Math 017 Materials With Exercises

3 ;b) x 3 y 6 xy 2 A xy 28. a) x 2 100 x 10x 107. a) 1 11y x3 ( 2) x 0 ; a , b 2, c 0b)4425 y 4 1 5 x 2 1 5 x 2 b) 7y x3 2x2 ; a 1, b 2, c 7 22_____________________________________________________________________________________Sample Test 2 (Lessons 10-11) Solutions_____________________________________________________________________________________1. b and c12. a) x < 2 b) x 4b) x ( 1) 0 ; a linear equation with33. a) x < 3 b) x 9 c) x 41d) x ≤ 9 e) all real numbersa , b 14. a) a 3b a ( 3b); A = a B 3b3c) x 0 0 ; a linear equation withm n m n m nb) ; A , B a 1, b 0,c 0 (note: other resultsk k k k kfor a are possible but b 0,c 0 for all65 a) 2 25 2 ; a 2 and n 6results)3b) 2xyz ; a 2xyz,n 38. a) 1 a 2 (1 a)(1 a)2 26. a) 2x + (-3)y = 5 so: a 2,b 3,c 5b) 2x 1 x (2x1x)(2x1x)b) either: 7x 3y 7so ( x 1)(3x1)a 7, b 3,c 7or 7x 3y 7 so 9. 127x3 1 3 3x 3a 7, b 3,c 72 1 3x13x 9xc) 1x 0y 0 a 1,b 0, c 07. a) not a linear equation_____________________________________________________________________________________Sample Test 3 (Lessons 10-11) Solutions____________________________________________________________________________________1. a)b) 6z 3 0;a 6 , b 07. a) 0.25 9x 2 (0.5 3x)(0.5 3x)b) x 12 2b) 3a1 2a ( a 1)(5a1)2. a) x 5b)x 7 3d) no solution e)3. a) x – 2 says that x 1x1b) saysthat x 224. A a 2, B 23 35. a) 8y 2y ; x 2yyy18 66b) 3; x yx 10 9c) x ≥ 66. a) 2z 3 1;a 2,b 1242c) 1y 1 y 2 221 y 1 y 1 y 1 y1 y8. a) 5x – 7 = 8 can become 5x – 15 = 0;linear equation a = 5 and b 15xb) 14 can become x 4 0 ; linearequation with a 1,b 4c) 2x 4 3xcan become x 8 0 ;linear equation a 1, b 83 32 2x y 1000 xy 10 x y 10xy1009. 2144Sample Tests Solutions