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Solved Examples
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ff  A ball is dropped from a height of 144 feet from a building. The distance covered by the ball to reach the ground is expressed by the equation, s = 16t2, where s is in feet and t is in seconds. Find the time taken by the ball to reach the ground.
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ff  The area of a circular garden is given by the equation, A = 3.14r2, where A is the area of the garden in square ft and r is the radius of the garden in ft. What is the radius of the garden, if its area is 7850 square ft?  ff View Solution
ff  Solve 15z2 + 12 = 942 and round the result to its nearest tenth.  ff View Solution
ff  What integral values of x satisfy the equation x2 = 81?  ff View Solution
ff  Solve the equation p2 = 7 and express the solutions as radical expressions.  ff View Solution
ff  Express the solutions of the equation m2 - 18 = 31, as integers.  ff View Solution
ff  Express the solutions of the equation 2n2 - 8 = 4, in the form of radical expressions.  ff View Solution
ff  Solve: 2c2 = - 2
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ff  Solve: 4w2 - 16 = 0
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ff  What is the value of x, if 3x2 - 8 = 40?  ff View Solution
ff  Find the side of a square floor, if its area is 361 square meters.
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ff  What is the value of x, if 5x2 - 120 = 125?  ff View Solution
ff  Which of the following statements is correct for the equation - 8d 2 + 25 = - 5d 2 - 122?
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ff  Frank, who weighs 39 kgs, is running in a football field. If he has acquired 78 joules of kinetic energy, then what is the velocity with which he is running? Kinetic energy is modeled by the equation E = 12 × m × v2, where E is the kinetic energy, m is the mass in kilograms and v is the velocity in m/s.  ff View Solution
ff  The potential energy of a spring is modeled by the equation E = 8d2, where d is the distance from the equilibrium position. If the potential energy is 72 joules, then what is the equilibrium distance of the spring?  ff View Solution
ff  The area of a circular cardboard is 206 square feet. What is the radius r of the cardboard (in ft), if the area of the cardboard A is modeled by the equation A = 3.14r2?  ff View Solution
ff  At a school, the students participating in the ROTC drill formed a circle of area 153.86 square feet. What is the radius of the circle, if the area is modeled by the equation, A = 3.14r2, where A is the area in square feet and r is the radius in feet?  ff View Solution
ff  At a dolphin show in Singapore City, a dolphin jumps to a height of 4 feet into the air and dives back into the water. Calculate the time, t taken by the dolphin to reach the water level, if the height it jumps to, s is given by s = (12)at2, where a = 2.
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ff  The largest pizza ever made in a foodcourt had an area of 314 square inches. What was the radius of the pizza, if its area is given by the equation A = 3.14r2, where A is its area in square inches and r is its radius in inches?
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ff  What is the value of x, if - 5x2 = - 25?  ff View Solution
ff  A cow is tied with a rope in a meadow so that it can graze a maximum area of 78.50 ft2. What is the length of the rope?  ff View Solution
ff  The area of a square field is 576 ft2. Find the cost of fencing the field at $5 per ft.
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ff  What is the value of x, if x2 = 80?
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ff  Find the value of x, if 9x2 = 225.
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ff  A cow is tied with a rope in a meadow so that it can graze a maximum area of 50.24 ft2. What is the length of the rope?  ff View Solution
ff  The area of a square field is 1936 ft2. Find the cost of fencing the field at $3 per ft.
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ff  Find the value of x, if 4x2 = 64.
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ff  The area of a circular garden is given by the equation, A = 3.14r2, where A is the area of the garden in square ft and r is the radius of the garden in ft. What is the radius of the garden, if its area is 1256 square ft?  ff View Solution
ff  Solve 15z2 + 37 = 382 and round the result to its nearest tenth.  ff View Solution
ff  What integral values of x satisfy the equation x2 = 36?  ff View Solution
ff  Solve the equation p2 = 5 and express the solutions as radical expressions.  ff View Solution
ff  Express the solutions of the equation m2 - 15 = 21, as integers.  ff View Solution
ff  Express the solutions of the equation 3n2 - 15 = 21, in the form of radical expressions.  ff View Solution
ff  Solve: 3c2 = - 3
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ff  Solve: 3w2 - 75 = 0
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ff  Which of the following statements is correct for the equation - 6d 2 + 9 = - 3d 2 - 66?
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ff  Chris, who weighs 39 kgs, is running in a football field. If he has acquired 78 joules of kinetic energy, then what is the velocity with which he is running? Kinetic energy is modeled by the equation E = 12 × m × v2, where E is the kinetic energy, m is the mass in kilograms and v is the velocity in m/s.  ff View Solution
ff  The potential energy of a spring is modeled by the equation E = 8d2, where d is the distance from the equilibrium position. If the potential energy is 128 joules, then what is the equilibrium distance of the spring?  ff View Solution
ff  The area of a circular cardboard is 220 square feet. What is the radius r of the cardboard (in ft), if the area of the cardboard A is modeled by the equation A = 3.14r2?  ff View Solution
ff  At a school, the students participating in the ROTC drill formed a circle of area 113.04 square feet. What is the radius of the circle, if the area is modeled by the equation, A = 3.14r2, where A is the area in square feet and r is the radius in feet?  ff View Solution
ff  At a dolphin show in Singapore City, a dolphin jumps to a height of 9 feet into the air and dives back into the water. Calculate the time, t taken by the dolphin to reach the water level, if the height it jumps to, s is given by s = (14)at2, where a = 4.
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ff  What is the value of x, if 2x2 - 3 = 159?  ff View Solution
ff  Find the side of a square floor, if its area is 625 square meters.
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ff  What is the value of x, if 4x2 - 64 = 80?  ff View Solution
ff  The largest pizza ever made in a foodcourt had an area of 452.16 square inches. What was the radius of the pizza, if its area is given by the equation A = 3.14r2, where A is its area in square inches and r is its radius in inches?
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ff  What is the value of x, if - 9x2 = - 45?  ff View Solution
ff  What is the value of x, if x2 = 12?
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