Rational Expressions and Sequences Quiz Form
Test your understanding of rational expressions and sequences. Please answer all questions. This quiz is designed to assess your mastery of key concepts.
1. Simplify the following rational expression: (2x^2 - 8) / (4x)
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2. Which of the following is NOT a rational expression?
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A) (x^2 + 1) / (x - 3)
B) (2x + 5)
C) sqrt(x) / (x + 2)
D) (x^3 - 4) / (2x)
3. Find the domain of the rational expression: (x + 1) / (x^2 - 4)
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4. What is the sum of the first 5 terms of the arithmetic sequence: 3, 7, 11, ...?
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5. Which of the following represents a geometric sequence?
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A) 2, 4, 6, 8, ...
B) 3, 6, 12, 24, ...
C) 5, 10, 15, 20, ...
D) 7, 14, 21, 28, ...
6. If a sequence is defined by a_n = 2n + 1, what is the 10th term?
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7. Simplify and state any restrictions: (x^2 - 9) / (x^2 - x - 6)
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8. What is the common ratio of the geometric sequence: 5, 15, 45, 135, ...?
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9. Which of the following is equivalent to (x^2 - 4x + 4) / (x - 2)?
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A) x + 2
B) x - 2
C) x - 4
D) x - 2 (with x ≠2)
10. Write the formula for the nth term of the sequence: 2, 5, 8, 11, ...
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