Expanding and Factoring Expressions Practice

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

Expand and simplify: -4(2h + 3)

Back

-8h - 12

Front

Is the following expression expanded correctly or incorrectly?: 10 (x - 5) = 10x - 50

Back

Yes, this is right!

Front

Expand and simplify: -5 + 2(1 + 3x)

Back

-3 + 6x

Front

Use the distributive property to simplify: -2(6n + 3)

Back

-12n - 6

Front

Factor the expression: -8x - 10

Back

-2(4x + 5)

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

Expand and simplify: 3(x + 4) - 2(x - 1)

Back

x + 14

Front

What is the result of expanding: 5(2y - 3)?

Back

10y - 15

Front

What is the first step in factoring the expression: 12x + 8?

Back

Find the greatest common factor (GCF), which is 4, and factor it out: 4(3x + 2).