Combining Like Terms

Front

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

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

Identify the like terms in the expression: 3x + 5x + 2y.

Back

The like terms are 3x and 5x.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

How do you simplify the expression: 4a + 3b - 2a + 5b?

Back

Combine like terms: (4a - 2a) + (3b + 5b) = 2a + 8b.

Front

What is the result of simplifying the expression: 6m - 2 + 4m + 3?

Back

The result is 10m + 1.

Front

How many terms are in the expression: 9x - 4y + 7 + 2x?

Back

There are 4 terms: 9x, -4y, 7, and 2x.

Front

What is the simplified form of the expression: 5x + 2 - 3x + 4?

Back

The simplified form is 2x + 6.

Front

What are the steps to combine like terms?

Back

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

Front

In the expression 2x + 3y - 4x + 5y, what are the like terms?

Back

The like terms are 2x and -4x, and 3y and 5y.