If you have the expression 6p - 2p + 4p + 3, what is the simplified form?

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Multiple Choice

If you have the expression 6p - 2p + 4p + 3, what is the simplified form?

Explanation:
To simplify the expression \( 6p - 2p + 4p + 3 \), we first focus on identifying and combining the like terms. The like terms in this expression are those that contain the variable \( p \). 1. Start with the terms involving \( p \): - The first term is \( 6p \). - The second term is \( -2p \). - The third term is \( 4p \). 2. Combine these like terms: - \( 6p - 2p = 4p\). - Next, add \( 4p\) to this result: \( 4p + 4p = 8p\). 3. Then, we still have the constant term, which is \( 3 \). Thus, when we combine everything, we arrive at the simplified expression \( 8p + 3 \). Choosing the option that corresponds to this result confirms that \( 8p + 3 \) is indeed the correct simplified form of the original expression.

To simplify the expression ( 6p - 2p + 4p + 3 ), we first focus on identifying and combining the like terms. The like terms in this expression are those that contain the variable ( p ).

  1. Start with the terms involving ( p ):

  • The first term is ( 6p ).

  • The second term is ( -2p ).

  • The third term is ( 4p ).

  1. Combine these like terms:

  • ( 6p - 2p = 4p).

  • Next, add ( 4p) to this result: ( 4p + 4p = 8p).

  1. Then, we still have the constant term, which is ( 3 ).

Thus, when we combine everything, we arrive at the simplified expression ( 8p + 3 ).

Choosing the option that corresponds to this result confirms that ( 8p + 3 ) is indeed the correct simplified form of the original expression.

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