Math 017 Materials With Exercises

Mistake 5.1When factoring 3 from 3x 3y 3,3x 3y 3 3( x y)Instead, 3x 3y 3 3( x y 1).Common mistakes and misconceptionsMistake 5.2x 1 1 . Remember that only factors can be cancelled, not terms.xExercises with Answers (For answers see Appendix A)In all exercises of this lesson, we assume that denominators are different from zero.Ex.1 The Distributive Law states that c( a b) ca cb . Explain how we can use it to write anequivalent expression without parentheses. from the expression ( a b)c .Ex.2Write an equivalent expression without parentheses.L Wa) 2 b) R1 xc) P rtR2 2 r1 d) se) ( 3 xy)f) ( x 2 7z)x5g) c(2a c c )h) ( a a2 2)Ex.3 The Distributive Law applied to the product of two sums states:( x y)(b c) xb yb xc ycCan we instead state it as ( x y)(b c) xb xc yb yc ? Why? Reformulate the Distributive Lawin four different ways.Ex.4Write an equivalent expression without parentheses.54 3a) F 18b) 3y(6y 8y)9242c) ( x 2x)xd) (3c 33d)3223 3 4e) a(a ab ab )f) (2x y xy ) xy723g) ( x y)(z w)h) ( a b)(10 a )53 2i) ( a b g)(c d)j) ( x x x 1)(y 1)1k) (4x 8)(2y 3)l) ( 2a1)(1 b)(c 2)456