4
QuizMultiple Choice

Negative Numbers in Real-World Contexts

Question 4 • FL-1205010-M/J Grade 6 Mathematics A-CR

Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?

Answer
A
To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.
B
To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
C
To break even, Liza must answer 6 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
D
To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly.

Explanation

Each incorrect response costs 2 points, so 3 incorrect responses leave Liza with 3 × (−2) = −6 points. Each correct response earns 3 points, and 2 correct responses add 2 × 3 = 6 points, bringing her score to 0. Therefore, the true statement is that she needs 2 correct answers to break even.

AI-written and checked against the verified answer.

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