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Solving Monic Quadratic Equations — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet

Australian Curriculum (ACARA)
Grade 9
Mathematics
40 questions

Solving monic quadratic equations with integer roots algebraically (ACARA AC9M9A04), from an algebraic-solving angle.

  • One Word Answer
  • True or False

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Solving Monic Quadratic Equations

A worksheet on solving monic quadratic equations of the form x^2 + bx + c = 0 algebraically. Total: 80 marks.

Section A: True or False [40 Marks]

Determine if each statement is true or false. Explain your reasoning.

The equation x^2 - 4x + 3 = 0 has roots x=1 and x=3. True or False? Explain your reasoning.

If (x-5)(x+2) = 0, then the solutions are x=-5 and x=2. True or False? Explain your reasoning.

The quadratic expression x^2 + 6x + 8 can be factored into (x+2)(x+4). True or False? Explain your reasoning.

x=0 is a solution to the equation x^2 - 9x = 0. True or False? Explain your reasoning.

The equation x^2 + 25 = 0 has two integer roots. True or False? Explain your reasoning.

Section B: Find the Solutions [40 Marks]

Solve the following quadratic equations. State all solutions.

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