Math 0106 Basic Mathematics In Class Worksheets Spring 2015 Math 0106 Worksheets 2015 Houston Community College Table of Contents Geometric Formulas ..................................................................................................................................... 1 Algebraic Formulas ....................................................................................................................................... 2 Statistical Formulas ....................................................................................................................................... 3 Syllabus Quiz ................................................................................................................................................. 4 Student Information Sheet ........................................................................................................................... 5 Multiples and Divisibility ............................................................................................................................... 7 Prime Factorization ....................................................................................................................................... 9 Prime Factorization − Pracce .................................................................................................................... 10 Understanding Fractions ............................................................................................................................. 11 Reducing Fractions ...................................................................................................................................... 12 Multiplying Fractions .................................................................................................................................. 13 Dividing Fractions ........................................................................................................................................ 14 Least Common Multiples ............................................................................................................................ 15 Adding and Subtracting Fractions – Common Denominators .................................................................... 16 Adding and Subtracting Fractions – Unlike Fractions ................................................................................. 17 Decimal Notation – Order and Rounding.................................................................................................... 18 Adding and Subtracting Decimals ............................................................................................................... 19 Multiplying Decimals ................................................................................................................................... 20 Dividing Decimals ........................................................................................................................................ 21 Using Fractional Notation with Decimal Notation ...................................................................................... 22 Ratio and Proportion................................................................................................................................... 23 Percent Notation ......................................................................................................................................... 24 Solving Percent Problems and Applications ............................................................................................... 26 Order of Operations .................................................................................................................................... 28 Review of Order of Operations Worksheet ................................................................................................ 29 Getting Ready for Factoring Polynomials 1 ................................................................................................ 30 Getting Ready for Factoring Polynomials 2 ................................................................................................ 31 Week 1 Quiz ................................................................................................................................................ 32 Week 1 Quiz - Solutions .............................................................................................................................. 34 Math 0106 Worksheets 2015 Houston Community College Week 2 Quiz ................................................................................................................................................ 35 Week 2 Quiz - Solutions .............................................................................................................................. 37 Week 3 Quiz ................................................................................................................................................ 38 Week 3 Quiz - Solutions .............................................................................................................................. 40 Worksheet Answer Key ............................................................................................................................... 41 Math 0106 Worksheets 2015 Houston Community College Geometric Formulas PLANE GEOMETRY SOLID GEOMETRY Rectangle Area: A = lw Rectangular Solid Perimeter: P = 2 l + 2 w Volume: V = lwh w SA = 2lw+2wh+2lh w l h Square 2 l Area: A = s s Perimeter: P = 4 s Cube s 3 Triangle s Volume: V = s s s SA = 6s 2 Area: b • h A = h 2 b Sum of Angle Measures Right Circular Cylinder o Volume: V = πr2h h A + B + C = 180 C A 2 SA =2 πr + 2 πrh Right Triangle r B Pythagorean Theorem: c a2 + b2 = c2 a b Right Circular Cone h Parallelogram 1 2 Volume: V = /3πr h Area: A = bh h SA = πr2 + πrh r Trapezoid b a 1 Area: A = /2h(a+b ) h Sphere r Volume: b 4 3 Circle V = /3πr Area: A = πr2 SA = 4πr Circumference: d r angle = π or = 2 π arc length C d C r = 0 22 circumfere nce 360 π.= /7 or π.=3.14 Math 0106 Worksheets 1 2015 Houston Community College Algebraic Formulas Interest Formula: I= Prt ⋅ ⋅ r nt Compound Interest Formula: A= P 1 + n part % Percent Formulas: = whole 100 Amount of Change New Amount − Original Amo unt Percent Increase/Decrease = = Original Amount Original Amount rise y− y Slope Formula m = = 2 1 run x2− x 1 To find the x-intercept of a line, complete the ordered pair (___, 0). To find the y-intercept of a line, complete the ordered pair (0, ___). Slope-Intercept Form of an Equation of a Straight Line: y= mx + b Point-Slope Form of an Equation of a Straight Line: y− y1 = mx( − x 1 ) 2 2 Distance Formula: d=()() xx21 − +− yy 21 −b ± b2 − 4 ac Quadratic Formula: If ax2 + bx + c = 0 then x = 2a Math 0106 Worksheets 2 2015 Houston Community College Statistical Formulas n! P = n r n− r ! Permutation of n things taken r at a time () n! Combination of n things taken r at a time C = n r r!() n− r ! number of outcomes of an event Theoretical Probability P( E ) = total number of possible outcomes number of observed outcomes Empirical Probability P( E ) = total number of observed occurrences ∑ x Mean = x = n ∑( xf ) Mean of a Frequency Distribution = x = n min + max Midrange = 2 ∑()x− x 2 Standard Deviation =s = n −1 data value - mean z−score x = standard deviation Math 0106 Worksheets 3 2015 Houston Community College Syllabus Quiz Student Name ________________________________________________ 1) What is the course instructor’s office phone number? 2) On what day(s) and time(s) are office hours held? 3) What is the attendance policy for the course? 4) What overall percentage will result in a C grade for the semester? 5) True or False? For any false statement, please correct the statement. a) Attendance is crucial for success in this course. b) You will complete the entire midterm and the entire final exam in class. c) Late assignments can be handed in up to three weeks after the due date. d) Any student who attends class, takes good notes, completes assignments, and studies outside of class should receive a good grade in this course. 6) What are the criteria for receiving maximum points for participation? 7) Homework assignments account for what portion of your final grade? 8) When are the tests scheduled for this class? Math 0106 Worksheets 4 2015 Houston Community College Student Information Sheet Personal Full name: Current address: Contact information (please complete at least one): Home phone: Cell phone: Email: Other: Do you work? (yes / no) If yes: full-time or part-time? How many hours? Are there other outside obligations you would like for me to know about? Academic What is your major? (put “undeclared” if relevant): Where did you go to high school? What year did you graduate from high school? Do you plan to transfer from this college? circle one: Yes / No If yes, where do you plan to transfer? What other colleges (if any) have you attended? Math 0106 Worksheets 5 2015 Houston Community College Course Specific Have you taken a math course at the community college level? When was the last time you took a math course? What course was it? Where did you take this course? What is your level of comfort with math? 1 2 3 4 5 6 7 8 9 10 Not comfortable Very comfortable List the courses you are enrolled in this semester What grade do you intend to earn in this course? What strengths or assets do you have that will help you achieve your goal in this course? These strengths/assets can include things