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Question

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?

To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.

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.

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.

To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly.

Answer 1

She missed 3 questions, which means she didn't get them right, so she lost 3*2=6 points. To break even (end up with zero points) she must answer 2 questions correctly because 2*3=6 points are won for two correct answers. Remember that loss is negative (-6) and gain is positive (6). So answer 2.