Exploring the Properties of Equality

What is the addition property of equality?

• Dividing the same number to both sides of an equation keeps it equal.

• Adding the same number to both sides of an equation keeps it equal.

• Subtracting the same number from both sides of an equation keeps it equal.

• Multiplying the same number to both sides of an equation keeps it equal.

What is the result of 5 + 3 if you add 2 to both sides of the equation?

• 14

• 12

• 10

• 8

If you subtract the same number from both sides of an equation, which property of equality are you using?

• Addition property of equality

• Subtraction property of equality

• Division property of equality

• Multiplication property of equality

If you have 5 + 3 = 8 and subtract 2 from both sides, what is the new equation?

• 5 + 3 / 2 = 8 / 2

• 5 + 3 - 2 = 8 - 2

• 5 + 3 + 2 = 8 + 2

• 5 + 3 * 2 = 8 * 2

What must you do to both sides of an equation to maintain equality when using the multiplication property?

• Divide by the same number

• Multiply by the same number

• Subtract the same number

• Add the same number

In the multiplication property of equality, why must the original expression be in parentheses?

• To make the equation look neat

• To follow the order of operations (PEMDAS)

• To avoid confusion

• To simplify the equation

When using the division property of equality, what operation is performed on both sides of the equation?

• Addition

• Multiplication

• Subtraction

• Division

What is the result of 8 divided by 2 in the division property of equality?

• 8

• 4

• 2

• 6

Which property of equality is used if you start with 3 + 1 = 4 and then change it to 3 + 1 - 2 = 4 - 2?

• Multiplication property of equality

• Addition property of equality

• Division property of equality

• Subtraction property of equality

If you change 3 + 1 = 4 to 3 + 1 + 2 = 4 + 2, which property of equality is used?

• Addition property of equality

• Subtraction property of equality

• Multiplication property of equality

• Division property of equality