Podcast
Questions and Answers
What does the exponent in an expression indicate?
What does the exponent in an expression indicate?
What is the term for a number that appears beneath the exponent?
What is the term for a number that appears beneath the exponent?
Base
Define an exponential expression.
Define an exponential expression.
An expression that involves an exponent.
What does PEMDAS stand for?
What does PEMDAS stand for?
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What are variables?
What are variables?
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What separates terms in algebraic expressions?
What separates terms in algebraic expressions?
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What are coefficients?
What are coefficients?
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What are like terms?
What are like terms?
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What is the distributive property?
What is the distributive property?
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What are radical expressions?
What are radical expressions?
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What are radicands?
What are radicands?
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What is a radical in mathematics?
What is a radical in mathematics?
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Study Notes
Algebraic Properties and Expressions
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Exponent: Indicates how many times to multiply the base by itself. Example: In 2^3, the exponent is 3, so 2 * 2 * 2 = 8.
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Base: The main number in an exponential expression that is raised to a power. Example: In 2^3, the base is 2.
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Exponential Expression: Contains an exponent and may include variables. Example: 4x^3 translates to 4 * x * x * x.
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PEMDAS: Acronym for the order of operations:
- P: Parentheses
- E: Exponent
- MD: Multiply/Divide
- AS: Add/Subtract
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Variables: Symbols (often lowercase, italicized) representing unknown or changeable values. Example: In 4x - 5y = 9, x and y are variables.
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Terms: Components of algebraic expressions separated by + or - signs, which may include numbers, variables, or both. Example: In 5x^2 + 2x + 7, the terms are 5x^2, 2x, and 7.
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Algebraic Expressions: Mathematical phrases that include one or more variables. A numerical expression contains no variables. Example: p - 4 is an algebraic expression with variable p.
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Coefficients: Numbers that multiply the variables in a term. Example: In -7x, -7 is the coefficient; in y, the coefficient is 1.
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Like Terms: Terms that share the same variable and exponent. Example: 5ab and -22ab are like terms; 8x^2 and 6x are not due to differing exponents.
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Distributive Property: Allows multiplication over addition or subtraction; if a, b, and c are expressions, then a(b + c) = ab + ac. Example: 5(x + 2) = 5x + 10.
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Radical Expressions: Math expressions containing radical signs (sqrt) indicating roots.
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Radicands: The numbers found under the radical sign in radical expressions.
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Radical: Symbol (√) representing square roots or (ⁿ√) for nth roots. Example: √3 indicates the square root of 3, approximately equal to 1.732.
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Test your knowledge of algebraic properties and expressions with these flashcards. Each card features key terms such as exponent and base, along with their definitions and examples. Perfect for students needing a quick review or preparation for exams.
