Exam 9: Quadratic Equations

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Combine the complex number. Combine the complex number.

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Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial. Give the correct final term for the following expression to ensure that the resulting trinomial is a perfect square trinomial.

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Solve the equation by completing the square. Solve the equation by completing the square.

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Solve the equation by completing the square. Solve the equation by completing the square.

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Solve the equation by using the quadratic formula. Solve the equation by using the quadratic formula.

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Is Is   a solution to the equation   ? a solution to the equation Is   a solution to the equation   ? ?

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Solve the equation by completing the square. Solve the equation by completing the square.

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The square of the sum of a number and 3 is 36. Find the number. (There are two solutions.)

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The following equation has a graph that is a parabola. However, the graph of this equation will open downward; the vertex of it will be the highest point on the graph. Graph the equation by first making a table of ordered pairs using the given values of The following equation has a graph that is a parabola. However, the graph of this equation will open downward; the vertex of it will be the highest point on the graph. Graph the equation by first making a table of ordered pairs using the given values of    The following equation has a graph that is a parabola. However, the graph of this equation will open downward; the vertex of it will be the highest point on the graph. Graph the equation by first making a table of ordered pairs using the given values of

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Multiply the complex numbers. Multiply the complex numbers.

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Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you. Solve the quadratic equation. Use whatever method seems to fit the situation or is convenient for you.

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Solve the equation. Solve the equation.

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Graph the equation. Graph the equation.

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At the beginning of every football game, the referee flips a coin to see who will kick off. The equation that gives the height (in feet) of the coin tossed in the air is At the beginning of every football game, the referee flips a coin to see who will kick off. The equation that gives the height (in feet) of the coin tossed in the air is   To find the times at which the coin is   feet above the ground we substitute   for h in the equation, giving us   Solve this equation for t to find the times at which the coin is   feet above the ground.  To find the times at which the coin is At the beginning of every football game, the referee flips a coin to see who will kick off. The equation that gives the height (in feet) of the coin tossed in the air is   To find the times at which the coin is   feet above the ground we substitute   for h in the equation, giving us   Solve this equation for t to find the times at which the coin is   feet above the ground.  feet above the ground we substitute At the beginning of every football game, the referee flips a coin to see who will kick off. The equation that gives the height (in feet) of the coin tossed in the air is   To find the times at which the coin is   feet above the ground we substitute   for h in the equation, giving us   Solve this equation for t to find the times at which the coin is   feet above the ground.  for h in the equation, giving us At the beginning of every football game, the referee flips a coin to see who will kick off. The equation that gives the height (in feet) of the coin tossed in the air is   To find the times at which the coin is   feet above the ground we substitute   for h in the equation, giving us   Solve this equation for t to find the times at which the coin is   feet above the ground.  Solve this equation for t to find the times at which the coin is At the beginning of every football game, the referee flips a coin to see who will kick off. The equation that gives the height (in feet) of the coin tossed in the air is   To find the times at which the coin is   feet above the ground we substitute   for h in the equation, giving us   Solve this equation for t to find the times at which the coin is   feet above the ground.  feet above the ground. At the beginning of every football game, the referee flips a coin to see who will kick off. The equation that gives the height (in feet) of the coin tossed in the air is   To find the times at which the coin is   feet above the ground we substitute   for h in the equation, giving us   Solve this equation for t to find the times at which the coin is   feet above the ground.

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If one solution to a quadratic equation is If one solution to a quadratic equation is   , what do you think the other solution is? , what do you think the other solution is?

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Solve the equation by using the quadratic formula. Solve the equation by using the quadratic formula.

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If you invest If you invest   in an account with interest rate r compounded annually, the amount of money A in the account after   years is given by the formula:   Solve this formula for  in an account with interest rate r compounded annually, the amount of money A in the account after If you invest   in an account with interest rate r compounded annually, the amount of money A in the account after   years is given by the formula:   Solve this formula for  years is given by the formula: If you invest   in an account with interest rate r compounded annually, the amount of money A in the account after   years is given by the formula:   Solve this formula for  Solve this formula for If you invest   in an account with interest rate r compounded annually, the amount of money A in the account after   years is given by the formula:   Solve this formula for

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Solve the equation using the square root method. Solve the equation using the square root method.

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If one solution to a quadratic equation is If one solution to a quadratic equation is   , what do you think the other solution is?   __________ , what do you think the other solution is? If one solution to a quadratic equation is   , what do you think the other solution is?   __________ __________

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Solve the equation by using the quadratic formula. Solve the equation by using the quadratic formula.

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