May 5, 2009 Review of 10.4 and Chapter 10 study guide

p. 705 # 2-42 even, # even 2) 6i 4) -5i 6) i √19 8) 2i √6 10) -8i √3 12) 6+8i 14) -7+4i 16) 4+i 18) 9+2i 20) 5+8i 22) 10+3i 24) 2-4i 26) 0 28) -6+14i 30) -6+12i 32) i

p. 705 # 2-42 even, # even, continued 34) -3+2i 36) 13-11i 38) 25-8i 40) 11+23i 42) 40+42i 52) 3+5i 54) -3+2i 56) 10-15i/13 58) -3+5i/2 60) 13+i/17 62)45+28i/53

Study Guide answers 1) 2) x 3) 4) 16 5) 1/27 6) 1+9i 7) i 8)

Ameena’s tips for the test I hope my students remember about: The rules for exponents How to simplify radicals How to evaluate rational exponents on their calculators All about imaginary numbers

The rules for exponents Back to Ameena’s tipsAmeena’s

How to simplify radicals Make a factor tree Look for groups based on the radical’s index. Move groups to the outside; leave non-groups on the inside. Example: Back to Ameena’s tipsAmeena’s

How to evaluate rational exponents on the calculator If the exponent is negative, move the base and exponent to the denominator and remove the negative. Evaluate the base and exponent (m/n), using base ^ (m/n) or base [y x ] (m/n) Back to Ameena’s tipsAmeena’s

All about imaginary numbers Remember… You can only add and subtract like terms. When you multiply, use FOIL or a similar method, and remember to replace i 2 with -1. When you are dealing with division, remember to multiply the numerator and the denominator by the conjugate of the denominator. Back to Ameena’s tipsAmeena’s