Factoring and Distributive Property

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

Simplify: 8x - 6x + 4 + 5

Back

2x + 9

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Simplify: 2x + 3x - 4x + 2 + 5 + 2

Back

x + 9

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is an unlike term?

Back

Unlike terms are terms that have different variables or powers. For example, 3x and 4y are unlike terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.

Front

What is the result of factoring the expression x^2 - 9?

Back

(x - 3)(x + 3) - This is a difference of squares.

Front

What is the coefficient in the term 7x?

Back

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