If the expression is x + 3x + 4, what is the simplified form?

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Multiple Choice

If the expression is x + 3x + 4, what is the simplified form?

Explanation:
To simplify the expression \( x + 3x + 4 \), we focus on combining like terms. The terms \( x \) and \( 3x \) are like terms because they both contain the variable \( x \). When you combine \( x \) and \( 3x \), you add their coefficients. The coefficient of \( x \) is 1 (since there is no number written in front of it), and the coefficient of \( 3x \) is 3. Thus, you compute: \[ 1x + 3x = (1 + 3)x = 4x. \] After combining the like terms, we also include the constant term, which is 4. Therefore, the simplified expression becomes: \[ 4x + 4. \] Thus, the correct simplified form of the expression \( x + 3x + 4 \) is \( 4x + 4 \).

To simplify the expression ( x + 3x + 4 ), we focus on combining like terms. The terms ( x ) and ( 3x ) are like terms because they both contain the variable ( x ).

When you combine ( x ) and ( 3x ), you add their coefficients. The coefficient of ( x ) is 1 (since there is no number written in front of it), and the coefficient of ( 3x ) is 3. Thus, you compute:

[

1x + 3x = (1 + 3)x = 4x.

]

After combining the like terms, we also include the constant term, which is 4. Therefore, the simplified expression becomes:

[

4x + 4.

]

Thus, the correct simplified form of the expression ( x + 3x + 4 ) is ( 4x + 4 ).

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