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The problem displayed on the screen asks to complete the sentence about a property of equality and to identify which property is being discussed. The sentence given is:

"If equals are \_\_\_ equals, the results are \_\_\_: If \( a = b \), then \( a - c = b - c \)."

This sentence is describing the **Subtraction Property of Equality**. This property states that if two expressions are equal, then subtracting the same value from both sides of the equation will not change the equality. Thus, the complete sentence should be:

"If equals are subtracted from equals, the results are equal."

So the correct answer is:
A) subtracted from: equal: Subtraction Property

Would you like to explore this concept further or have any other questions on this topic? Here are some follow-up options:

1. How does the Subtraction Property of Equality apply to solving linear equations?
2. Can this property be used in reverse to add the same value to both sides of an equation?
3. What are other properties of equality similar to this one?
4. How can misapplication of this property lead to errors in solving equations?
5. Why is it important to maintain the balance on both sides of an equation?

**Tip:** Always verify each step when solving equations by substituting the found values back into the original equations to check correctness.

Complete this sentence with the best of the choices given. Also, tell which property is being discussed. If equals are ______ equals, the results are _______: If a = b, then a - c = b - c.

Explore the Subtraction Property of Equality, which explains that if two values are equal, subtracting the same amount from both sides will keep the equation balanced. A detailed breakdown suitable for students in Grades 6-8.

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