1) Which of the following illustrates an inverse variation? a) The electric bill and number of appliances b) The number of students sharing a ride and individual amount c) The number of packs and its weight d) The number of customers and the total profit of a barber 2) Which of the following illustrates a direct variation? a) The total weight of rice varies with the number of bags of rice. b) The amount of time it takes to clean the room varies with the number of cleaners. c) The area of a triangle varies as the base and its height. d) The number of sides of the polygon varies with the measure of the corresponding central angle. 3) Which of the following equations illustrates joint variations? a) E = k/t b) I = km/c c) S = kn2 d) V = khr2 4) A motorcycle travels a distance (d) km in (t) hours. The formula that relates (d) to (t) using k as the constant is d = kt. What kind of variation is it? a) Combined b) Direct c) Inverse d) Joint 5) Determine the equation of the statement: “The acceleration (A) of a moving object varies directly as the distance (d) it travels and inversely as the square of the time (t) it travels.” a) A = kdt2 b) A = kt c) A = kd/t2 d) A = kd/t 6) The table below shows a variation between the laundry weight and the machine-wash cost for 5 through 10 kilos. What is the equation of variation? a) c = 25w b) c = 125w c) c = 625w d) c = 250w 7) Which of the following illustrates direct variation? a) b) c) d) 8) The amount of oil (A) used by a ship traveling at a uniform speed varies jointly with the distance (d) and the square of the speed (s), which of the following equations described the equations among the variable a) A = ks2 b) A = kds2 c) A = kds d) A = kd 9) A type of variation that one quantity varies inversely with another quantity. Which table of values described the said type of variation? a) b) c) d) 10) A type of variation that one quantity varies directly with another quantity. This means as one quantity increases the other quantity also increases and vice versa. What is the graph of the said type of variation? a) b) c) d) 11) Given the force of the spring (f) varies jointly to the spring (s) and displacement (d), which of the following below is the equation? a) s = kfd b) f = ksd c) d = ksf d) f = kd 12) Which of the following relations described the mathematical equation y = kx/z a) The factory in Makati produces 600 phone accessories in 3 hours. b) The number of hours that it takes men to assemble machines varies directly as the number of machines and inversely as the number of men. c) A group of friends planned to hire a venue for special event. They decide to contribute individually to pay the cost of renting the venue. d) Under certain conditions, the thrust of a propeller varies jointly as the fourth power of its diameter and the square of the number of revolutions per second. 13) At Red's bakery, three pandesal cost 5 pesos. How many pandesal can we buy for 30 pesos? a) 12 pandesal b) 24 pandesal c) 6 pandesal d) 18 pandesal 14) What type of variations is this: The time (t) required to harvest a vegetable garden varies directly with the number of gardens (g) and inversely with the number of farmers (f). A team of 8 farmers harvests 10 gardens in 5 hours. a) Direct b) Joint c) Combined d) Inverse 15) 5 students can finish the project in 2 days. In how many days are required to finish the same project by 1 student? a) 3 days b) 8 days c) 1 day d) 10 days 16) What is the value of any non-zero number raised to zero? a) Intermediate b) Zero c) One d) Undefined 17) Rewrite 5√52 in rational exponent form a) 52/5 b) 22/5 c) 55/2 d) 25/2 18) Which of following is the correct way of writing 645/3 in radical form? a) 5√643 b) 4√643 c) 3√645 d) ∛645 19) Rewrite the expression 5 7√b to rational exponent a) (5b)1/7 b) 5b1⁄7 c) 57B7 d) 5b7 20) What is the radical form of the expression 2x2/3 y1/3 a) ∛2xy b) 2√x3 y3 c) 2∛x2 y d) ∛2x2 y 21) Which of the following is the simplified form of 3√8x3 a) 8x b) 2x c) 2x3 d) 2x2 22) What value of n will make the statement TRUE in c4 / c4 = cn? a) 8 b) 1 c) 4 d) 0 23) Determine the value of k to make 321/k = 2 a) 8 b) 4 c) 6 d) 5 24) Determine the value of k to make 641/k = 2 a) 8 b) 4 c) 6 d) 5 25) Express the expression 8u2/5 w1/5 radicals a) √8u2w b) 8 5√u2w c) 8 √u2w d) 5√8u2w 26) Simplify (x12 y6)2/3 a) x18 y9 b) x4 y8 c) x8 y4 d) x9 y18 27) Which of the following is the simplified form of (w2x8)5/2 a) w5 x20 b) w4 x10 c) w20 x5 d) w10 x5 28) What is the simplified term of √𝟒𝟗𝒄8 ? a) 7c2 b) 7c3 c) 7c6 d) 7c4 29) What is the simplified term of √81r10y14? a) 9r10y14 b) 8r10y14 c) 8r5y7 d) 9r5y7 30) What is the result when the indicated operations are performed on 5√2 - √8 + 2√32? a) 7√2 b) 12√2 c) 9√2 d) 11√2 31) What is the result when the indicated operations are performed on (2√7 + 3) (2√7 - 3)? a) 7√7 b) 47 c) 193 d) 19 32) Red is preparing for a quiz about zero and negative exponents. Which of the following concepts could mislead her thought? a) b) c) d)

Quarter 2 Math 9

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