1. (Algebra preparation) Simplify using fraction arith- metic as in Exercise 6.1. Be sure to give the reason 4. Prove b . ~ = a for b + 0 using Definition 6.2 and arith- for each equality by citing the rule or property used. metic properties. a) (( 7+ 5) : 2). 5. Kyle was unable to complete the problem he started: b ) SXY 00 1 CO 20 x 22:18 35 C) - 2 I co COIN d) 3 a) What caused his difficulty? b) Write a Teacher's Solution for Kyle's problem (be- gin by copying the problem, then write a succession 2. (Algebra preparation) Do the computations, leaving of small, clear steps linked by equal signs). your answer as a fraction in simplest form. 6. Simplify the following complex fractions (use your Men- a) (5+ 7) 3 : 3 tal Math skills to make the calculations easier by factoring 4 and cancelling). 34 b ) 5 - 6 : a) 40 3 b) 17 C ) 4 : ( 12 . 3 ) - 7 ) 132 C) d) 256 11 16 28.33.53 63.43 e ) x (2 + z) - zx e) f) 102.62 151.32 22 ( ) y ( 2 2 : 2 ) + 2 : " + g 00160/0Ol CO h) CT ALCO RICO 71 Prove that - = 1 for a # 0 using Definition 6.2 and the N - (15-3 - 125) multiplicative inverse property. i ) j) NO 123 + (59 - 9-3 )