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Note for MATH 124 with Professor Petrov at UA

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This 4 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Arizona taught by a professor in Fall. Since its upload, it has received 26 views.

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Date Created: 02/06/15
Algebra Worksheet USEFUL FORMULAS LAWS OF EXPONENTS nmi nm fin n iln nmi Wm 07 aa 7a Eia ia 170 ail ARITHMETIC FORMULAS aib ab 12492 ab2 LZ21ll27 aib2 a272abb2 RULES CONCERNING LOGARITHMS log10 a7 lne a 101 g 17 em a loga b loga logb7 lna b lna lnb bug logltagt 7 loge Inlt gt 1nltagt 7 may loga7 r loga7 lnaT r log1 07 1n1 0 Ma RULES ABOUT SOLVING EQUATIONS 0 Whenever you divide by some number make sure it is not 0 o If a fraction is 0 then this means its numerator is 07 ie 996 0 If a product is equal to 0 than one of its parts is zero7 so Check all of them7 ie fx 0 gt solve fx 0 and g 0 0 Know the quadratic formula and remember that if z2bxc 0 has roots a and B then x2 bx 0 x 7 a x 76 0 gt fx0 1 Decide if the following are TRUE or FALSE A t2 4 t 2 13 25am 5 C If g x2 then g h x2 h D 23 At B 6m 67m2 62m 2 6721 1 96 7 y96 y 96 102 J7JTH CW K lf 1t 7xiathent177xa L If 2x72 7theni5 2 Solve for t t 7 5t1 11 3 Solve for 0 4 Solve for y in terms of x x2 By 77xy 11 5 Does the following equation determine y as a function of x y2 7 3 s ax 6 Solve for T and simplify as much as possible Til T7 7 Simplify completely p 1p 139 pp 1 8 Simplify completely 274 772 xQyz 7 6y y2 W 49x2 7 28x 4 9 Write as a single log log 22 log 10 logy 7 x 7logy 712loga 7 11 loge 10 Find or simplify the following expressions A W 7 B s 7 7 7 49 7 c 7ltz 7 5 7 D 321 1gtlt17 3y 7 E 13 7 3mg 3 7 F Jim 7 G 710g11 7 L logc loga logb log logn 7 N 7 3111 522 1129 3109 523 1129 11 Factor the following expressions A My 7 3 153 7 y B 7x2 14z 7 21 C By 13211 D x2 7 z 7 1 E 71z1z2721

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