5
QuizMultiple Choice

Matrices — Test

Question 5 • Algebra II

On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?

Answer
A
4
B
12
C
8
D
16

Explanation

Let x be the number of 5-point questions. Then there are 2x two-point questions, and 28 − 3x four-point questions. The total points are 5x + 2(2x) + 4(28 − 3x) = 100, which simplifies to 112 − 3x = 100, so x = 4. Therefore, there are 2x = 8 two-point questions, which is choice C.

AI-written and checked against the verified answer.

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