Questions and Answers
What are opposites?
Two numbers with different signs that have the same absolute value.
What is an expression?
A combination of numbers (and variables) with add, subtract, multiply and divide.
What is a solution in algebra?
A value for the variable that makes the equation true.
What defines whole numbers?
Signup and view all the answers
What is a constant?
Signup and view all the answers
What is absolute value?
Signup and view all the answers
What is a radicand?
Signup and view all the answers
What are integers?
Signup and view all the answers
What is the order of operations?
Signup and view all the answers
What does it mean if a number is irrational?
Signup and view all the answers
A( b + c ) = ____________
Signup and view all the answers
What are natural numbers?
Signup and view all the answers
What does it mean to simplify an expression?
Signup and view all the answers
What are rational numbers?
Signup and view all the answers
What is a base in exponential expressions?
Signup and view all the answers
What is an equation?
Signup and view all the answers
What does it mean to evaluate an expression?
Signup and view all the answers
3 is the ___________ ____________ of 9.
Signup and view all the answers
What is a coefficient?
Signup and view all the answers
What defines real numbers?
Signup and view all the answers
What are like terms?
Signup and view all the answers
What is a variable?
Signup and view all the answers
What is a term?
Signup and view all the answers
What is an exponent?
Signup and view all the answers
What are multiplicative inverses?
Signup and view all the answers
What does difference refer to in mathematics?
Signup and view all the answers
What does product refer to in mathematics?
Signup and view all the answers
What does quotient refer to in mathematics?
Signup and view all the answers
Study Notes
Algebra Fundamentals
- Opposites: Two numbers with different signs, possessing equal absolute values.
- Whole Numbers: Include 0 and all positive integers (0, 1, 2, 3...).
- Natural Numbers: Positive integers also referred to as counting numbers (1, 2, 3...).
Algebraic Expressions
- Expression: A combination of numbers and variables involving addition, subtraction, multiplication, and division.
- Term: A single mathematical component, like a number, variable, or a product of both.
- Coefficient: The numerical factor associated with a term in an expression.
Equations and Solutions
- Solution: A specific value assigned to a variable that satisfies an equation.
- Equation: A mathematical statement asserting that two expressions are equal.
Values and Operations
- Constant: A symbol representing a fixed number, unchanging within the context of an equation.
- Variable: A letter symbolizing one or more numerical values.
Properties and Processes
- Order of Operations: A mnemonic ("Please Excuse My Dear Aunt Sally") indicating the sequence to solve mathematical expressions.
- Distributive Property: The rule stating a(b + c) = ab + ac, which facilitates multiplication over addition.
- Simplifying: The process of eliminating grouping symbols and combining like terms to simplify an expression.
Numbers and Their Types
- Integers: All positive and negative whole numbers, including zero (..., -3, -2, -1, 0, 1, 2, 3, ...).
- Rational Numbers: Numbers expressible as a fraction of integers.
- Irrational Numbers: Cannot be represented as fractions; non-repeating, non-terminating decimals.
- Real Numbers: The complete set encompassing both rational and irrational numbers.
Functionality
- Absolute Value: Represents the distance of a number from zero on a number line, regardless of direction.
- Radicand: The value located inside a radical sign in square roots and higher roots.
- Square Root: The value that, when multiplied by itself, yields the original number.
Operations and Their Results
- Difference: The result from the operation of subtraction.
- Product: The result obtained from multiplication.
- Quotient: The outcome of division.
- Multiplicative Inverse: Two numbers whose multiplication yields one; also known as reciprocals.
Exponents
- Base: The repeated factor in exponential expressions.
- Exponent: Indicates how many times a base is multiplied by itself.
Term Relationships
- Like Terms: Terms that share the same variable raised to the same exponent, making them combinable in expressions.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge with these algebra flashcards focusing on key vocabulary. Understand terms like 'opposites', 'expression', and 'solution' that are fundamental in algebra. Perfect for students learning the basics of algebraic concepts.