Purpose: Confirm prerequisite skills (Grade 10 algebra) before tackling quadratics in depth.
Prerequisite Skills
Question 1 [3 marks]
Expand and simplify \( (x - 4)(x + 6) \).
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Question 2 [3 marks]
Factor \( x^2 + 5x - 14 \).
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Question 3 [3 marks]
Solve \( x^2 - 7x + 12 = 0 \) by factoring.
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Question 4 [3 marks]
Identify the vertex of \( y = (x - 4)^2 + 2 \). State whether it is a maximum or minimum.
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Question 5 [3 marks]
Use the quadratic formula to solve \( x^2 + 2x - 5 = 0 \). Round to two decimal places.
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Question 6 [3 marks]
Find the x- and y-intercepts of \( y = x^2 - 4x + 3 \).
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Reflection
Question 7 [Reflection]
Which technique do you find most challenging: factoring trinomials, completing the square, applying the quadratic formula, or graphing parabolas? Explain.
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