An Algebra I test contains 40 questions. Some of the questions are worth 4 points each, and some are worth 2 points each. The total test is worth 100 points. Let f represent the number of questions worth 4 points and t, the number of questions worth 2 points.
Which equation represents the total points possible for the test?
4f + 2t = 100
15
To find the equation that represents the total points possible for the test, we need to consider the following information:
- The number of questions worth 4 points (f)
- The number of questions worth 2 points (t)
- The total number of questions on the test (40)
- The individual point values for each type of question (4 points for questions worth 4 points, and 2 points for questions worth 2 points)
- The total points possible for the test (100)
Since the number of questions worth 4 points (f) added to the number of questions worth 2 points (t) must equal the total number of questions on the test (40), we can write the equation for the total number of questions as:
f + t = 40
Now, let's consider the point value for each type of question. The number of questions worth 4 points (f) multiplied by the point value for each question worth 4 points (4) will give us the total points for questions worth 4 points. Similarly, the number of questions worth 2 points (t) multiplied by the point value for each question worth 2 points (2) will give us the total points for questions worth 2 points.
4f + 2t represents the total points for the test.
Since the total points for the test is given as 100, we can write the equation as:
4f + 2t = 100
Therefore, the equation that represents the total points possible for the test is 4f + 2t = 100.