Covers Lessons 18–20: coordinates, linear relationships and mixed practice from the whole unit.
Question 9 3 marks
(a) State the quadrant containing $(-3, 4)$. 1 mark
(b) Reflect $(5, -2)$ in the x-axis. 1 mark
(c) Three vertices of an axis-aligned rectangle are $(1, 1)$, $(6, 1)$ and $(6, 4)$. State the fourth vertex. 1 mark
(a) Quadrant II [1]
(b) $(5, 2)$ [1]
(c) $(1, 4)$ [1]
Question 10 3 marks
The line has equation $y = 2x - 3$.
(a) Find $y$ when $x = 4$. 1 mark
(b) State the gradient. 1 mark
(c) State the y-intercept. 1 mark
(a) $y = 2(4) - 3 = 5$ [1]
(b) Gradient $= 2$ [1]
(c) y-intercept $= -3$, at $(0, -3)$ [1]
Question 11 4 marks
(a) Find the nth-term rule for $4, 7, 10, 13, \ldots$. 2 marks
(b) Solve $4x - 7 = 2x + 5$. 2 marks
(a) The common difference is 3 [1], so $T_n = 3n + 1$ [1].
(b) $2x = 12$ [1], so $x = 6$ [1].