Podcast
Questions and Answers
What is a mathematical quantity?
What is a mathematical quantity?
- A fixed number
- A type of variable quantity
- Anything that can be measured or counted (correct)
- A value that cannot be measured
What is a variable in algebra?
What is a variable in algebra?
A symbol that represents the value of a variable quantity.
What is an algebraic expression?
What is an algebraic expression?
- A numerical operation
- A mathematical phrase including only numbers
- A fixed quantity
- A phrase that is mathematically based including one or more variables (correct)
What does a numerical expression include?
What does a numerical expression include?
What does 'power' refer to in Algebra?
What does 'power' refer to in Algebra?
What is the base in a power expression?
What is the base in a power expression?
What does the exponent indicate?
What does the exponent indicate?
What does it mean to simplify a numerical expression?
What does it mean to simplify a numerical expression?
What are the rules of the Order of Operations?
What are the rules of the Order of Operations?
What does PEMDAS stand for?
What does PEMDAS stand for?
What does it mean to evaluate an algebraic expression?
What does it mean to evaluate an algebraic expression?
What is a square root?
What is a square root?
What is the principal square root?
What is the principal square root?
What is a radicand?
What is a radicand?
Study Notes
Mathematical Terminology
- A mathematical quantity can be measured or counted; includes constant and variable quantities.
- A variable represents a value using a symbol, often a letter.
- An algebraic expression comprises one or more variables and denotes a mathematical phrase.
- A numerical expression includes numbers and operations like addition or subtraction, without any variables.
Power and Its Components
- Power indicates how many times a number (base) is multiplied by itself; includes base and exponent.
- The base is the number being multiplied, while the exponent specifies how many times to use the base as a factor.
Simplification and Operations
- Simplifying a numerical expression involves replacing it with its single numerical value for clarity.
- The order of operations (O.o.O) is crucial for determining the correct sequence to evaluate expressions.
- PEMDAS serves as a mnemonic:
- P = Parentheses
- E = Exponents
- M = Multiplication
- D = Division
- A = Addition
- S = Subtraction
- Follow operations left to right as they appear.
Evaluating Expressions
- To evaluate an algebraic expression, replace the variable with the given quantity.
Roots in Mathematics
- A square root of a number y is a number x where x² = y; example: 6 is the square root of 36.
- The principal square root, indicated by the radical symbol √, represents the nonnegative square root of a number.
- The term radicand refers to the expression under the radical symbol in a square root.
Studying That Suits You
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Description
Test your understanding of essential algebraic terms with these flashcards. This quiz covers important definitions such as mathematical quantity, variable, and algebraic expression to strengthen your foundational knowledge in Algebra I.
