Question

A student wrote that there are two terms in the expression 9p - (6-8q). Complete the explanation of the student's error. and The terms are the expression. in the expression, so there are (select) terms in

Answer 1

The student's error is in correctly identifying the terms in the expression, as 6-8q should be simplified to -8q+6. The correct terms are 9p, 8q, and -6.

Step-by-step explanation:

The student's error is in correctly identifying the terms in the expression. In the expression 9p - (6-8q), there are two sets of parentheses enclosing expressions. To correctly identify the terms, we need to simplify the expression first by performing the operations within the parentheses.

Simplifying 6-8q, we get -8q+6. Substituting this simplified expression back into the original expression, we have 9p - (-8q+6). Using the distributive property, we distribute the negative sign to each term inside the parentheses, resulting in 9p + 8q - 6.

Now, we have three terms in the expression: 9p, 8q, and -6. Therefore, the student's error is in incorrectly identifying the terms as (6-8q) instead of -6.