Simplifying Algebraic Expressions by Combining Like Terms

Front

What is a like term in algebra?

Back

A like term is a term that has the same variable raised to the same power. For example, 3xy and 5xy are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x + 2x = 5x.

Front

Simplify: 7xy + 2 - 3xy + 6 - 4

Back

4xy + 4

Front

Simplify: 4d + 2d - 6 - d

Back

5d - 6

Front

Simplify: 10n - 3n + 5 + 4n - 2

Back

11n + 3

Front

Simplify: 10a + 7 + 3a - 2

Back

13a + 5

Front

What is the coefficient in the term 5x?

Back

The coefficient is 5, which is the number multiplying the variable x.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Simplify: b + b + b + 5

Back

3b + 5

Front

What is the constant term in the expression 4x + 7?

Back

The constant term is 7, which does not change regardless of the value of x.