Simultaneous Equations Simultaneous equations are two equations with two unknowns. They are called simultaneous because they must both be solved at the same time. The first step is to try to eliminate one of the unknowns. Example: Solve these simultaneous equations and find the values of x and y. Equation 1: 2x + y = 7 Equation 2: 3x - y = 8 Add the two equations to eliminate the ys: 2x + y = 7 3x - y = 8 ------------ 5x = 15 x = 3
Grade 11 Révision Lisez le texte suivant et répondez aux questions Christian est un nouvel élève “au collège Saint-Elie” à Paris. Il a 15 ans et il habite à Bruges mais cette année, il va s’installer en France avec ses parents. Christian est assez grand, il a les yeux marron et les cheveux châtains. Il parle français et anglais et il aime écouter de la musique pop. Il va dans la même classe que son correspondant Emmanuel. Tous les deux sont
Abstract The history of Algebra is very vast and interesting if we are to look back and understand how it all started thousands of years ago. When we think of Algebra, we immediately associate it with complexity and intricate formulas and equations that are out of reach and too complicated to grasp the concept of, but when broken down and analyzed, Algebra can be very useful and understandable in order for us to apply its concepts to our everyday lives. Looking back into the beginning of Algebra
Certificate of Secondary Education MATHEMATICS Paper 2 (Extended) Candidates answer on the Question Paper. Additional Materials: Electronic calculator Geometrical instruments Mathematical tables (optional) Tracing paper (optional) 0580/02 0581/02 May/June 2004 1 hour 30 minutes READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen in the spaces provided on the Question Paper. You may use a pencil for any diagrams or
Chapter 6 Problem 6: Suppose that the population standard deviation (σ) for a normally distributed standardized test of achievement is known to be 7.20. What would the standard error of the sample mean ([pic]) be if we were to draw a random sample of 16 test scores? Answer: For this problem, since the population standard deviation is given, we use the formula on page 193. [pic] =[pic] Therefore: [pic] = [pic] =[pic] = 1.8 Problem 7: Suppose that the random sample from Problem 6
Sample Paper – 2009 Class – X Subject – Mathematics Section – I [ 40 Marks] Attempt all questions from this section Q.1(a) When the rate of sales tax is increased from 4.5% to 7%, a car dealer sells a car for Rs.3,750 more. Find the quoted price of the car. (3) (b) Find the mean proportion of x – y and x3 – x2y.
Introduction - Revision Inequalities = is equal to ≠ is not equal to ≤ is less than or equal to use on a number line < is less than use on a number line ≥ is greater than or equal to use on a number line > is greater than use on a number line Example On a number line x ≥ -3 is represented as -3 -5 -4 -2 -1 0 1 Standard Form a × 10b where 1 ≤ a < 10 and b is an integer Example 4 570 000 000 is 4.57 ×
Bear Population on Keweenaw Peninsula Solving Proportions Patricia W. Cole MAT 222 Week One Assignment Lisa Hendrix September 14, 2013 Bear Population on Keweenaw Peninsula Proportions actually exist in the real world applications. In my given problem we are estimating the size of the bear population on Keweenaw Peninsula. The conservationist captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s
For Examiner’s Use Examiner’s Initials Question Mark General Certificate of Secondary Education Higher Tier June 2013 1 2 3 4 5 6 7 8 9 Science A Unit Biology B1 BL1HP Biology Unit Biology B1 Wednesday 5 June 2013 For this paper you must have: a ruler. You may use a calculator. H 1.30 pm to 2.30 pm TOTAL Time allowed 1 hour Instructions Use black ink or black ball-point pen. Fill in the boxes at the top of this page. Answer all questions. You must answer
GCSE English Revision Guide Foundation Tier My only limitation is my ambition. English GCSE Revision The English GCSE is a single two-hour exam that is worth 40% of your final grade. You will have to answer three questions: Reading a text and summarising it into your own words; Reading a text and analysing the presentation and contents using the PEEE structure; Writing for a purpose and audience. Both the reading and the writing questions are worth 40 marks, making the total