Equivalent Expressions & Properties

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

Give an example of the Distributive Property.

Back

4(2a + 7) = 8a + 28.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which you add or multiply numbers does not change the result. For example, a + b = b + a.

Front

Give an example of the Commutative Property.

Back

3 + x = x + 3.

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped when adding or multiplying does not change the result. For example, (a + b) + c = a + (b + c).

Front

Give an example of the Associative Property.

Back

(y + 2) + 4 = y + (2 + 4).

Front

What is the Inverse Property?

Back

The Inverse Property states that for every number, there is an opposite number that, when added together, equals zero. For example, a + (-a) = 0.

Front

What is the Identity Property?

Back

The Identity Property states that adding zero to a number does not change the number. For example, a + 0 = a.

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even though they may look different.

Front

Simplify the expression: 8(6x - 4).

Back

48x - 32.