Combine 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

Identify the like terms in the expression: 5x + 3y + 5 + 4x + 3y + y + 8.

Back

The like terms are 5x and 4x (for x terms), and 3y, 3y, and y (for y terms).

Front

What is the result of combining the like terms in the expression: 5x + 4x?

Back

The result is 9x.

Front

How do you combine the like terms in the expression: 3x + 2x + 3y - 7y?

Back

Combine 3x and 2x to get 5x, and combine 3y and -7y to get -4y, resulting in 5x - 4y.

Front

What is the simplified form of the expression: 2x + 1 + 7x?

Back

The simplified form is 9x + 1.

Front

In the expression 3 + 5x + 8 - 2x, how do you combine like terms?

Back

Combine 5x and -2x to get 3x, and combine 3 and 8 to get 11, resulting in 11 + 3x.

Front

What are the steps to simplify the expression: 5a + 2b - 7b + 4a?

Back

Combine 5a and 4a to get 9a, and combine 2b and -7b to get -5b, resulting in 9a - 5b.

Front

What is a coefficient in an algebraic expression?

Back

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

Front

How do you identify like terms in an expression?

Back

Like terms can be identified by looking for terms that have the same variable(s) raised to the same power.

Front

What is the importance of combining like terms in algebra?

Back

Combining like terms simplifies expressions, making them easier to work with and solve.