Class Test 2 AAQS023-4-2-NM Page 1 of 2 SECTION A (20 MARKS) ANSWER ALL QUESTIONS QUESTION 1 (4 Marks) Find the equation of the line that passes through the points (2, 10) and (-2, -6). QUESTION 2 (4 Marks) Find the value of q for which the equation qx 2 + 3x + 3 = 0 has one real root. QUESTION 3 (4 Marks) Solve 3x 2 + 2 x + 9 = 0 using the quadratic formula. QUESTION 4 (4 Marks) 3 4 x5 y Simplify . 4 16 xy QUESTION 5 (4 Marks) Given that loga 27 = 1.431, then find the value of loga 9 . SECTION B (30 MARKS) ANSWER ALL QUESTIONS QUESTION 1 (10 Marks) Solve the simultaneous equation 2 x − 25 y = 17 15 y − x = −6 QUESTION 2 (10 Marks) (a) Given y = 2 x 2 + x − 10 , find the turning point, x-intercepts, and y-intercept. (b) (6 marks) Referring to informations obtained in part (a), sketch the graph of y = 2 x + x − 10 . (4 marks) 2 QUESTION 3 (10 Marks) Solve each of the following equations. 7 x = 10 (a) (3 marks) (b) log 2 y = 9 log 2 y (7 marks) Diploma Asia Pacific University of Technology & Innovation YYYY Class Test 2 AAQS023-4-2-NM Page 2 of 2 Formulae Quadratic equation 2 If ax + bx + c = 0, a 0 x= 2 If ax + bx + c = 0, a 0 has roots and , − b b 2 − 4ac 2a b b2 Turning point = − ,− + c 2a 4a b a + = − , = c a Exponential and logarithm am an = am + n am an = am – n (am)n = amn (ab)n = anbn 1 a-n = n a m a n = n a m = (n a ) m a0 = 1 Diploma loga (xy) = loga x + loga y x loga ( ) = loga x – loga y y log a x n = n log a x loga a = 1 loga 1 = 0 log c b log a b = log c a Asia Pacific University of Technology & Innovation YYYY