https://file.aiquickdraw.com/mathbot/file/1727052518231pejkmjnv.jpg

The problem shows the equation:

### Original Equation:
\[
4x - 3 = 4
\]

### First Step:
\[
4x = 7
\]

The question asks which property justifies Carmen's first step.

### Explanation:
To go from \( 4x - 3 = 4 \) to \( 4x = 7 \), 3 was added to both sides of the equation. This action is justified by the **Addition Property of Equality**, which states that if you add the same number to both sides of an equation, the equality remains true.

Therefore, the correct answer is **addition property of equality**.

Would you like more details or have any questions about this concept?

### Here are 5 related questions for further practice:
1. How does the Subtraction Property of Equality work in solving equations?
2. When would you use the Multiplication Property of Equality in solving an equation?
3. What is the purpose of the Distributive Property in algebraic expressions?
4. How does the Associative Property of Addition differ from the Associative Property of Multiplication?
5. Can you provide an example of the Distributive Property over Addition?

### Tip:
Always remember that the goal of using these properties is to maintain the balance of the equation while isolating the variable.

When solving an equation, Carmen's first step is shown below. Which property justifies Carmen's first step?
Original Equation: 4x - 3 = 4
First Step: 4x = 7

Explore how to solve the linear equation 4x - 3 = 4 by applying the Addition Property of Equality. Learn step-by-step how to justify each step in solving equations. This concept is fundamental in Algebra and suitable for students in Grades 6-8.

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