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CAMBRIDGE ASSESSMENT INTERNATIONAL EDUCATION (CAIE)0607/41
May/June 2024 Paper 41 (Extended) • IGCSE International Mathematics (0607)
base
[12 Marks]
1
Algebra, Simultaneous Equations & Modulus Inequalities
Worth 12 Marks • Medium Level
Answer all parts:
(a) Solve the equations:
(i)
(ii)
(b) Solve the simultaneous equations. You must show all your working:
(c) Solve the inequality:
Formula Guide:
(a)(i) 3x = -14 + 2 = -12 => x = -4.
(a)(ii) 7x + 3x = 26 - 11 => 10x = 15 => x = 1.5.
(b) Multiply (1) by 3: 15x + 9y = -45. Multiply (2) by 5: 15x + 25y = -85. Subtract: 16y = -40 => y = -2.5. Substitute: 5x + 3(-2.5) = -15 => 5x = -7.5 => x = -1.5.
(c) |2x + 1| > 9 means 2x + 1 > 9 or 2x + 1 < -9.
2x > 8 => x > 4, or 2x < -10 => x < -5.
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