Math 017 Materials With Exercises

Ex.5 First write each of the following statements as an algebraic expression using parentheses whereappropriate, and then rewrite it again in its equivalent form without parentheses.a) The product of x 2 y and 5b) The opposite of 4x1c) The product a and c 1d) The product of 2 y and a 2 b de) The product of x 1and y3 2f) The opposite ofx x2 2x4Ex.6Write the following expressions in five different equivalent ways.a) 3(a b)b) ( 2 y) zEx.7 Circle all expressions that are equivalent to m( n p).mn mp ( n p)m pm nm mn p mp nmEx.8 Circle all expressions that are equivalent to ( x y z).( 1)( x y z)( x y z)(1) 1(x y z)( x y z)1 x y z x y z x y z ( x z y)Ex.9 a) After factoring a common factor from a two term expression, how many terms should youhave inside parentheses?b) After factoring a common factor from a three term expression, how many terms should youhave inside parentheses?c) After factoring a common factor from an m-term expression, how many terms should youhave inside parentheses?Ex.10 Factora) 5 from the expression 5x 5yb) 7 from the expression 7 49a2c) c from the expression 3c 2c6d) y from the expression 8 xy y3e) 11 t from the expression 11t 44tf) 2 from the 2lw 2lh 2wh3 2g) x from the expression 4x 5x 5xEx.11 Factor xy from the following expressions2a) 2xy a xy2 2b) x y xyc) axy xby yxEx.12 Factor 1 from a) 3+ x b) a b 1c)x y za 257