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| 1) Explain the process of “completing the square.”
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| 2) When is the process of “completing the square” used to solve quadratic equations?
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For the following problems, write the equation in vertex form by using "completing the square,” and then determine the vertex of the equation.
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| 7) Explain the solution to the previous problem.
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Solving Equations
For the next four problems, solve each equation by “completing the square.”
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The Quadratic Formula
For the following problems, solve each equation using the quadratic formula.
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| 13) Solve for “x.”
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| 14) Solve the equation using the quadratic formula.
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| 17) Answer the following: A quadratic equation has how many solutions when the discriminant (a) is negative, (b) equals zero, or (c) is positive?
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For the following problems, find the discriminant, the number of solutions, and solve, if possible.
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| 18) For the equation shown below, (a) find the discriminant, (b) determine the number of real solutions, and (c) solve if the quadratic has real solutions.
Hint: Put the equation in the form Ax2 + Bx + C = 0 first.
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| 19) For the equation shown below, (a) find the discriminant, (b) determine the number of real solutions, and (c) solve if the quadratic has real solutions.
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| 20) For the equation shown below, (a) find the discriminant, (b) determine the number of real solutions, and (c) solve if the quadratic has real solutions.
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Review
Click here to review the unit content explanation for Expressions, Variables, and Properties.
Click here to review the unit content explanation for Integers and Equations.
Click here to review the unit content explanation for Polynomials.
Click here to review the unit content explanation for Linear Functions.
Click here to review the unit content explanation for Linear Graphs.
Click here to review the unit content explanation for Systems of Equations.
Click here to review the unit content explanation for More Systems of Equations.
Click here to review the unit content explanation for Factoring.
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| 24) Define a function.
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| 25) State the domain and the range of the given relation and determine if it is a function.
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| 28) Simplify the expression: (4a + 2) – (2a + 6)
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| 29) Factor the polynomial completely.
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| 30) Factor the polynomial completely.
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| 31) Factor the polynomial completely.
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| 32) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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