GRADE 11 MATHEMATICS TERM 2 MEMORANDUM

� GRADE 11 MATHEMATICS – TERM 2 TEST: MEMORANDUM

TOTAL: 100 MARKS



QUESTION 1: ALGEBRA, EQUATIONS & INEQUALITIES (25 MARKS)

1.1 Simplify fully:
1.1.1 2(x+3)^2 - 3(x-1)(x+2) (4)
= 2(x^2 + 6x + 9) - 3(x^2 + x - 2) ✔
= 2x^2 + 12x + 18 - 3x^2 - 3x + 6 ✔
= -x^2 + 9x + 24 ✔✔

1.1.2 \frac{x^2 - 16}{3x^2 + 10x + 8} \times \frac{2x+4}{x^2 -4x} (4)
= \frac{(x-4)(x+4)}{(3x+2)(x+4)} \times \frac{2(x+2)}{x(x-4)} ✔
= Cancel common factors ✔
= \frac{2(x+2)}{x(3x+2)} ✔✔

1.2 Solve for x :
1.2.1 x^2 + 3x - 40 = 0 (3)
= (x + 8)(x - 5) = 0 ✔
= x = -8 ✔
= x=5 ✔

1.2.2 3x^2 - 2x - 5 = 0 (4)
= Quadratic formula substitution ✔
= Discriminant calculation ✔
= x ≈ 1.87 ✔
= x ≈ -0.54 ✔

1.2.3 \sqrt{3x - 2} = x (4)
= 3x - 2 = x^2 ✔
= (x - 1)(x - 2) = 0 ✔
= Check valid solution ✔
= x=2 ✔

1.2.4 2x^2 - 5x - 3 > 0 (6)
= Critical values x = -0.5 ✔
= Critical values x = 3 ✔
= Test intervals ✔✔
= x < -0.5 ✔
= x>3 ✔



QUESTION 2: FUNCTIONS & GRAPHS (25 MARKS)

2.1 Given f(x) = -x^2 + 2x + 8 :
2.1.1 Turning point (2)
= x=1 ✔