Equivalent expressions are expressions that are the same, even though they may look a little different. If you plug in the same variable value into equivalent expressions, they will each give you the same value when you simplify. Learn about equivalent expressions, properties of equivalent expressions and methods to write equivalent expressions with the help of resources on this page.
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The Distributive property. Adam has two rectangles with the same height and he wants to know the total area of these two rectangles. He can calculate this in two different ways. Adam can either calculate the areas separately and then add the two areas.
The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses. Take a look at the problem below. 2(3 + 6)
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. According to this property, you can add the numbers and then multiply by 3. 3(10 + 2) = 3(12) = 36.
Rewrite the expression 20(9 – 2) using the distributive property of multiplication over subtraction. Then simplify. In the original expression, the 9 and the 2 are grouped in parentheses. Using arrows, you can see how the 20 is distributed to each number so that the 9 and 2 are both multiplied by 20 individually.
