Questions and Answers
What is the definition of absolute value?
What is the additive identity?
0
What is the additive inverse?
The opposite or negative of a number
What is an algebraic expression?
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What does the associative property state?
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What is the base in an exponential expression?
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What is a coefficient?
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What does the commutative property state?
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What is a constant?
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What is the distributive property?
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What does it mean to evaluate an expression?
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What is an exponent?
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What is an expression?
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What is an integer?
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What is an irrational number?
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What are like terms?
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What is the multiplicative inverse?
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What is a natural number?
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What is a rational number?
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What is substitution in algebra?
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What is a term in mathematics?
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What is a whole number?
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Study Notes
Algebra Foundations Vocabulary
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Absolute Value: Represents the distance of a number from zero on the number line, regardless of direction.
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Additive Identity: The number zero; adding it to any real number does not change the value of that number.
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Additive Inverse: The inverse of a number that results in zero when added; for example, the additive inverse of 5 is -5.
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Algebraic Expression: A combination of numbers, variables, and arithmetic operations, but does not have an equality sign.
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Associative Property: States that the way numbers are grouped in addition or multiplication does not affect the outcome, e.g., (a + b) + c = a + (b + c).
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Base: In an exponential expression, the base is the number that gets multiplied by itself.
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Coefficient: A constant factor that multiplies a variable in a term; for instance, in 3x, 3 is the coefficient.
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Commutative Property: Indicates that the order of addition or multiplication does not alter the result, e.g., a + b = b + a.
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Constant: A specific numeric value that does not change; can be a standalone term without variables.
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Distributive Property: Shows how to multiply a single term by terms in parentheses, expressed as a(b + c) = ab + ac.
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Evaluate: The process of calculating the numerical value of an expression.
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Exponent: The superscript indicating how many times the base is multiplied by itself; for example, in x^3, 3 is the exponent.
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Expression: A mathematical phrase composed of numbers, variables, and operators, but lacking an equality statement.
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Integer: Any whole number, including negatives, zero, and positive numbers, forming a complete set: {..., -3, -2, -1, 0, 1, 2, 3, ...}.
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Irrational Number: A number that cannot be expressed as a simple fraction; it has a non-repeating, non-terminating decimal (e.g., π or √2).
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Like Terms: Terms that share the same variables raised to identical powers; they can be combined in algebraic expressions.
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Multiplicative Inverse: The reciprocal of a number; for any number x, the multiplicative inverse is 1/x, and their product equals one (1).
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Natural Number: Positive integers beginning from one onward, used primarily for counting: 1, 2, 3, ...
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Rational Number: Any number that can be expressed as a fraction, where both numerator and denominator are integers, and the denominator is not zero.
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Substitution: The process of replacing a variable with its equivalent value in an equation or expression.
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Term: The individual components of an expression that can be a number, a variable, or a product of both.
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Whole Number: A number in the set that includes zero and all natural numbers, defined as non-negative integers.
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Test your knowledge of essential algebra vocabulary terms with this quiz. Learn about concepts such as absolute value, additive identity, and more to strengthen your algebra skills. Perfect for students looking to solidify their understanding of foundational algebra terminology.