8
QuizMultiple Choice

Simplifying Algebraic Expressions — Quiz

Question 8 • Mathematics 8

Salina and Nessa combined like terms using the same expression. Salina’s answer differs from Nessa’s. The table shows both of their solutions. Student's Work Salina Nessa 6 x squared y minus 3 plus x squared y plus 2 x y squared plus 2 x y minus 6 is equal to 7 x squared y minus 9 plus x squared y plus 2 x y squared plus 2 x y 6 x squared y minus 3 plus x squared y plus 2 x y squared plus 2 x y minus 6 is equal to 7 x squared y minus 9 plus 2 x y squared plus 2 x y Which statement is correct regarding their solutions?

Answer
A
Salina combined the x squared y terms correctly but then left the plus x squared y term in her answer.
B
Nessa combined the constants correctly but then left the plus 2 x y squared term in her answer
C
Nessa did not combine the x squared y terms correctly.
D
Salina did not add the constant terms correctly.

Explanation

The like terms 6x²y and x²y combine to make 7x²y, and the constants −3 and −6 combine to make −9. Salina’s answer includes an extra x²y after already writing 7x²y, so she left a term uncombined. Nessa’s expression, 7x²y − 9 + 2xy² + 2xy, has no such extra term.

AI-written and checked against the verified answer.

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