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Inequalities with Addition and Subtraction

Practice Inequalities with Addition and Subtraction
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Using GPA
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Real World Applications – Algebra I


Calculating your GPA

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For 10^{th} grade: \frac{(2.33 + 2 + 2.67 + 1.67 + 1.67 + 1.67 + 3.67 + 2.67 + 2.33 + 2)}{10} = 2.268

For 9^{th} grade: \frac{(2.67 + 2.33 + 2.33 + 2 + 2.67 + 2.67 + 2.33 + 2.67 + 2.67 + 2.33)}{10} = 2.467

Total GPA: \frac{(2.268 + 2.467)}{2} = 2.3675

Using this information, we can calculate the types of grades that this student would need in order for him to be CSU-eligible. We can use the same setup to calculate these grades. So far, this student is not CSU-eligible, based on his grades. Let’s see what his grades in 11^{th} grade would have to be in order for him to make the minimum. Let’s try to see if all B’s in all of his classes would make him eligible.

For 11^{th} grade: \frac{(3 \times 10)}{10} = 3.0

Total GPA for all three years: \frac{(3.0 + 2.268 + 2.467)}{3} = 2.578

If this student had all B’s in his 11^{th} grade year, he wouldn’t make the requirement. Let’s try to see what his 11^{th} grade year GPA would have to be in order to make the minimum GPA requirement using an inequality.

Total GPA for all three years: \frac{(x + 2.268 + 2.467)}{3} \ge 3.0 let x represent 11^{th} grade’s GPA

\frac{(x + 4.735)}{3} &\ge 3.0\\x + 4.735 &\ge 9\\x &\ge 4.265


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