7
algebra

A student needs to score at least 85 points total on two tests. If the first test score is 42 points, which inequality represents the minimum score ss needed on the second test?

A

s43s \geq 43

B

s43s \leq 43

C

s127s \geq 127

D

42+s8542 + s \leq 85

Correct Answer: A

Choice A is the correct answer. This real-world problem requires setting up and solving an inequality.

  1. Set up: Total score is 42+s42 + s, need "at least 85" means 42+s8542 + s \geq 85
  2. Solve: Subtract 42: s8542s \geq 85 - 42
  3. Calculate: s43s \geq 43

?�� Strategic Tip: "At least" translates to \geq (greater than or equal to), indicating a minimum threshold.

Choice B is incorrect because43\leq 43 would represent a maximum score, not a minimum. Choice C is incorrect because it adds 42 and 85 instead of subtracting, misunderstanding the operation needed. Choice D is incorrect because while this setup is partially correct in form, it uses \leq instead of \geq, contradicting "at least".