How do you combine the terms 6p - 2 + 4 - 3p?

How do you combine the terms 6p - 2 + 4 - 3p?

• A. 3p + 2
• B. 4p + 2
• C. 9p + 2
• D. 3p + 4

Answer: (A)

To combine the terms in the expression 6p - 2 + 4 - 3p, you first identify and group together like terms. The expression consists of two types of terms: those containing the variable 'p' (the coefficients of p) and those that are constant (the standalone numbers). 1. For the variable terms: - Start with 6p and -3p. - Combining these gives you (6p - 3p), which simplifies to 3p. 2. For the constants: - You have -2 and +4. - Combining these gives you (-2 + 4), which simplifies to 2. Now, putting the simplified variable and constant terms together gives you the final expression: 3p + 2. This process illustrates the importance of combining like terms carefully, ensuring that all coefficients for the same variable are added or subtracted appropriately, and that constant values are combined separately. Hence, the result of the combination in this case is accurately represented as 3p + 2.

To combine the terms in the expression 6p - 2 + 4 - 3p, you first identify and group together like terms.

The expression consists of two types of terms: those containing the variable 'p' (the coefficients of p) and those that are constant (the standalone numbers).

1. For the variable terms:

• Start with 6p and -3p.

• Combining these gives you (6p - 3p), which simplifies to 3p.

2. For the constants:

• You have -2 and +4.

• Combining these gives you (-2 + 4), which simplifies to 2.

Now, putting the simplified variable and constant terms together gives you the final expression: 3p + 2.

This process illustrates the importance of combining like terms carefully, ensuring that all coefficients for the same variable are added or subtracted appropriately, and that constant values are combined separately. Hence, the result of the combination in this case is accurately represented as 3p + 2.