Ch 3.1: Algebraic Expressions Voc Flashcard...Part 1

Front

What are constants in an algebraic expression?

Back

Constants are fixed values that do not change. In the expression x - 53 - 4x - w + 6x + 8, the constants are -53 and 8.

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, in the pair 1 and 10, both are constant terms and are considered like terms.

Front

Identify the constant in the expression: 7x + 2y + 5.

Back

The constant is 5.

Front

Identify the constant in the expression: 7x + 3.

Back

The constant is 3.

Front

What makes an expression an algebraic expression?

Back

An expression is algebraic if it contains at least one variable. For example, 10d + 55 is an algebraic expression because it has the variable d.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value. For example, in the expression 5x, x is the variable.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. In the term 7x, 7 is the coefficient.

Front

What is the difference between a term and an expression?

Back

A term is a single mathematical entity (like 5x or 3), while an expression is a combination of terms (like 5x + 3).

Front

What are the steps to simplify an algebraic expression?

Back

1. Combine like terms. 2. Eliminate parentheses. 3. Simplify coefficients.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent. For example, 2x + 3x = 5x.