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e Write the equation d^{2} + 5 = 6d  6d^{2} in the standard form. e

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e What are the values of a, b and c in the quadratic formula used to solve the equation 9e^{2}  4 + e =  e^{2} + 3e? e

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e What are the values of a, b and c in the equation 3f^{2}  3f + 18 = 0, which is in the standard form? e

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e Write the equation 13g^{2}  1 =  1112g in the standard form. e

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e Solve the equation 14k^{2}  3k + 8 = 0 by using the quadratic formula. e

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e Write the equation (43× h^{2}) + 9 = h^{2} + (109× h) in the standard form and identify the values of a, b and c. e

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e Find the value of b^{2}  4ac for the equation 6a^{2}  22a  20 = 0. e

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e Find the values of 4j in the equation 16 × j ^{2}  2 = 13 × j + 2. e

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e Compare 1415n^{2}  4 = 15n  2 with the standard form and find the value of b^{2}  4ac. e

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e Find the solutions of the quadratic equation p^{2} + 9p + 20 = 0. e

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e Which of the following quadratic equations has the solutions [9 ± √(81 + 64)] / 8? e

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e Brian throws a pen from the top of a building with an initial downward velocity of 30 feet per second. How long will the pen take to reach the ground, if the height of the pen from the ground is modeled by the equation h = 16t^{2}  30t + 124, where h is the height of the pen and t is the time in seconds? e

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e Find the xintercepts of the graph of y = x^{2}  3x + 40. e

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e Nancy dives into a pool from the diving board, which was 16 feet high from the water. She dives with an initial downward velocity of 24 feet per second. If the equation to model the height of the dive is h = 16t^{2} +(24)t + 16, then find the time (in seconds) Nancy takes to reach the water level. e

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e Ethan stands on a bridge 73.5 feet above the ground holding an apple. He throws it with an initial downward velocity of 25 feet per second. How long will it take for the apple to reach the ground, if the vertical motion is given by the equation h = 16t^{2} + vt + s? e

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e Find the xintercepts of the graph of y = x^{2} + 6x  27. e

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e A stone is dropped from a height of 25 feet above the ground. The height of the stone is modeled by the equation h = 16t^{2} + 25, where t is the time in seconds. Find the time taken for the stone to hit the ground. e

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e The cost price of cotton purchased by a textile company is given by the function p = s^{2} + 8s  1748, where s is the number of bales purchased. How many bales of cotton are to be purchased for the cost price to be minimum? e

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e Paul drops a ball from a height of 100 feet above the ground. Calculate the time taken by the ball to hit the ground, if its height is given by the equation h = 16t^{2} + 100, where t is the time in seconds. e

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e What are the values of a, b and c in the equation 2f^{2} + 7f  20 = 0, which is in the standard form? e

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e Write the equation 14g^{2}  1 =  1112g in the standard form. e

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e Which of the following are the solutions of the quadratic equation ax^{2} + bx + c = 0, when a ≠ 0 and b^{2}  4ac ≥ 0? e

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e Write the equation d^{2} + 5 = 4d  6d^{2} in the standard form. e

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e What are the values of a, b and c in the quadratic formula used to solve the equation 2e^{2}  5 + e =  e^{2} + 6e? e

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e What are the values of a, b and c in the equation 5f^{2}  8f + 46 = 0, which is in the standard form? e

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e Write the equation 12g^{2}  1 =  910g in the standard form. e

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e Write the equation (32× h^{2}) + 9 = h^{2} + (1110× h) in the standard form and identify the values of a, b and c. e

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e Find the value of b^{2}  4ac for the equation 8x^{2}  22x  12 = 0. e

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e Find the values of 9j in the equation 16 × j ^{2}  2 = 13 × j + 2. e

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e What are the values of a, b and c in the equation 2f^{2} + 2f  16 = 0, which is in the standard form? e

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e Solve the equation 13k^{2}  3k + 6 = 0 by using the quadratic formula. e

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e Write the equation 12g^{2} + 2 = 56g in the standard form. e

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e Compare 1415n^{2}  7 = 13n  3 with the standard form and find the value of b^{2}  4ac. e

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e Find the solutions of the quadratic equation p^{2} + 10p + 25 = 0. e

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e Which of the following quadratic equations has the solutions [11 ± √(121 + 40)] / 10? e

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e Bill throws a pen from the top of a building with an initial downward velocity of 30 feet per second. How long will the pen take to reach the ground, if the height of the pen from the ground is modeled by the equation h = 16t^{2}  30t + 124, where h is the height of the pen and t is the time in seconds? e

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e Find the xintercepts of the graph of y = x^{2}  2x + 24. e

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e Carol dives into a pool from the diving board, which was 9 feet high from the water. She dives with an initial downward velocity of 18 feet per second. If the equation to model the height of the dive is h = 16t^{2} +(18)t + 9, then find the time (in seconds) Carol takes to reach the water level. e

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e Gary stands on a bridge 73.5 feet above the ground holding an apple. He throws it with an initial downward velocity of 25 feet per second. How long will it take for the apple to reach the ground, if the vertical motion is given by the equation h = 16t^{2} + vt + s? e

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e Find the xintercepts of the graph of y = x^{2} + 9x  36. e

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e A stone is dropped from a height of 36 feet above the ground. The height of the stone is modeled by the equation h = 16t^{2} + 36, where t is the time in seconds. Find the time taken for the stone to hit the ground. e

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e The cost price of cotton purchased by a textile company is given by the function p = s^{2} + 5s  374, where s is the number of bales purchased. How many bales of cotton are to be purchased for the cost price to be minimum? e

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e A tennis player hits a ball when it is 8 feet off the ground. The ball is hit with an upward velocity of 8 feet per second. After the ball is hit, its height h (in feet) is modeled by h = 16t^{2} + 8t + 8, where t is the time in seconds. How long will it take the ball to reach the ground? e

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e Jerald drops a ball from a height of 81 feet above the ground. Calculate the time taken by the ball to hit the ground, if its height is given by the equation h = 16t^{2} + 81, where t is the time in seconds. e

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e Tim jumped from a bungee tower, which was 729 feet high. Find the time taken by him to reach the ground, if the equation that models his height is h = 16t^{2} + 729, where t is the time in seconds. e

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e Jerald throws a ball from a building with an initial downward velocity of  10 feet per second. How long will the ball take to reach the ground, if the height of the ball from the ground is modeled by the equation h =  16t^{2}  10t + 125, where t is the time in seconds? e

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