Algebra Vocabulary Flashcards

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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?

The set of numbers (0, 1, 2, 3...) Signup and view all the answers

What is a constant?

A symbol that represents only one number. Signup and view all the answers

What is absolute value?

The distance a number is from the origin on a number line. Signup and view all the answers

What is a radicand?

The number inside a radical sign. Signup and view all the answers

What are integers?

The set of numbers (...-3, -2, -1, 0, 1, 2, 3...) Signup and view all the answers

What is the order of operations?

Please excuse my dear Aunt Sally. Signup and view all the answers

What does it mean if a number is irrational?

Numbers that cannot be written as a ratio of integers. Signup and view all the answers

A( b + c ) = ____________

ab + ac Signup and view all the answers

What are natural numbers?

The set of numbers (1, 2, 3...), also called counting numbers. Signup and view all the answers

What does it mean to simplify an expression?

To clear all grouping symbols and combine like terms. Signup and view all the answers

What are rational numbers?

Numbers that can be written as a fraction of integers. Signup and view all the answers

What is a base in exponential expressions?

The number that is the repeated factor in an exponential expression. Signup and view all the answers

What is an equation?

A math sentence stating that two expressions are equal. Signup and view all the answers

What does it mean to evaluate an expression?

To find the numerical value of an expression. Signup and view all the answers

3 is the _ __ of 9.

square root Signup and view all the answers

What is a coefficient?

The numerical factor of a term. Signup and view all the answers

What defines real numbers?

The set of all rational and irrational numbers. Signup and view all the answers

What are like terms?

Terms that contain the same variable with the same exponents. Signup and view all the answers

What is a variable?

A letter that is used to represent more than one number. Signup and view all the answers

What is a term?

A number, variable, or a product of numbers and variables. Signup and view all the answers

What is an exponent?

The number that tells you how many times to repeat a factor. Signup and view all the answers

What are multiplicative inverses?

Two numbers whose product is one: Reciprocals. Signup and view all the answers

What does difference refer to in mathematics?

Subtract. Signup and view all the answers

What does product refer to in mathematics?

Multiply. Signup and view all the answers

What does quotient refer to in mathematics?

Divide. 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.

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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.