# If your average in the first 7 quizzes is 72% and the passing grade is 75%, What grade should you get in the eight quiz to get a passing average?

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by acel1234

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by acel1234

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Average of 7 quizzes: 72%

Grade for 8th quiz: x %

Passing grade: 75%

Equation:

72 + x ≥ 150

72-72 + x ≥ 150 - 72

x ≥ 78

**ANSWER: The student must get at least 78% in the 8th quiz to get a passing average. **

Note: The problem involves inequality because of the word "passing" meaning at least. Other keywords for inequality may include at least or miminum (≥), the most or maximum (≤)

Grade for 8th quiz: x %

Passing grade: 75%

Equation:

72 + x ≥ 150

72-72 + x ≥ 150 - 72

x ≥ 78

Note: The problem involves inequality because of the word "passing" meaning at least. Other keywords for inequality may include at least or miminum (≥), the most or maximum (≤)

(72 + x) ÷ 8 ≥ 75

(72 + x) ÷ 8 × 8 ≥ 75 × 8

72 + x ≥ 600

72 + x - 72 ≥ 600 - 72

x ≥ 96

So, you must get a grade 96% (or greater than 96) in order to get a passing average.