4.6 Parts of an Algebraic Expression Day 2

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 4y + 2 + x, the constant is 2.

Front

How do you identify the number of terms in an algebraic expression?

Back

Count the number of separate parts in the expression. For example, in 3n + 5y + z, there are 3 terms: 3n, 5y, and z.

Front

What are variables in an algebraic expression?

Back

Variables are symbols that represent unknown values. In the expression 9m + 3n + 4, the variables are m and n.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a number that multiplies a variable. For example, in 5x, 5 is the coefficient of x.

Front

How do you find the constant in an algebraic expression?

Back

The constant is the term without a variable. For example, in 4y + 2, the constant is 2.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations. For example, 3x + 4 is an algebraic expression.

Front

What is the difference between a term and a factor?

Back

A term is a single part of an expression, while a factor is a number or variable that is multiplied. For example, in 3xy, 3, x, and y are factors, and 3xy is a term.

Front

How do you simplify an algebraic expression?

Back

To simplify, combine like terms and perform any operations. For example, 2x + 3x simplifies to 5x.

Front

What does it mean for terms to be 'like' terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the role of parentheses in algebraic expressions?

Back

Parentheses indicate which operations to perform first. For example, in (2 + 3)x, you add 2 and 3 before multiplying by x.