algebra grade 12 question and memorandum

MATHEMATICS



MATERIAL FOR GRADE 12



ALGEBRA
QUESTIONS
COMPILED BY: P. EDEM




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, QUESTION 1

1.1 Solve for x:

1.1.1 (x2 − 4)(x− 2) = 0 (3)

1.1.2 1 − x − 𝑥2 = 0 (3)

1.1.3 2x2  2 x2  2x  42 (4)


1.2 Solve for x in the following:

1.2.1 √4x − 11 = −1 (1)

1.2.2 √4x − 11 = 2 − x (4)

1.3 −x2 + 5x ≤ 4 (5)

1.4 Determine an ordered pair (x; y) which satisfies the equation.
(2q + x)2 = 4q2 + 12q + y (5)
[25]
QUESTION 2

2.1 Solve for x in the following:
2.1.1 4x2 = 25 (2)
2.1.2 (a) x2 – 5x = 2 (4)
(b) Hence, or otherwise, solve (x − 2)2 – 5x + 8 = 0. (3)
2.1.3 (2 − x)(x + 4) ≥ 0 (3)
1
2.1.4 3x+1 − 4 + (5)
3x



2.2 Solve for x and y simultaneously:

2x − y + 1 = 0

x2 – 3y − 4 − y = y2 (6)

2.3 Given: x = ±√b² - 9
-2


Determine the value(s) of b for which x is a real number. (3)

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