Advanced Mathematics 1 Test #2 Course Work #3 This test consists of questions from Units 1, 2 and 3. Topics: Algebra – Solving Equations, Functions, Statistics and Probability 6. A bag has 3 red marbles, 4 blue marbles and Name:________________________________ Date: ________________________________ a. 1. Find the value for x, given that 2(x + 5) = 12 3 green marbles. What is the probability that a marble selected at random is green? 3 b. 10 š c. š 1 5 d. 1 4 7. A man throws a die and a coin at the same time. What would be the sample space? a. 4 b. 3.5 c. 3 a. 6 c. 12 b. 8 d. 2 8. Solve the pair of simultaneous equation: d. 1 2x + 3y = 16 5x – 4y = -6 2. Evaluate the f(3), if f(x) = x2 – 5 a. X = 2, y = 4 b. x = 4, y = 2 a. 4 c. -4 c. X = 3, y = 4 b. 14 d. Use the group data below to answer question 3. Find the mean of the following data: 34, 37, 32, 34, 25, 26, 29. a. 34 c. 26 b. 31 d. 29 4. Which is the correct factorization of the 9 and 10. Marks (X) Number of Students (f) 0–9 10 - 19 20 - 29 30 - 39 40 - 49 50 - 59 2 7 15 10 11 5 N = 50 expression x2 + 5x + 6? a. (2x + 3)(2x + 3) c. (x + 3)(x + 2) b. (x + 3)(x - 2) d. (2x + 3)(2x – 3) d. X =4, y = 3 9. Cumulative Frequency (cf) 2 9 24 34 45 50 Find the median of the data using the formula. 5. Which of the following is discrete quantitative data? a. Number of books on a shelf a. 39.5 b. A person’s height 10. What is the lower-class boundary for the c. The length of a pen d. A person’s weight. b. 35.5 c. 40.5 class interval: 40 – 50. a. 45.5 c. 39.5 b. 40.5 d. 50.5 d. 30.5