Question

Kayden made a mistake while solving an equation. his work is shown. where did kayden make a mistake. in step 1 kayden did not mutpily both terms in parenthesses by 2. in step 2 kayden did not simplify 7p -2p correctly.

Answer 1

Kayden made a mistake in step 1 by not multiplying both terms in parentheses by 2 and in step 2 by not simplifying 7p - 2p correctly.

Step-by-step explanation:

Kayden made a mistake in step 1 where he did not multiply both terms in parentheses by 2. In algebra, when you have a term or expression enclosed in parentheses and you need to distribute a number or variable to every term inside the parentheses, you need to multiply every term inside by the number or variable outside the parentheses. This ensures that the operation applies to each term within the parentheses.

In step 2, Kayden did not simplify the expression 7p - 2p correctly. When you have like terms, which are terms that have the same variable and exponent, you can combine them by adding or subtracting their coefficients (the numbers in front of the variable). In this case, the like terms are 7p and -2p, so they can be combined to give 5p.