Q33 Prep 3 Algebra Question Bank

a) The simplest form of the algebraic fraction \( \frac{x^2 - 5x + 6}{x - 3} \) is ...... where \( x \neq 3 \)

a) \( x - 3 \)

b) \( \frac{x - 2}{x - 3} \)

c) \( x - 2 \)

d) \( \frac{1}{x - 2} \)

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b) The simplest form of the function \( f : f(x) = \frac{4 - x}{x - 4} \) where \( x \neq 4 \) is ......

a) 4

b) -4

c) 1

d) -1

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c) The simplest form of the function \( n : n(x) = \frac{4x^2 - 2x}{2x} , x \neq 0 \) is ......

a) \( 4x^2 \)

b) \( 4x \)

c) \( 2x \)

d) \( 2x - 1 \)

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d) The algebraic fraction \( \frac{1}{x} \) equals the algebraic fraction ...... where \( x \neq 0 \)

a) \( \frac{x}{x^2} \)

b) \( \frac{1}{x^2} \)

c) \( \frac{x}{2} \)

d) \( \frac{x + 1}{x} \)

a) Correct answer: c) \( x - 2 \)

b) Correct answer: d) -1

c) Correct answer: d) \( 2x - 1 \)

d) Correct answer: a) \( \frac{x}{x^2} \)