Math Problem Statement
Solution
The exercise involves matching the property of equality with the corresponding example. Here's the correct matching based on the provided examples:
-
Subtraction Property of Equality:
(This shows subtraction on both sides of the equation.) -
Addition Property of Equality:
(This demonstrates adding a value to both sides.) -
Division Property of Equality:
(This shows dividing both sides of an equation by the same number.) -
Multiplication Property of Equality:
(This illustrates multiplying both sides by the same factor.)
Would you like further explanations or have additional questions?
Here are 5 related questions to expand your understanding:
- Can you provide an example of the distributive property?
- What happens when a property of equality is not applied correctly?
- How does the multiplication property differ from the division property?
- Can properties of equality be combined in one equation?
- How are these properties used in solving multi-step equations?
Tip: Always check the operation performed on both sides of the equation to identify the correct property of equality.
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Math Problem Analysis
Mathematical Concepts
Properties of Equality
Linear Equations
Algebra
Formulas
Subtraction Property of Equality: a = b implies a - c = b - c
Addition Property of Equality: a = b implies a + c = b + c
Division Property of Equality: a = b implies a / c = b / c, where c ≠ 0
Multiplication Property of Equality: a = b implies a * c = b * c
Theorems
Equality Properties
Suitable Grade Level
Grades 8-10
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