Algebra Keywords Flashcards

Questions and Answers

What is an equation?

An equation that results in a practical real-life solution.

A mathematical sentence without an equal sign.

An equation that is true for every value.

A mathematical statement that two expressions are equal. (correct)

What is the definition of an expression?

A mathematical sentence without an equal sign.

What is a formula?

An equation that results in a practical real-life solution.

Define an identity in mathematics.

An equation that is true for every value. Signup and view all the answers

What does it mean to simplify an expression?

To write an expression in the smallest way possible. Signup and view all the answers

What does it mean to solve an equation?

To find a value for a variable. Signup and view all the answers

In the expression 3x + 2, what is the variable?

x Signup and view all the answers

What does substitute mean in mathematics?

To put a number in place of a variable. Signup and view all the answers

What is a constant in an expression?

A value that doesn't change. Signup and view all the answers

Study Notes

Algebra Keywords

Equation: A statement that asserts the equality of two expressions. Essential for solving mathematical problems.
Expression: A combination of numbers, variables, and operators without an equal sign. Represents a value but does not compare like an equation does.
Formula: A specific type of equation that provides a method for calculating a value in real-world applications. Example: Area of a rectangle—A = w × l.
Identity: A specific type of equation that is true for all possible values. It emphasizes the concept of equality across the entire set of numbers.
Simplify: The process of transforming an expression into its most concise form, reducing complexity while maintaining equality.
Solve: The act of determining the value of a variable that satisfies an equation or expression. Critical for finding solutions in algebra.
Variable: A symbol, often represented by letters like x, that can take on different values within an equation or expression. Example: In the expression 3x + 2, x is the variable.
Substitute: The method of replacing a variable with a specific number in an expression or equation, allowing for computation or simplification.
Constant: A fixed value that does not change within an equation or expression. In the expression 3x + 2, the number 2 is a constant; in πr², π serves as a constant.

Description

Test your knowledge of key algebraic terms with these flashcards. Each card presents a crucial concept, from equations to identities, that are foundational in algebra. Perfect for reviewing essential vocabulary needed for mastering algebra.