Combing Like terms

Front

What does it mean to combine like terms in an algebraic expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is a term in algebra?

Back

A term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.

Front

How do you simplify the expression 3b + b - 2b?

Back

You combine like terms to get 2b.

Front

What is the result of simplifying the expression 5x + 3y + 5 + 4x + 3y + y + 8?

Back

The result is 9x + 7y + 13.

Front

What is the process of simplifying the expression 5a + 2b - 3a + 4?

Back

You combine like terms to get 2a + 2b + 4.

Front

What are the steps to combine like terms in an expression?

Back

1. Identify like terms. 2. Add or subtract the coefficients of like terms. 3. Write the simplified expression.

Front

Can constants be combined with variables when simplifying expressions?

Back

No, constants cannot be combined with variables; they are separate terms.

Front

What is the difference between a variable and a constant in algebra?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value.

Front

What does the expression 9m + 3n + 4 represent in terms of its components?

Back

It consists of two variables (m and n) and a constant (4), with 9 and 3 being coefficients.