Justify steps using properties

Front

What is the Addition Property of Equality?

Back

If you add the same number to both sides of an equation, the two sides remain equal.

Front

What is the Subtraction Property of Equality?

Back

If you subtract the same number from both sides of an equation, the two sides remain equal.

Front

What is the Multiplication Property of Equality?

Back

If you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

Front

What is the Division Property of Equality?

Back

If you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the Identity Property of Addition?

Back

The sum of any number and zero is that number (a + 0 = a).

Front

What is the Additive Inverse Property?

Back

For every number a, there is a number -a such that a + (-a) = 0.

Front

How do you apply the Addition Property of Equality?

Back

To solve an equation, add the same value to both sides to isolate the variable.

Front

How do you apply the Subtraction Property of Equality?

Back

To solve an equation, subtract the same value from both sides to isolate the variable.

Front

How do you apply the Multiplication Property of Equality?

Back

To solve an equation, multiply both sides by the same non-zero value to isolate the variable.