MAP4C Maddin Name: Exponential Manipulations Curriculum Expectations R Level 1 Level 2 Level 3 Level 4 M1: evaluate powers with rational exponents, simplify algebraic expressions involving exponents, and solve problems involving exponential with limited with Insufficient with some with a high effectiveness effectiveness considerable degree of equations graphically and using common bases effectiveness effectiveness 1. Simplify. Express final answers using positive exponents only. . sand nommos 6 gribnit vo noisups ross avloe .2 a) n' x n b ) ( m 3 ) - 2 c) 4m) 3m d) 9x2 e) f ) d' x d' x d xnot evic2 .a 201 2 (5 2. Evaluate if possible. If not possible, explain why. a) 625 4 b ) V- 27 c) (-100)2 vino atnenoqxe evilizod flaw ashw 5 3. Write each of the following as a single power with base 5. a) 3125 b ) 252 c) 125anoffsluginsM (sunsnoqx3 nibbsM 4. Simplify FIRST using the exponent rules first, then evaluate if a =4 , b=2, C=1 ( lub() 2a'b'c a ( 403)2 atnonoqxe Isnonet flaw axework sisulever IM emos miliw ezanovitselfa Meloilluant Isitnanoqxe anivlovni ensidora evine bone asasd nommos gileu be vilsaidasis anonsups 5. Solve each equation by finding a common base. a) 25x = 162 vino atnonoqxe evilia b) 25x-4 anigg 512 tswans land ezsroxa viilami b x ob x b / (9 6. Solve for x. J I w a) 5x* = 405 b) x2 = 8 vow nislaxs ,aldizzoq fon 11 oldizzoy li stsulev3 .S (001 -) (3 asd ( 6 7. Write with positive exponents only. (6x 23 ) (4x 15 ) 12x y e sasd paw lewoq signia & 26 gniwollot art to rboss edW EST 15S. What is x. Solve to 1 decimal places. 5.3 = 120 nwork nortaupe navig arts minsasigs 9. Sam takes Ibuprofen for her nagging backache. Every hour that the Ibuprofen is in her system, a quarter of the medicine dissolves in her body. (These are made up facts. Always consult your physician or pharmacist before taking medication). This can be modelled by the equation: A = 800(0.75)' a) Complete the following let statements inevennutini blow isrw CMA (noseuss wov sou mid) pulse )sain edi al saw (d Let A represent Let t represent b) What is the initial dose Sam takes? c) At what rate (%) is Ibuprofen decreasing in the body? d) How much will be in his system after 2hours? e) When there is less than 200mg of medicine left In the body, it is safe to take it again. How long will it take before Sam can take more medicine? (hint: may require trial and error)10. The graph of = 10(2*) is shown. 10pooo a) Use a real-world situation to explain what these numbers might represent in the given equation. jensup 6 , metzve red ni zi netorqud 50000 10 nslievrig iwov luanoo zy81 40ooo noisup 30ooo 20000 b) What is the initial value (hint: use your equation) AND what would this represent in your scenario? refty LebLeesUF c) At what rate is this increasing? Sealst m62 9zob Isdini sri zi IsW (d fvbod srli ni aniass1asb nato qual al (6) Sign isnw JA to d) Explain how you could use the graph to solve for y = 64000. What does this mean in your scenario? SawonS lets medeva eid al ed lliw naum wol (b tilliw anol woh .miss ti exist of sise zill ybod edt nil niel erialbar to amoOs nerdy ezel al sued nerdW (s