Cook:Grade 7:Dist Prop & 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

Simplify: 3(9 + 2d) + 4d

Back

27 + 10d

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

Simplify: 7 - 8c + 3 - 6c

Back

10 - 14c

Front

What is combining like terms?

Back

Combining like terms is the process of adding or subtracting terms that have the same variable and exponent to simplify an expression.

Front

Simplify: -3(x - 4) + 3(a - 6)

Back

-3x + 3a - 6

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and applying the distributive property.

Front

Simplify: -n - 5(-6 - 7n)

Back

34n + 30

Front

What is the coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

Simplify: 5(-8n + 5) - 4n

Back

-44n + 25