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LECTURE 15: MIDTERM REVIEW IMA 101 Basic Mathematics 7/29/ IMA101 Basic Mathematics

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Midterm Information Time and Location: Tuesday August 3, 2010 15:30 – 17:30 PC 401 7/29/ IMA101 Basic Mathematics

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Things you may bring to the midterm: Yourself A pencil and eraser A pen (blue/black ink only) One extra pen or pencil ONE A4 sheet with whatever notes you want to put on it (front and back) A wrist watch without calculator capabilities A clear plastic bottle of water English language dictionary 7/29/ IMA101 Basic Mathematics

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Things you may not bring to the midterm: You are not allowed to use a calculator the questions will be designed so that it will not be necessary You are not allowed to use your cell phone Please bring a wristwatch if you need to check the time Food or drink (aside from water) The midterm is 2 hours long, please wait until the end of the midterm to eat or drink Notes or books aside from one A4 sheet of paper or a dictionary 7/29/ IMA101 Basic Mathematics

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Cheating What is considered cheating? Cheating is: Communicating with another student during the time of the exam Using any external resources aside from the permitted single sheet of A4 notes Looking at or attempting to use another student’s work Behaving in a disruptive manner during the exam period 7/29/ IMA101 Basic Mathematics

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Cheating Why do people cheat? Don’t study enough Insecurity Fall behind on the material Worried about not getting a good grade What happens if you cheat? You will be caught You will be expelled from the exam room and not permitted to complete the exam See handbook (read in class) You will lose my respect 7/29/ IMA101 Basic Mathematics

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Cheating Please do not cheat 7/29/ IMA101 Basic Mathematics

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Midterm Overview Questions are based on homework, lectures, and assigned reading Today: topics overview Tomorrow 2pm: question/answer session Graded assignments will be returned during the Q/A 7/29/ IMA101 Basic Mathematics

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Midterm format 10 questions Similar to what you have seen on the homework Some word problems, some calculation, some conceptual Divided equally among the topics 20% of the midterm from each week 10% from each lecture (lecture 2 included with lecture 3) Note: some questions might combine topics 7/29/ IMA101 Basic Mathematics

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Numbers: Lecture 2 Whole numbers Operations: Addition Subtraction Multiplication Division Order of operations Prime numbers Prime factorization Introduction to exponents 7/29/ IMA101 Basic Mathematics

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Numbers: Lecture 3 Integers Negative numbers Ordering numbers Absolute value Exponents with integer bases Rational numbers Fractions Equivalent fraction Simplification The reciprocal The least common denominator (LCD) Operations: Addition Subtraction Multiplication Division Order of operations 7/29/ IMA101 Basic Mathematics

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Numbers: Lecture 4 Decimals Dividing/multiplying by 10 Rounding Fractions decimals Repeating decimals Introduction to square roots Using prime factorization Operations: Addition Subtraction Multiplication Division Order of operations 7/29/ IMA101 Basic Mathematics

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Numbers: Lecture 5, 6 7/29/2010 IMA101 Basic Mathematics 13 Percents Percents fractions Percents decimals Repeating decimals and approximations percent = amount/ base Ratios Proportions cross-multiplication Unit conversions

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Weeks 1 & 2 7/29/2010 IMA101 Basic Mathematics 14 Number sets Relationship among them Order of operations

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Algebra: Lecture 7 7/29/2010 IMA101 Basic Mathematics 15 Solving linear equalities Isolate terms with the variable Multiply to get just the variable Using the distributive property Using the LCD Word problems Distance = rate * time Equivalent rates Earning Interest

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Algebra: Lecture 7 7/29/2010 IMA101 Basic Mathematics 16 Properties of equalities Solving linear equalities Isolate terms with the variable Multiply to get just the variable Using the distributive property Using the LCD Word problems Distance = rate * time Equivalent rates Earning Interest

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Algebra: Lecture 8 7/29/2010 IMA101 Basic Mathematics 17 Properties of inequalities Multiplying by a negative Solving linear inequalities On the number line Interval notation Linear inequality word problems Equalities with absolute value Inequalities with absolute value Absolute value word problems

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Algebra: Lectures 9, 10 7/29/2010 IMA101 Basic Mathematics 18 Exponent properties (integers and rational n) Exponent of one Exponent of zero Negative exponent Product of two exponents (same base) Quotient of two exponents (same base) Raising an exponent to another exponent Distributing the exponent (different bases) Fraction shortcut Powers to know

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Algebra: Lectures 9, 10 7/29/2010 IMA101 Basic Mathematics 19 Rational exponents and the n th root Rationalization (using special factorizations) Radicals Properties & simplification Solving quadratic equations Factoring and distributing (FOIL) Zero-factor property Square root property Completing the square The quadratic formula When no solution exists

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Algebra: Lecture 11 7/29/2010 IMA101 Basic Mathematics 20 Polynomials Distribution and factoring Special factorizations Pascal’s triangle and the binomial expansion Rationals Properties simplification Constraining the variable

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Algebra: Lecture 12 7/29/2010 IMA101 Basic Mathematics 21 Polynomial inequalities Zero factor property and number line Rational inequality Don’t multiply by the denominator

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TOPICS Number sets: Whole numbers, integers, fractions, decimals Operations on numbers (order of operations) Percents: Converting to decimals/fractions, solving word problems Ratios and Proportions Unit Conversions Applications Linear equality and inequality Applications: rates, DTR, interest rates Absolute value equalities & inequalities Applications: Quadratic equations: zero factor property, square root property, completing the square, quadratic formula Integer and rational exponents/radicals: Simplifying expressions Polynomials: factoring with special factorization, binomial expansion Rationals: Simplifying rational expressions, operating on them Polynomial and rational inequalities with +/- number line 7/29/ IMA101 Basic Mathematics

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