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c Find the value of the discriminant for the equation  5x^{2} + 10x  5 = 0. c

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c How many real solutions does the equation  e^{2}  5e  26 = 0, have? c

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c Use discriminant to find the number of solutions to the equation 3x^{2}  2x  3 = 0. c

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c How many solutions does the quadratic equation 4x  2 = 2x^{2} have? c

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c How many real solutions does the equation z^{2}  8z + 4 = 0, have? c

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c A monkey jumps with an initial velocity of 12 feet per second. To reach a branch of a tree, it has to jump 8 feet high. The equation that models the height of its jump is h =  16t^{2} + 12t + 7. Can the monkey jump on to the branch? c

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c A rope is tied between two buildings and is 40 feet above the ground. Chris tries to throw a stone over the rope. The distance of the stone from the ground is modeled by the equation h =  16t^{2} + 13t + 6. Will Chris be able to throw the stone over the rope? c

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c Frank wants to throw a stick onto the top of his apartment, which is 24 ft high. He throws the stick with an initial velocity of 7 feet per second. The height of the stick at time t is modeled by the equation h =  16t^{2} + 7t + 10. Will the stick reach the top of Frank's apartment? c

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c How many real solutions does the equation 2f ^{2}  4f + 2 = 0, have? c

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c Find the number of xintercepts of the graph y = x^{2} + 8x + 16. c

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c Find the number of xintercepts of the graph y =  4x^{2} + 3x  4. c

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c Determine the number of times the graph y = 7x^{2}  4x + 3 intersects the xaxis. c

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c Determine the number of times the graph y =  13x^{2} + 4x + 4, intersects the xaxis. c

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c Determine the number of times the graph, y =  x^{2}  2x  1, intersects the xaxis. c

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c The area of the garden in Mr.William's house is modeled by the equation A =  3x^{2} + 7x + 84. For which of the following values of x, will the garden have an area of 86 square feet? c

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c Tommy can jump with an initial velocity of 2 feet per second. To catch the ball hit by a baseball hitter, he has to jump 5 feet. The equation for the height of his jump is h =  16t^{2} + 2t. Use the discriminant to find whether he can catch the ball. c

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c In how many points does the graph of y = 3x^{2} + 4x  3 intersect the x  axis? c

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c In how many points does the graph y = 3x^{2} + 6x + 3 intersect the xaxis? c

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c How many real solutions does the equation  e^{2}  5e  11 = 0, have? c

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c How many solutions does the quadratic equation 6x  3 = 3x^{2} have? c

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c How many real solutions does the equation z^{2}  20z + 3 = 0, have? c

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c Find the value of the discriminant for the equation  2x^{2} + 4x  2 = 0. c

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c Use discriminant to find the number of solutions to the equation 3x^{2}  3x  3 = 0. c

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c Which of the following can be found from the discriminant, b^{2}  4ac of a quadratic equation? c

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c Ethan wants to throw a stick onto the top of his apartment, which is 24 ft high. He throws the stick with an initial velocity of 7 feet per second. The height of the stick at time t is modeled by the equation h =  16t^{2} + 7t + 10. Will the stick reach the top of Ethan's apartment? c

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c If the discriminant, b^{2}  4ac of a quadratic equation is positive, then which of the following statements is true? c

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c If the discriminant, b^{2}  4ac of a quadratic equation is equal to zero, then which of the following statements is true? c

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c If the discriminant, b^{2}  4ac of a quadratic equation is negative, then which of the following statements is true? c

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c How many real solutions does the equation 4f ^{2}  8f + 4 = 0, have? c

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c Find the number of xintercepts of the graph y = x^{2} + 10x + 25. c

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c Find the number of xintercepts of the graph y =  10x^{2} + 3x  10. c

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c Determine the number of times the graph y = 7x^{2}  5x + 4 intersects the xaxis. c

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c Determine the number of times the graph y =  11x^{2} + 5x + 5, intersects the xaxis. c

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c Determine the number of times the graph, y =  x^{2}  6x  9, intersects the xaxis. c

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c The area of the garden in Mr.Andrew's house is modeled by the equation A =  3x^{2} + 7x + 70. For which of the following values of x, will the garden have an area of 72 square feet? c

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c Jake can jump with an initial velocity of 3 feet per second. To catch the ball hit by a baseball hitter, he has to jump 4 feet. The equation for the height of his jump is h =  16t^{2} + 3t. Use the discriminant to find whether he can catch the ball. c

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c A monkey jumps with an initial velocity of 13 feet per second. To reach a branch of a tree, it has to jump 8 feet high. The equation that models the height of its jump is h =  16t^{2} + 13t + 6. Can the monkey jump on to the branch? c

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c A rope is tied between two buildings and is 40 feet above the ground. Bill tries to throw a stone over the rope. The distance of the stone from the ground is modeled by the equation h =  16t^{2} + 12t + 6. Will Bill be able to throw the stone over the rope? c

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c In how many points does the graph of y = 2x^{2} + 3x  2 intersect the x  axis? c

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c In how many points does the graph y = 5x^{2} + 10x + 5 intersect the xaxis? c

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c Which of the following can be the discriminant of the graph of the quadratic equation? c

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c Which of the following can be the discriminant of the graph of the quadratic equation? c

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c Which of the following can be the discriminant of the graph of the quadratic equation? c

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c For what value of c such that the equation x^{2} + 8x + c = 0 will have two solutions? c

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c Which number is not possible for the area of rectangle shown in figure? c

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c Is it possible for the rectangle to have a perimeter of 60 inches and an area of 224 square inches? c

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c For what value of c such that the equation 2x^{2}  8x + c = 0 will have one solution. c

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c For what value of c such that the equation 2x^{2}  5x + c = 0 will have no real solution. c

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c Sam started a company in 1992. His profit in thousands of dollars can be estimated by the model P = 8.34t^{2}  3.52t + 10.24 where 't' represents the number of years since 1992. Using this model, find out in which year approximately his profit becomes $1,170,000. c

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