Expressions - Combining Like Terms, Expanding and Factoring

Front

What are coefficients in an expression?

Back

Coefficients are the numerical factors in front of the variables in an expression. For example, in the expression 3x + 4y, the coefficients are 3 and 4.

Front

Combine the like terms: 3x + 2x + 5y

Back

5x + 5y

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 2x are like terms.

Front

Factor the expression: 12x - 20

Back

4(3x - 5)

Front

Identify the constants in the expression: 2x + 4y + 3 + 2x + 6

Back

3 and 6

Front

What is the process of expanding an expression?

Back

Expanding an expression involves distributing a factor across terms inside parentheses. For example, expanding 2(x + 3) gives 2x + 6.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable parts to simplify an expression.

Front

Expand the expression: 3(x + 4)

Back

3x + 12

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. In the expression 5x + 3, the constant is 3.

Front

Factor the expression: 15x + 10

Back

5(3x + 2)