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The Language of Algebra Flashcards

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Questions and Answers

What are variables?

Symbols or letters used to represent an unknown number.

What is an algebraic expression?

Consists of one or more numbers and variables along with one or more arithmetic operations.

What are factors?

Quantities being multiplied together to get a product.

What is a product?

The answer to a multiplication problem. Signup and view all the answers

What is a quotient?

The answer to a division problem. Signup and view all the answers

What is a sum?

The answer to an addition problem. Signup and view all the answers

What is a difference?

The answer to a subtraction problem. Signup and view all the answers

What does it mean to evaluate?

To solve for a value. Signup and view all the answers

What is an open sentence in mathematics?

A mathematical statement with one or more variables. Signup and view all the answers

What does solving the open sentence mean?

The process of finding a value for a variable that results in a true statement. Signup and view all the answers

Study Notes

Language of Algebra

Variables: Symbols or letters representing unknown numbers.
Algebraic Expression: Comprises one or more numbers and variables, combined with arithmetic operations.

Mathematical Operations

Factors: The quantities that are multiplied together to yield a product.
Product: The result obtained from multiplying numbers or variables.
Quotient: The result of a division operation.
Sum: The result of an addition operation.
Difference: The result obtained from a subtraction operation.

Evaluating Algebraic Concepts

Evaluate: The process of determining the value of an algebraic expression by solving for variables.
Open Sentence: A mathematical proposition containing one or more variables, for which the truth value can vary based on variable values.

Solving for Variables

Solving the Open Sentence: Involves identifying a variable's value that satisfies the equation, resulting in a true mathematical statement.

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Description

This quiz focuses on fundamental algebra concepts through flashcards. Each card presents essential terms like variables, algebraic expressions, factors, and products, along with their definitions. Test your understanding of these key algebraic language components!