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2(p + 1) + 8(p -1) = 5pWhat value of p is the solution of the equation above?


Question

2(p + 1) + 8(p -1) = 5p

What value of p is the solution of the equation above?

This is a short or long answer (free choice) question. The student will not be provided with options and will be required to enter their answer in a provided field.

Any of the following can be considered correct answers to the question: 6/5, 1.2.

Explanation:

The correct answer is \(\frac{6}{5}\) , or 1.2. To solve the equation 2(p + 1) + 8(p − 1) = 5p, first distribute the terms outside the parentheses to the terms inside the parentheses: 2p + 2 + 8p − 8 = 5p. Next, combine like terms on the left side of the equal sign: 10p − 6 = 5p. Subtracting 10p from both sides yields −6 = −5p. Finally, dividing both sides by −5 gives p = \(\frac{6}{5}\) = 1.2. Either 6/5 or 1.2 can be gridded as the correct answer.


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