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Solved Examples
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 BB  Write the equation -d2 + 5 = 6d - 6d2 in the standard form.  BB View Solution
 BB  What are the values of a, b and c in the quadratic formula used to solve the equation 9e2 - 4 + e = - e2 + 3e?  BB View Solution
 BB  What are the values of a, b and c in the equation 3f2 - 3f + 18 = 0, which is in the standard form?  BB View Solution
 D   Write the equation 13g2 - 1 = - 1112g in the standard form.   D View Solution
 D   Solve the equation 14k2 - 3k + 8 = 0 by using the quadratic formula.   D View Solution
 D   Write the equation (43× h2) + 9 = h2 + (109× h) in the standard form and identify the values of a, b and c.   D View Solution
 D   Find the value of b2 - 4ac for the equation -6a2 - 22a - 20 = 0.   D View Solution
 D   Find the values of 4j in the equation 16 × j 2 - 2 = 13 × j + 2.   D View Solution
 D   Compare 1415n2 - 4 = 15n - 2 with the standard form and find the value of b2 - 4ac.   D View Solution
 D   Find the solutions of the quadratic equation p2 + 9p + 20 = 0.   D View Solution
 D   Which of the following quadratic equations has the solutions [9 ± √(81 + 64)] / 8?   D View Solution
 D   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 = -16t2 - 30t + 124, where h is the height of the pen and t is the time in seconds?   D View Solution
 D   Find the x-intercepts of the graph of y = -x2 - 3x + 40.   D View Solution
 D   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 = -16t2 +(-24)t + 16, then find the time (in seconds) Nancy takes to reach the water level.   D View Solution
 D   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 = -16t2 + vt + s?   D View Solution
 D   Find the x-intercepts of the graph of y = x2 + 6x - 27.   D View Solution
 D   A stone is dropped from a height of 25 feet above the ground. The height of the stone is modeled by the equation h = -16t2 + 25, where t is the time in seconds. Find the time taken for the stone to hit the ground.   D View Solution
 D   The cost price of cotton purchased by a textile company is given by the function p = s2 + 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?   D View Solution
 D   What are the values of a, b and c in the equation 2f2 + 7f - 20 = 0, which is in the standard form?   D View Solution
 D   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 = -16t2 + 100, where t is the time in seconds.   D View Solution
 D   Write the equation 14g2 - 1 = - 1112g in the standard form.   D View Solution
 D   Which of the following are the solutions of the quadratic equation ax2 + bx + c = 0, when a ≠ 0 and b2 - 4ac ≥ 0?   D View Solution
 D   Write the equation -d2 + 5 = 4d - 6d2 in the standard form.   D View Solution
 D   What are the values of a, b and c in the quadratic formula used to solve the equation 2e2 - 5 + e = - e2 + 6e?   D View Solution
 D   What are the values of a, b and c in the equation 5f2 - 8f + 46 = 0, which is in the standard form?   D View Solution
 D   Write the equation 12g2 - 1 = - 910g in the standard form.   D View Solution
 D   Write the equation (32× h2) + 9 = h2 + (1110× h) in the standard form and identify the values of a, b and c.   D View Solution
 D   Find the value of b2 - 4ac for the equation -8x2 - 22x - 12 = 0.   D View Solution
 D   Find the values of 9j in the equation 16 × j 2 - 2 = 13 × j + 2.   D View Solution
 D   Solve the equation 13k2 - 3k + 6 = 0 by using the quadratic formula.   D View Solution
 D   Compare 1415n2 - 7 = 13n - 3 with the standard form and find the value of b2 - 4ac.   D View Solution
 D   Find the solutions of the quadratic equation p2 + 10p + 25 = 0.   D View Solution
 D   Which of the following quadratic equations has the solutions [11 ± √(121 + 40)] / 10?   D View Solution
 D   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 = -16t2 - 30t + 124, where h is the height of the pen and t is the time in seconds?   D View Solution
 D   Find the x-intercepts of the graph of y = -x2 - 2x + 24.   D View Solution
 D   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 = -16t2 +(-18)t + 9, then find the time (in seconds) Carol takes to reach the water level.   D View Solution
 D   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 = -16t2 + vt + s?   D View Solution
 D   Find the x-intercepts of the graph of y = x2 + 9x - 36.   D View Solution
 D   A stone is dropped from a height of 36 feet above the ground. The height of the stone is modeled by the equation h = -16t2 + 36, where t is the time in seconds. Find the time taken for the stone to hit the ground.   D View Solution
 D   The cost price of cotton purchased by a textile company is given by the function p = s2 + 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?   D View Solution
 D   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 = -16t2 + 8t + 8, where t is the time in seconds. How long will it take the ball to reach the ground?   D View Solution
 D   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 = -16t2 + 81, where t is the time in seconds.   D View Solution
 D   What are the values of a, b and c in the equation 2f2 + 2f - 16 = 0, which is in the standard form?   D View Solution
 D   Write the equation 12g2 + 2 = 56g in the standard form.   D View Solution
 D   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 = -16t2 + 729, where t is the time in seconds.   D View Solution
 D   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 = - 16t2 - 10t + 125, where t is the time in seconds?   D View Solution