Properties of Equality

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.

Tags

CCSS.HSA.REI.A.1

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.

Tags

CCSS.HSA.REI.A.1

Front

Example of Subtraction Property of Equality: 25 + d = 36. What happens when we subtract 25 from both sides?

Back

25 + d - 25 = 36 - 25, which simplifies to d = 11.

Tags

CCSS.6.EE.B.7

Front

Example of Addition Property of Equality: y - 12 = 30. What happens when we add 12 to both sides?

Back

y - 12 + 12 = 30 + 12, which simplifies to y = 42.

Tags

CCSS.6.EE.B.7

Front

What is the Multiplication Property of Equality?

Back

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

Tags

CCSS.HSA.REI.A.1

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.

Tags

CCSS.HSA.REI.A.1

Front

Example of Multiplication Property of Equality: 3x = 12. What happens when we multiply both sides by 2?

Back

3x * 2 = 12 * 2, which simplifies to 6x = 24.

Tags

CCSS.HSA.REI.A.1

Front

Example of Division Property of Equality: 8y = 32. What happens when we divide both sides by 8?

Back

8y / 8 = 32 / 8, which simplifies to y = 4.

Tags

CCSS.HSA.REI.A.1

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Tags

CCSS.6.EE.A.2C

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side and all other terms are on the other side.

Tags

CCSS.7.EE.B.4A