Lesson 3-7 Flashcard

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 5 = 5 + 3.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that the sum of any number and zero is that number. For example, n + 0 = n.

Front

How can you express 4n in terms of addition?

Back

4n can be expressed as n + n + n + n.

Front

What is an equivalent expression for 15x + 9?

Back

An equivalent expression is 9 + 15x, using the Commutative Property of Addition.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.

Front

What is the value of n + n + n + n when n = 2?

Back

When n = 2, n + n + n + n = 2 + 2 + 2 + 2 = 8.

Front

If a = 3, what is the value of 2a + 4?

Back

If a = 3, then 2a + 4 = 2(3) + 4 = 6 + 4 = 10.

Front

What is the result of 5 + 7 and 7 + 5?

Back

Both expressions equal 12, demonstrating the Commutative Property of Addition.

Front

What is the Distributive Property used for?

Back

The Distributive Property is used to simplify expressions and solve equations by distributing multiplication over addition.