Questions: Aldo's final exam has true/false questions, worth 3 points each, and multiple choice questions, worth 4 points each. Let x be the number of true/false questions he gets correct, and let y be the number of multiple choice questions he gets correct. He needs more than 85 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.

Aldo's final exam has true/false questions, worth 3 points each, and multiple choice questions, worth 4 points each. Let x be the number of true/false questions he gets correct, and let y be the number of multiple choice questions he gets correct. He needs more than 85 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
Transcript text: Aldo's final exam has true/false questions, worth 3 points each, and multiple choice questions, worth 4 points each. Let $x$ be the number of true/false questions he gets correct, and let $y$ be the number of multiple choice questions he gets correct. He needs more than 85 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
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Solution

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Solution Steps

To solve this problem, we need to express the total points Aldo earns from the true/false and multiple choice questions as an inequality. Each true/false question is worth 3 points, and each multiple choice question is worth 4 points. We need to find the inequality that represents Aldo needing more than 85 points to get an A. Therefore, the inequality will be \(3x + 4y > 85\).

Step 1: Define the Variables and Points

Let \( x \) be the number of true/false questions Aldo gets correct, and \( y \) be the number of multiple choice questions he gets correct. Each true/false question is worth 3 points, and each multiple choice question is worth 4 points.

Step 2: Formulate the Inequality

Aldo needs more than 85 points to get an A. Therefore, the total points from the true/false and multiple choice questions can be expressed as the inequality: \[ 3x + 4y > 85 \]

Final Answer

The inequality that describes the condition for Aldo to get an A is: \[ \boxed{3x + 4y > 85} \]

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