Math 017 Materials With Exercises

7 a) Yes b) No c) Yes8 a) No b) Yes c) No d) Yes9 a) Yes b) Yes c) No10 a) algebraic expression b) equation; −3 is a solution c) equation; −3 is not a solutiond) equation; −3 is not a solution e) algebraic expression f) equation; −3 is a solution11 a) algebraic expression b) equation; 0.6 is a solution c) equation; 0.6 is a solutiond) algebraic expression e) equation; 0.6 is a solution f) equation; 0.6 is not a solution12 a) equation; −1 b) algebraic expression c) equation; 0 or 1 d) equation; 1 e) algebraic expression f) equation;13 a) −2 b) 3 (answers vary; any number different from −2)14 a) 5 b) 5 (answers vary; any number different from −5.)15 a) a solution b) a solution c) a solution d) not a solution e) not a solution f) a solution16 For example, −2, −1, 0, 1 (answers vary; every number is a solution of this equation)17 We can only divide by a variable if we assume it is not 0. It is better if we always try to avoid dividing by a variable or byan algebraic expression. A better way to solve this equation is: x = 2x; x −2x = 2x−2x; x = 018 a) x= −3 b) x = 6 c) x= 5 d) x = −20 e) −50 f) x= −3 g) x= −2 h) x= −819 a) x=−4 b) x= 3 c) x= −34d) x 5e) x= −18 f) x= −52012 523a) x b) x c) x= 0 d) x e) x 5 778f) x= −121 f) x= 6 g) x= −1 c) x= −8 h) x= −1 e) x= 6 f) x= 122 a) no solution b) x= 0 (exactly one solution) c) all real numbers d) no solution e) all real numbers23 a) x= −2 b) a= −60 c) x= 7 d) x=0 e) a= 0 f) x= 5 g) y= 222 1121h) y i) x= 0 j) x= −6 k) x l) a= 10 m) B 6 356n) x= 3 o) all real numbersLesson 9p) x= −2 q)1 a) x 18b)2 a) no solution b)3 a) x 0 b)4 a) x 8b)5 a) no solution b)13x r) no solution s) no solution t) no solution u)25x c) 15 162 1x c) 5 4g) x 0 h)10211x 5c) x 02 11x c) x 7 212a c) a 77x 1 2x b) x abx b) x b ac bx acx a bx d)a d)x i) all real numbers j)6 No. 5yis not an equation, so we can not solve it.7 a) 148 a) 59 a) x 6 b)10 a) x 2 b)8x 5e) 21 64 13x k) 9 8y f)x e) no solution f)x l)75x v) x= 21x 61x 49x 2Answers to Exercises 127