Properties of Numbers - Justifying Equations

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 does 'Combine Like Terms' mean?

Back

It refers to the process of simplifying an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 4x = 72. What property is used?

Back

Division Property of Equality: x = 72 / 4 = 18.

Front

Solve for x: 4x - 5 = 17. What property is used first?

Back

Addition Property of Equality: Add 5 to both sides to get 4x = 22.

Front

Which property justifies the step from Step 4 to Step 5 in an equation?

Back

Combine Like Terms: This property allows you to simplify expressions by combining terms.

Front

Which property justifies the step from Step 7 to the solution in an equation?

Back

Division Property of Equality: This property is used to isolate the variable.

Front

What is the purpose of the Addition Property of Equality in solving equations?

Back

To maintain equality while isolating the variable by adding the same value to both sides.