Math 017 Materials With Exercises

27 a) 0 b) −628 a) addition, 7+x b) multiplication c) multiplication , 12x d) addition , 7xe) exponentiation, x∙8 f) subtraction 1x29 a) (3 )x ( 4)x 81 b) 5 c) 9 3 270.2 x Lesson 31 In the expression x 2yterms.4 2 ,24x and22 a) 3 , x b) ab, cd c) , 2y, 122 y are called factors . In the expression 4x 2 2y,xy2d) (2 b), , z3 All these expressions are equal (equivalent) because of the commutative property of addition.4 a) m n 1, n m 1; they are not equivalent. b) True24x and2 y are called5 a) Terms: 2 m, z ; 2m z z 2mb) Terms: x , 2 ; x 2 2 x c) Terms: 3c, 2 ; 3c 2 2 3c33 32 y22 2x, 222 y y x 2 2x22 2e) Terms: c( d f ), y ; c(d f ) y y c(d f )2 s 22 s 2 s 22 ( x y), ; ( x y) ( x y)33 3x mn 2 mn 2 b) 3(2a 3b) 4x 4x 3(2a 3b)d) Terms:f) Terms:6 a) x7 a) Terms: x 2 3 232 3 32 , x x ; x x x x x x x x x (answers vary)3b) Terms: , 2 ,x2 2 3x3x2 3x2 a bc ; a 2bc a 2bc 2bc a (answers vary)22 228 (1) -- (C), (2) -- (E), (3) --(A) , (4) --(B), (5)-- (D9 a) 2 a ; factors: 2, a b) 3 ( a b); factors: 3,( a b)c)2 3x ; factors: 3, x,2 d) 4 ( x y)(b c); factors: 4,( x y),( b c)yymn b) 57 7( 5)c) cd d( c)d) c( a d) ( a d)(c)vst stv svt b) v ( x y)t vt(x y) ( x y)vt ( x y)tv .10 a) nm11 a) tsv12 a) All these expressions are equal (equivalent) because of the commutative property of multiplicationb) 3AB 312 6; BA 3 213 1when A 1 and B 2 , thus they are not equivalent,13 They are all equivalent because of the commutative property of addition and multiplication142 5 2 5 a 6 a 6 aa) b) c)a 222b c b cd) 2227 7 7 3 3 3 a b a b a b ab c ab c ab c1522m n7m n5m 2nA B 2Ca)b)c)d)444c 2x164 7 27m n 3 m 3 ta)b)c)54xs 1172 x 2 2 2 ( a 2b)1 1a) x b) 2 c) x d) 2 e) x f) ( a 2b)3y 3y 3 3183m 3(m)a( b) a( b)( s 4)t4( a)a) b)c)d)e)f)n n44n n 1Answers to Exercises 119xy