Algebraic Expressions: Combining Like Terms

Front

What are 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, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, in the expression 3x + 5x, you combine them to get 8x.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in the term 4x, 4 is the coefficient.

Front

How many terms are in the expression 3x + 4y - 5 + 2?

Back

There are 4 terms in the expression: 3x, 4y, -5, and 2.

Front

Simplify the expression: 2a + 3b - a + 4.

Back

The simplified expression is: a + 3b + 4.

Front

What is the result of combining the like terms: 5m + 2m - 3m?

Back

The result is 4m.

Front

Identify the coefficients in the expression: 7x - 2y + 3.

Back

The coefficients are 7 and -2.

Front

Simplify the expression: 4x + 2y - 3x + 5.

Back

The simplified expression is: x + 2y + 5.

Front

What is the simplified form of: 6a + 4b - 2a + 3b?

Back

The simplified form is: 4a + 7b.

Front

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

Back

Count each distinct term separated by + or - signs. For example, in 2x - 3 + 4y, there are 3 terms.