Questions and Answers
What is a quantity?
What represents one or more values of a quantity that changes?
variable
What is an algebraic expression?
Mathematical phrase that includes one or more variables
What defines a numerical expression?
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What is a power in mathematics?
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What does an exponent signify?
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What is the base in an expression?
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What does it mean to simplify something in mathematics?
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What does it mean to evaluate an expression?
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What is a square root?
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What is a radicand?
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What is a radical expression?
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What defines a perfect square?
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What is a set in mathematics?
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What is an element of a set?
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What is a subset?
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What are rational numbers?
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What constitutes natural numbers?
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What are whole numbers?
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What are integers?
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What are irrational numbers?
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What are real numbers?
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What is an inequality?
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What is absolute value?
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What are opposites in terms of integers?
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What are additive inverses?
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What is a multiplicative inverse?
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What are reciprocal numbers?
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What does the Distributive Property state?
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What is a term in algebra?
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What is a constant?
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What is a coefficient?
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What are like terms?
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Study Notes
Algebra Foundations
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Quantity: Represents the amount of something.
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Variable: A letter symbolizing one or more changing values of a quantity.
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Algebraic Expression: A mathematical phrase that consists of one or more variables.
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Numerical Expression: A mathematical phrase containing only numbers and operation symbols, devoid of variables.
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Power: Represents a number expressed with a base and an exponent.
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Exponent: Indicates the power to which a number is raised, shown as a superscript.
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Base: The number that is raised to a power in an exponentiation.
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Simplify: The process of putting expressions into their simplest form for easier manipulation.
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Evaluate: Determining the numerical value of an expression.
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Square Root: A value that, when multiplied by itself, yields the original number (e.g., √16 = 4).
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Radicand: The value under a radical symbol that is being evaluated.
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Radical: An expression that involves roots, such as square roots or cube roots.
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Perfect Square: A number with an integer as its square root (e.g., 25 has a square root of 5).
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Set: A defined collection of distinct objects.
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Element of a Set: An individual object or item contained within a set.
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Subset: A set containing some or all elements from another set.
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Rational Numbers: Numbers that can be expressed as a fraction (a/b) where both a and b are integers, and b is not zero.
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Natural Numbers: Whole numbers starting from 1, including no fractions or negatives.
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Whole Numbers: The set of numbers starting from 0 and including positive integers with no fractions or decimals.
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Integers: A set that includes whole numbers and their negative counterparts.
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Irrational Numbers: Numbers that cannot be expressed as fractions.
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Real Numbers: The complete set including natural numbers, whole numbers, integers, rational, and irrational numbers.
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Inequality: A mathematical statement indicating that two values are not equal.
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Absolute Value: The distance of a number from zero on the number line.
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Opposites: Integers that are equidistant from zero but located on opposite sides of the number line.
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Additive Inverses: A pair of numbers that are opposites and together total to zero.
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Multiplicative Inverse: The reciprocal of a number.
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Reciprocal: The result of flipping the numerator and denominator of a fraction, resulting in a product of 1.
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Distributive Property: States that multiplying a number by an addition of numbers is equivalent to multiplying separately and then adding (e.g., a(b + c) = ab + ac).
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Term: Can be a number, variable, or the product of a number and one or more variables.
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Constant: A value that remains fixed.
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Coefficient: A numerical factor that multiplies a variable in an algebraic term.
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Like Terms: Terms that have the same variable parts (including exponents), allowing them to be combined.
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Test your understanding of foundational algebra terms with these flashcards. Learn key concepts such as quantity, variable, algebraic expression, and numerical expression to strengthen your algebra skills. This quiz is helpful for students beginning their algebra journey.