Algebraic properties

Front

What is the Division Property of Equality?

Back

If a = b, then a/c = b/c for any non-zero c. Example: If 2x = 14, then x = 14/2 = 7.

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any c. Example: If x - 3 = 6, then x = 6 + 3 = 9.

Front

What is the Subtraction Property of Equality?

Back

If a = b, then a - c = b - c for any c. Example: If x + 4 = 10, then x = 10 - 4 = 6.

Front

What is the Multiplication Property of Equality?

Back

If a = b, then a * c = b * c for any c. Example: If x/3 = 5, then x = 5 * 3 = 15.

Front

What is the purpose of the Addition Property of Equality?

Back

To isolate a variable by adding the same value to both sides of an equation.

Front

What is the purpose of the Subtraction Property of Equality?

Back

To isolate a variable by subtracting the same value from both sides of an equation.

Front

What is the purpose of the Multiplication Property of Equality?

Back

To isolate a variable by multiplying both sides of an equation by the same non-zero value.

Front

What is the purpose of the Division Property of Equality?

Back

To isolate a variable by dividing both sides of an equation by the same non-zero value.

Front

If 7m = 35, what property allows us to write 7m + 4 = 35 + 4?

Back

Addition Property of Equality.

Front

If y - 3 = 6, what property is used to solve for y?

Back

Addition Property of Equality (add 3 to both sides).