Properties of Equations

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.

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What is the Subtraction Property of Equality?

Back

The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

Front

What is the first step to solve the equation 4x + 8 = 0?

Back

Subtract 8 from both sides to isolate the term with x.

Front

What is the Substitution Property of Equality?

Back

The Substitution Property of Equality states that if two values are equal, one can be substituted for the other in any expression.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the value of that number.

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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. (a + b = b + a)

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What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. (a + (b + c) = (a + b) + c)

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What is the Multiplication Property of Zero?

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The Multiplication Property of Zero states that any number multiplied by zero equals zero.

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What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there exists a number -a such that a + (-a) = 0.

Front

What is the Commutative Property of Multiplication?

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The Commutative Property of Multiplication states that changing the order of the factors does not change the product. (a × b = b × a)