1. Complete each statement.
a) For the addition property of equality: "If the same number is ______________________ to both sides of an equation, the result is an equivalent equation."
b) For the multiplication property of equality: "If both sides of an equation are _____________________ by the same non-zero number, the result is an equivalent equation."


Let's complete each statement:

a) For the addition property of equality: "If the same number is **added** to both sides of an equation, the result is an equivalent equation."

b) For the multiplication property of equality: "If both sides of an equation are **multiplied** by the same non-zero number, the result is an equivalent equation."

Would you like more details on these properties or have any questions?

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### Related Questions:

1. How does the subtraction property of equality work in solving equations?
2. Why is it important to use a non-zero number in the multiplication property of equality?
3. Can the division property of equality also yield an equivalent equation, and how?
4. How can these properties be used to isolate variables in an equation?
5. What is an example where both the addition and multiplication properties of equality are applied together?

### Tip:
When solving equations, always perform the same operation on both sides to maintain equality.

1. Complete each statement.
a) For the addition property of equality: "If the same number is ______________________ to both sides of an equation, the result is an equivalent equation."
b) For the multiplication property of equality: "If both sides of an equation are _____________________ by the same non-zero number, the result is an equivalent equation."

Explore the addition and multiplication properties of equality in algebra. Learn how adding or multiplying both sides of an equation by the same number yields an equivalent equation. Ideal for middle school students learning foundational algebra concepts.

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