbol is called the

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radicand

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Together, the radical symbol and the radicand are referred to as a

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radical

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A collection of objects is known as a

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set

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The set of numbers {1, 2, 3, 4, 5,... } is known as the set of

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Natural (or counting) numbers

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The set of numbers {0, 1, 2, 3,...} is known as the set of

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Whole numbers

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The set of numbers {..., -2, -1, 0, 1, 2,...} is known as the set of

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integers

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The numerical factor of a term is called a

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coefficient

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A term that has no variables is a

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constant

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Two number lines that intersect at right angles form a

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Coordinate plane

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The numbers in an ordered pair are called

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coordinates

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Any example that proves a statement false is a

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counterexample

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Reasoning logically from given facts to a conclusion is known as

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Deductive reasoning

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A mathematical sentence that uses an equal sign is an

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equation

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Two algebraic expressions that have the same value for all values of the variable(s) are called

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Equivalent expressions

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Any value of the variable that makes an equation true is called

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A solution of the equation

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A solution of an equation containing two variables x and y is

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An ordered pair of numbers

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The process of reaching a conclusion based on an observed pattern is called

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Inductive reasoning

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Substituting a given number for each variable in an algebraic expression is called

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Evaluating the expression

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A mathematical sentence that compares values of two expressions using symbols such as is called an

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inequality

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Terms that have exactly the same variable factors are called

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Like (or similar) terms

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Another name for the multiplicative inverse of a number is

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reciprocal

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An equation that contains one or more variables is an

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Open sentence

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Numbers the same distance from zero on a number line are called

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opposites

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The x and y axes divide the coordinate plane into four sections called

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quadrants

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Any number that may be written as a fraction is called a

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Rational number

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The set of rational numbers and irrational numbers make up the set of

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Real numbers

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Replacing a numerical expression with its simplest name is called

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Simplifying the expression

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In an algebraic expression, a number, variable, or the product of a number and one or more variables is called a

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term

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A symbol used to represent one or more numbers is called a

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variable

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Identify the following properties of real numbers

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a + b = b + a

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The Commutative Property of Addition

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(a + b) + c = a + (b + c)

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The Associative Property of Addition

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a + 0 = a

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The Identity Property of Addition

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a + (-a) = 0

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The Inverse Property of Addition

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a x b = b x a

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The Commutative Property of Multiplication

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(a b) c = a (b c)

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The Associative Property of Multiplication

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a x 1 = a

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The Identity Property of Multiplication

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a(1/a) = 1

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The Inverse Property of Multiplication

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a(b + c) = ab + ac

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The Distributive Property

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a x 0 = 0

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The Zero Property of Multiplication

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-1 x a = -a

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The Multiplication Property of -1

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