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# Contoh soalan dan jawapan Algebra

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### Contoh soalan dan jawapan Algebra

1. 1. UNIVERSITI TUN HUSSEIN ONN MALAYSIA 86400 PARIT RAJA, BATU PAHAT TUGASAN INDIVIDU PROGRAM SARJANA MUDA PENDIDIKAN ( SEKOLAH RENDAH ) ALGEBRA ( BBR 23703 ) NAMA : NOR KHARI IZARDI BIN ISMAIL NO. K.PENGENALAN : 820101 – 06 – 6353 NO. MATRIK : DB 100058 PPG : SAINS SEKSYEN 3 NAMA PENSYARAH : DR. MUHD. SAIFULLAH BIN RUSIMAN
2. 2. BBR 23703 ALGEBRA INDIVIDUAL ASSIGNMENT NO. 1 Question 1 [5%] (a) Solve 3x² + 2x² - 5 = 0 by (i) completing the squares Solution 3x² + 2² = 0 3x² + 2x = 5 3x² + 2x= 5 3 3 3 x² + 2x = 5 3 3 x² + 2x + 3 ² = 5 + 3 ² 3 2 3 2 x² + 2x + 2 ² = 5 + 2 ² 3 6 3 6 x² + 2x + 1 ² = 5 + 1 ² 3 3 3 3
3. 3. x + 1 ² = 5 + 1 3 3 9 x + 1 ² = 16 3 9 x + 1 = ⁺₋ 16 3 9 x + 1 = ⁺₋ 4 3 3 x + 1 = 4 3 3 x = 4 - 1 atau x = - 4 - 1 3 3 3 3 x = 3 x = - 5 2 3 X = 1
4. 4. ii) Quadratic formula 3x2 + 2x – 5 = 0 a = 3 b = 2 c = -5 x = -b ± b2 – 4ac 2a x = - (2) ± (2)2 – 4 (3) (-5) 2 (3) x = -2 ± 4 – 12 ( -5) 6 x = -2 ± 64 6 x = -2 ± 8 6 x = -2 + 8 atau x = - 2 - 8 6 6 x = 1 atau x = - 1.667
5. 5. Question 2[ 5%] b. Show that -1 is the root of x3 –2x2 –x + 2 Hence, factorize completely. Solution: x3 –2x2 – x + 2 = [ –1 ]3 – 2 [ –1 ]2 – [ –1 ] + 2 = 0 Showed x3 – 2x2 – x + 2 = x [ x2 – 2x – 1 ] + 2
6. 6. BBR 23703 ALGEBRA INDIVIDUAL ASSIGNMENT NO. 2 Question 1 [6%] Sketch the graph and determine the domain and range. a. y = 2x + 7 Solution: y = 2x + 7 y x x 20 40 0 10 y 47 87 7 27
7. 7. b. y = -x2 + x + 4 y -1.56 -2.56 x x 0 2 -5 -6 y 4 2 -26 -38
8. 8. c. y = y x x 2 5 10 y 1 0.25 0.02 ____1____ [ x-3]2
9. 9. Question 2 [4%] Given f ( = + 4 , g ( + and h ( = 2 Calculate a) f o g f g ( = f = f = __3_ + 4 = _9_ + 4 ²
10. 10. b) f o g o h = fg = fg = _9_ + 4 ² = _9_ + 4 ²