Math 017 Materials With Exercises

682 122k) 6 ( d a) a dl) 3a1(4a 2)3 2m) 3xy 7yx ( xy 3)n) 3cb abc 2( a bc)1 14 33 2o) a b ( a 2b)p) (6x 3x1) (3x 3x 3)3 32 32 3q) (1 4x 6x 7x) (5 4x 6x 7x) r) ( 0.2m 0.03) (2.3m 4)Ex.17 a) Students were asked to write2( A B) in its equivalent form without parentheses and collect2 2like terms of the resulting expression. One student claimed that the answer was A B , the other one22that it was A 2AB B . Was either of them right?2b) If you were asked to write ( A B) in its equivalent form without parentheses and thencollect like terms, what would be your answer?Ex.18 Write an equivalent expression without parentheses, and then collect like terms.4 22a) ( x 2)b) ( 3x1) 1 c) ( a 2)( a 4)d) ( 3b c)b c 2 12e) (3c x) 2(5x c)f) (1 x 2x)(2 x)33 2 2 g) ( a b)(a 2b)h) 2x 3 i) ( a 3b c) ( c a)j) 2(x 2y) 3(5x 3y)2k) 3x (4 x)(x 2)l) 5 a (3 2a)m) 6x 2 ( x 1)(3x 2) 2n)o) 3k 2 3k ( k 2)(2k 3)p) x4 m 2( m 1)422 2 29 ( x 3) 6xEx.19 Write each of the following expressions using algebraic symbols, then rewrite it in itsequivalent form without parentheses and, if necessary, collect like terms.a) Subtract 2xyfrom 3 yxb) The sum of 3x 1and 4x 2c) The difference of 4a 3 2aand 4a3 2d) The difference of a 2 3band 2 b a1 2e) The product of a and 2a3 5f) The product of x 222 y and 3y xg) The sum of mnk , 4 nmk , and 3mnh) The sum of 3 x and 2, then raised to the second poweri) The difference of 2 a and b , then raised to the second powerj) The product of 2 and 4x 1, then added to 5x 2Ex.20 Rewrite the expression a 2(a b) 5bin its equivalent form without parentheses, collectlike terms, and only then evaluate if22