MATH Integrated Math III  - Unit 15: Quadratic Equations
For the first four problems, complete the square for each quadratic expression in order to form a perfect square trinomial, and then state the letter of the correct answer.

1) What is the completed perfect square for the given quadratic expression?

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2) What is the completed perfect square for the given quadratic expression?

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3) What is the completed perfect square for the given quadratic expression?

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4) What is the completed perfect square for the given quadratic expression?

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For the next four problems, solve each by completing the square. State the letter of the correct answer.

5) Complete the square and solve for “x”.

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6) Complete the square and solve for “x”.

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7) Complete the square and solve for “x”.

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8) Complete the square and solve for “x”.

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For the next four problems, transform each of the given functions into vertex form, and then select the correct vertex form from the choices shown below. State the letter of the correct vertex form.

9) State the letter of the vertex form that matches:

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10) State the letter of the vertex form that matches:

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11) State the letter of the vertex form that matches:

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12) State the letter of the vertex form that matches:

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For each quadratic function described in the next four problems, determine (a) the equation for the axis of symmetry and (b) the coordinates of the vertex.

13) What is the axis of symmetry? What are the coordinates of the vertex?

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14) What is the axis of symmetry? What are the coordinates of the vertex?

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15) What is the axis of symmetry? What are the coordinates of the vertex?

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16) What is the axis of symmetry? What are the coordinates of the vertex?

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17) Read the following scenario, decide if Rachel’s answer is correct, and then explain why or why not.

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Review

18) Multiply. State the letter of the correct answer.

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19) Multiply. State the letter of the correct answer.

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20) Find the determinant and state whether the matrix has an inverse.

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21) Write the matrix equation that represents the system, and then solve if possible. State each of the rows, and then the solution.

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22) Solve. State the letter of the correct answer.

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