Distributive Property, Factoring and Combining Like Terms

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder. It is used to factor expressions.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is an example of combining like terms?

Back

In the expression 8x + 4y - 2x + 6y - 3, combine 8x and -2x to get 6x, and combine 4y and 6y to get 10y, resulting in 6x + 10y - 3.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, which can simplify the expression or make it easier to solve.

Front

What is the factored form of 42 + 54x?

Back

The factored form is 6(7 + 9x).

Front

What is the equivalent expression for 5(3x - 4)?

Back

The equivalent expression is 15x - 20.

Front

What is the result of simplifying 90m + 40 - 25 + 60n - 20m?

Back

The simplified expression is 70m + 60n + 15.

Front

What is the equivalent expression for 15 + 20y?

Back

The equivalent expression is 5(3 + 4y).

Front

What is a coefficient in an algebraic expression?

Back

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