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?

Let z be the number of 5-point questions. Then there are 2z two-point questions, and the number of four-point questions is 28 − 3z. The total score is 2(2z) + 4(28 − 3z) + 5z = 100, which gives z = 4. Therefore, there are 2 × 4 = 8 two-point questions, so the answer is 8.

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