Intermediate Algebra MA 0103
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This 7 page Class Notes was uploaded by Kihra Carpenter on Wednesday September 16, 2015. The Class Notes belongs to MA 0103 at Mississippi State University taught by Jonathan Eaton in Fall 2015. Since its upload, it has received 35 views. For similar materials see Lecture in Mathematics (M) at Mississippi State University.
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Date Created: 09/16/15
Kihra L Carpenter Intermediate Algebra ProfessorJonathan Eaton Week 1 AddingSubtracting Real Numbers Same Signs Keep sign combine the numbers Different Signs Take the difference of the numbers and use the sign of the larger value MultiplyingDividing Same Signs The answer is positive Different Signs The answer is negative Examples 13107 211 1526 33912 4211 79 29 711 59 911 99 Final Answer 5999 53gtlt927 6 5x 420 714gtlt29236 118 8422 91644 10 07 0 11 7O Unde ned Absolute Value measure the distance that the number is from 0 measurements are always positive 1 12 12 2353 5 8 8 3 6 464 2 Exponential Expressions a n axaxaxaa 2 42x2x2x2 16 N is the base and a n is the exponential expression 16 236 6x636 24 364 4x 4 x 4 64 3 25 quot2425 25 x25425 Order of Operations PEMDAS Parenthesis Exponents Multiplication Division Addition Subtraction Always work from left to right 16A22x43 362x43 18x43 72375 26462 3 6x22 3 6x28 1284 3 6 7 5 6716 4230O 12O Unde ned Combining Like Terms L2x3x 5x 28yy3y 10y 32x5 2x10 45x32x4 5x152x8 7x23 J 116 4 A linear equation in one variable is an equation that can be written in the form AxBC For all real numbers A B C the equations are equivalent ABBCltgt AB ACBCltgtAB To solve a linear equation in one variable 1Get rid of fractions mutipy everything by the common denominator 2Simplify like terms on each side of the equal sign 3lsoate the variable and put terms with a letter 4Sove divide by the number in front of the letter Examples 12x576x 6x 6x 4x57 5 5 4x12 4X4124 3 2x53xx6 2x103xx6 5x10x6 x x 4x106 101O 4x16 4X4164 4 Applications The length of a rectangle is 1cm more than twice the width The perimeter of the rectangle is 110cm Find the length of the rectangle P22w wx l2x1 11022x12x 1104x22x 1106x2 2 2 1086x 10866X6 X18 18cm wide 218137 37 cm long A chemist must mix 8L of a 40 acid solution with some 70 solution to get a 50 solution How much of the 70 solution should be used 8L of 40 x of 70 8x of 50 408 70x 508x 32070x40050x 50x 50x 32020x400 320 320 20x80 20X208020 4L
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