Algebra 2: Rational Functions Test Review Sheet



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A2 Rational Test Review

Factor each expression:

1. -4x2 – 18x

2. x2 + 13x + 36

3. x2 – 2x – 35

4. 3x2 + 3x – 6

5. x2 – 16

6. -25x4 + 5x3 – 10x

Story Problem

7. A diver is standing on a platform and jumps from the platform. The equation h = -16t2 + 24t + 8, where h is his height above the water, t is the time. How long will it take for him to hit the water?

8. You and a friend are hiking in the mountains. You want to climb to a ledge that is 20ft above you. The height of the grappling hook you throw is given by the function. h = -16t2 + 32t + 5. What is the maximum height of the grappling hook?

State any restrictions on the expression:

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Simplify the rational expression. State any restrictions on the variable.

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Multiply or divide. State any restrictions on the variables.

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23. Find the least common multiple of: (x – 8)(x + 5) and (x + 9)(x + 9)(x – 8)

24. Find the least common multiple of [pic] and [pic].

25. Find the least common multiple of 4x + 16 and x2 – 16

Add or subtract. Simplify if possible.

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Solve the equation. Check the solution.

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