6th Grade Milestones - Factoring Using 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

How do you factor an expression using the GCF?

Back

To factor an expression using the Greatest Common Factor (GCF), identify the largest factor that divides all terms in the expression, then divide each term by the GCF and write the expression as GCF multiplied by the resulting expression.

Front

Factor 3x + 27

Back

3(x + 9)

Front

Factor 7x + 21 using the GCF

Back

7(x + 3)

Front

Factor 10x + 70

Back

10(x + 7)

Front

Which expression is equivalent to 10x - 8?

Back

2(5x - 4)

Front

Factor 8x - 10

Back

2(4x - 5)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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

What is the difference between factoring and expanding?

Back

Factoring is breaking down an expression into its factors, while expanding is multiplying out the factors to get the original expression.