What is the simplified form of 5x + 7 - 2x + 3?

What is the simplified form of 5x + 7 - 2x + 3?

• A. 3x + 10
• B. 5x + 10
• C. 7x + 10
• D. 2x + 10

Answer: (A)

To simplify the expression \(5x + 7 - 2x + 3\), the first step is to combine like terms. Like terms are terms that have the same variable raised to the same power. 1. Start by identifying the like terms in the expression: - For the variable terms: \(5x\) and \(-2x\) - For the constant terms: \(7\) and \(3\) 2. Combine the variable terms: \[ 5x - 2x = 3x \] 3. Combine the constant terms: \[ 7 + 3 = 10 \] 4. Now that both parts have been simplified, combine them into a single expression: \[ 3x + 10 \] This gives us the simplified form \(3x + 10\). Therefore, the correct answer is indeed the option that states \(3x + 10\). This process demonstrates the importance of grouping and correctly adding both the coefficients of terms with the same variables and the numerical constants to achieve a simplified expression.

To simplify the expression (5x + 7 - 2x + 3), the first step is to combine like terms. Like terms are terms that have the same variable raised to the same power.

1. Start by identifying the like terms in the expression:

• For the variable terms: (5x) and (-2x)

• For the constant terms: (7) and (3)

2. Combine the variable terms:

[

5x - 2x = 3x

]

3. Combine the constant terms:

[

7 + 3 = 10

]

4. Now that both parts have been simplified, combine them into a single expression:

[

3x + 10

]

This gives us the simplified form (3x + 10). Therefore, the correct answer is indeed the option that states (3x + 10). This process demonstrates the importance of grouping and correctly adding both the coefficients of terms with the same variables and the numerical constants to achieve a simplified expression.