Simplify the expression: 6x - 3x + 2

Simplify the expression: 6x - 3x + 2

• A. 2x + 2
• B. 3x + 2
• C. 9x - 2
• D. x + 2

Answer: (B)

To simplify the expression \(6x - 3x + 2\), you first need to combine the like terms. The terms \(6x\) and \(-3x\) are both terms involving \(x\). When you combine these terms, you perform the subtraction: \[ 6x - 3x = 3x \] So, now the expression can be rewritten as: \[ 3x + 2 \] This shows that the simplified version of the original expression is \(3x + 2\). Therefore, among the options, this matches the correct answer. The other options do not represent the simplified form of the given expression. For instance, \(2x + 2\), \(9x - 2\), and \(x + 2\) have either incorrect coefficients for \(x\) or incorrect constant terms, making them not equivalent to the original expression once simplified.

To simplify the expression (6x - 3x + 2), you first need to combine the like terms. The terms (6x) and (-3x) are both terms involving (x).

When you combine these terms, you perform the subtraction:

[

6x - 3x = 3x

]

So, now the expression can be rewritten as:

[

3x + 2

]

This shows that the simplified version of the original expression is (3x + 2). Therefore, among the options, this matches the correct answer.

The other options do not represent the simplified form of the given expression. For instance, (2x + 2), (9x - 2), and (x + 2) have either incorrect coefficients for (x) or incorrect constant terms, making them not equivalent to the original expression once simplified.