Question

Combine like terms to create an equivalent expression:

a)− 4/7p−2/7p+1/7
​
b) −11/7p+71

c) −5/7p−74

d) −9/7p−73

Answer 1

Expression a) simplifies to − 6/7p + 1/7 by combining the terms with the variable 'p'. Expressions b), c), and d) have no like terms with the variable 'p', so they remain unchanged.

Step-by-step explanation:

To combine like terms and create an equivalent expression, we look for terms that have the same variable raised to the same power. Here, we are combining terms with the variable 'p'.

• For expression a) − 4/7p−2/7p+1/7, we combine − 4/7p and − 2/7p to get − 6/7p (since − 4/7 + (− 2/7) = − 6/7) and then we add 1/7, resulting in − 6/7p + 1/7.
• Expressions b), c), and d) do not have like terms to combine with the p terms, so they remain the same: b) − 11/7p + 71, c) − 5/7p − 74, and d) − 9/7p − 73.

Always remember to check if the final answer is reasonable by reviewing the arithmetic and ensuring that like terms were combined correctly.