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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 next four 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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| 12) Explain the solution to the previous problem.
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
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The Quadratic Formula
For the next four problems, solve each equation using the quadratic formula.
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| 14) Solve for “x.”
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| 15) Solve the equation using the quadratic formula.
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| 17) What part of the quadratic formula can be used to determine the type and the number of solutions?
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| 18) 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 next four problems, find the discriminant, the number of solutions, and solve, if possible.
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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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| 21) 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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| 22) 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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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice workshee
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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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| 27) Define a function.
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| 28) State the domain and the range of the given relation and determine if it is a function.
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| 30) Determine the equation of the line that passes through (–4, 1) and is perpendicular to the equation shown below.
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| 32) Solve the system of equations using any method.
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| 33) Simplify the expression: (4a + 2) – (2a + 6)
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| 34) Simplify the expression: (5x + 6y) + (–3x + 8y)
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| 35) Factor the polynomial completely.
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| 36) Factor the polynomial completely.
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| 37) Factor the polynomial completely.
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| 38) Factor the polynomial completely.
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| 39) Solve the equation by factoring.
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| 40) Solve the equation by factoring.
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| 41) 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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