Questions

MATH Integrated Math III - Unit 31: Hyperbolas and Solving Quadratic Systems

For the first four problems, determine the standard equation of each hyperbola, and then state the letter of the correct answer.

1) Write the standard equation of the hyperbola.

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2) Write the standard equation of the hyperbola.

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3) Write the standard equation of the hyperbola.

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4) Write the standard equation of the hyperbola.

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For the next five problems, solve the system of equations. State the answers as ordered pairs.

5) Use substitution to solve the system.

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6) Use substitution to solve the system.

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7) Use elimination to solve the system.

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8) Use elimination to solve the system.

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9) Use elimination to solve the system.

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For the next five problems, write each equation in standard form, and then classify it as a circle, ellipse, hyperbola, or parabola.

10) Circle, ellipse, hyperbola, or parabola?

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11) Circle, ellipse, hyperbola, or parabola?

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12) Circle, ellipse, hyperbola, or parabola?

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13) Circle, ellipse, hyperbola, or parabola?

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14) Circle, ellipse, hyperbola, or parabola?

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Review

15) Solve for “x”.

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16) Simplify. State the letter of the correct answer.

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17) Find the difference. State the letter of the correct answer.

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18) Use substitution to solve the system of equations. State the answer as an ordered pair.

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19) Use elimination to solve the system of equations. State the answer as an ordered pair.

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20) Solve for “x”.

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21) Write the expression as a single logarithm and then simplify, if possible.

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22) Factor.

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23) Solve for “x”.

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24) Solve the absolute value equation for “x”.

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