Question

To earn an A in History, you must earn at least 540 points. So far, you have earnedscores of 85, 83, 90, and 96. The final exam counts as two test grades. How manypoints do you need on the final exam to earn an A? SOLVE AS A INEQUALITY

Answer 1

At least 93 points

1) Gathering the data

a total score of ≥ 540

85, 83, 90, 96

Final exam: 2x

The sum of earned points: 354

2) Setting the inequality, and then solving it:

2x +354 ≥ 540 Subtracting 354 on both sides

2x +354-354 ≥ 540-354

2x ≥ 186 Dividing 186 by 2

x ≥ 93

3) So in the final exam, I'll need at least a grade of 93. So that can be turned to 186 points and I get the minimum score of at least 540 points in History.