Home / CIE iGCSE Maths E3.3 Gradient of linear graphs Exam Style Practice Questions- Paper 2

CIE iGCSE Maths E3.3 Gradient of linear graphs Exam Style Practice Questions- Paper 2

Question

(a) Write down the gradient of the line y=5x+7.

(b) Find the coordinates of the point where the line y=5x+7 crosses the y-axis

▶️ Answer/Explanation
Answers:
(a) 5
(b) (0, 7)
Explanation:
(a) In the equation y=mx+c, ‘m’ is the gradient. Here m=5.
(b) The y-intercept occurs when x=0. Plugging x=0 into the equation gives y=7, so the point is (0,7).
Question

Simplify: \(\frac{x^{2}-5x}{2x^{2}-50}\)

▶️ Answer/Explanation
Answer: \(\frac{x}{2(x+5)}\) or \(\frac{x}{2x+10}\)
1) Factor numerator: \(x(x-5)\).
2) Factor denominator: \(2(x-5)(x+5)\).
3) Cancel \((x-5)\) terms and simplify.
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