3
QuizMultiple Choice

Analyzing the Meaning of Expressions — Quiz

Question 3 • Algebra: Concepts and Connections

Mikayla has 32 dollars in her piggy bank. Her sister, Jessica, has 21 dollars Mikayla earns 10 dollars a week by doing chores for her grandparents, while Jessica earns 12 dollars a week by mowing lawns. Which expressions give how much more or less money Mikayla has compared to Jessica after x weeks? Choose three correct answers.

Answer
A
32 minus 21 plus 10 x minus 12 x
B
11 plus 22 x
C
2 x minus 11
D
11 minus 2 x
E
32 plus 10 x minus open paren 21 plus 12 x close paren

Explanation

After x weeks, Mikayla has 32 + 10x dollars and Jessica has 21 + 12x dollars. Subtract Jessica’s amount from Mikayla’s: (32 + 10x) − (21 + 12x) = 11 − 2x. Choices A, D, and E all express this difference; a negative result means Mikayla has less money.

AI-written and checked against the verified answer.

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