Algebra Basics Flashcard Practice

Front

What is the process of simplifying an algebraic expression?

Back

The process of simplifying an algebraic expression involves combining like terms and performing any necessary arithmetic operations to reduce the expression to its simplest form.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power, and then add or subtract their coefficients.

Front

What does it mean to translate a phrase into an inequality?

Back

Translating a phrase into an inequality involves expressing a verbal statement about a relationship between quantities using inequality symbols (e.g., ≤, ≥, <, >).

Front

What is the significance of the inequality symbol '≤'?

Back

The symbol '≤' means 'less than or equal to,' indicating that a value can be either less than or exactly equal to another value.

Front

What does the inequality symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to,' indicating that a value can be either greater than or exactly equal to another value.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you apply the distributive property to simplify an expression?

Back

To apply the distributive property, multiply each term inside the parentheses by the factor outside the parentheses and then combine like terms.

Front

What is the first step in simplifying the expression (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)?

Back

The first step is to distribute the negative sign across the second set of parentheses, changing the signs of each term inside.

Front

What are like terms in the expression 4n^4 - 8n + 4 - 8n^2 - 4n^4 - 1?

Back

Like terms are terms that have the same variable raised to the same power. In this expression, 4n^4 and -4n^4 are like terms, as are -8n and -1.

Front

What is the result of combining like terms in the expression 4n^4 - 4n^4 - 8n^2 - 8n + 4 - 1?

Back

The result is -8n^2 - 8n + 3.