Simplifying Expressions

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, while 2x and 3y are not.

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, 4x + 2x = 6x.

Front

Simplify the expression: 4x^2 - 3x + 11 - 2x

Back

4x^2 - 5x + 11

Front

Simplify the expression: 5x - 20 - 3x + 10

Back

2x - 10

Front

What is the perimeter of a triangle with sides represented as expressions?

Back

The perimeter is the sum of the lengths of all sides. For example, if the sides are represented as 5x, 3x, and 4x, the perimeter is 12x.

Front

Simplify: 7y^2 - 5y + 9y - 5y^2

Back

2y^2 + 4y

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and group like terms together.

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

What is the coefficient in the term 3x^2?

Back

The coefficient is 3, which is the number multiplying the variable x^2.

Front

What is a constant term?

Back

A constant term is a term that does not contain any variables. For example, in the expression 4x + 5, the number 5 is a constant.