2nd Quarter SUMMATIVE TEST Mathematics 9 (Weeks 1 and 2) Name:_______________________________ Year/ Section:_________________________ Score:________________ Date:________________ A.MULTIPLE CHOICE: Encircle the letter that corresponds to the correct answer. 1. Find the constant of variation if y varies directly as x and y=24 when x=3. A. 6 B. 7 C. 8 D. 9 2. If candies are sold at 3 pcs for Php2.00. How many candies can Jenny get if she has Php20.00? A. 15 B. 20 C. 25 D. 30 3. If y varies inversely as x, which of the statements below is true? A. as y increases, x also increases C. as y increases, x decreases B. as y increases, x remains the same D. x is always greater than y 4. If a varies inversely as b, and a=12 when b = 4, find a when b = -16. A. 48 B. 24 C. -8 D. -3 5. If w varies jointly as x and y and w=36 when x=3 and y=4, find w when x = -5 and y= 7. A. 105 B. -105 C. 140 D. -140 6. Which of the following situations illustrates combined variations? A. A varies directly as B and inversely as C B. B varies jointly as D and inversely as M C. P is directly proportional to Q and inversely proportional to R D. All of the above 7. Translate this variation statement into an equation. “The time t required to travel varies directly as the distance d and inversely as the rate r.” A. t = B. t = C. t = D. t = kdr B. Problem Solving Analyze and solve the problem below. Show your solution. (3 points) The number of hours h it takes m men to assemble x machines varies directly as the number of machines and inversely as the number of men. If 3 men can assemble 12 machines in four hours, how many men are needed to assemble 24 machines in 6 hours? Hint: Rubric in Problem Solving Criteria Mathematical Concept Used Computations and Accuracy 3 Has shown full understanding of the concept as evidence of the work presented Computations presented were complete with no errors and with correct answer 2 Has shown some degree of understanding of the concept as evidence of the work presented Computations presented contains minor errors and with correct answer 1 Has no knowledge of the concept as evidence of the work presented Computations presented were incomplete and incorrect answer Prepared by: MERCEDITA I. ADRIATICO Math Teacher Noted by: JACINTA B. YUSOPH Education Program Supervisor – Mathematics