Math Assessment Sample Items Section 1: Numerical Skills/Pre-algebra Placement Test Percentage of Items in Pool Content Areas Basic operations with integers Basic operations with fractions Basic operations with decimals Exponents Ratios and proportions Percentages Conversions between fractions and decimals Multiples and factors of integers Absolute values of numbers Averages (arithmetic means) Order concepts (greater than; less than) Estimation skills Number theory Counting problems and simple probability
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Pre-Calculus—Prerequisite Knowledge &Skills III. Polynomials A. Exponents The expression bn is called a power or an exponential expression. This is read “b to the nth power” The b is the base‚ and the small raised symbol n is called the exponent. The exponent indicates the number of times the base occurs as a factor. Examples—Express each of the following using exponents. a. 5 x 5 x 5 x 5 x 5 x 5 x 5 = b. 8 x 8 x 8 x 8 x 8 x 8 x 8
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The purpose of this project is to solve the game of Light’s Out! by using basic knowledge of Linear algebra including matrix addition‚ vector spaces‚ linear combinations‚ and row reducing to reduced echelon form. | Lights Out! is an electronic game that was released by Tiger Toys in 1995. It is also now a flash game online. The game consists of a 5x5 grid of lights. When the game stats a set of lights are switched to on randomly or in a pattern. Pressing one light will toggle it and the lights
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Nigeria.SMEToolKit.org [pic]Linear programming is very important in various fields of life especially in managerial decision making. The reason is that it helps the company in minimizing the costs and maximizing the profits. Through linear programming managers can calculate the prices and the sales units which can maximize the profits of the company. Therefore‚ there are various issues which the company incurs regarding their costs and prices therefore‚ tools like linear programming can help the managers
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DQ 17 A common form of the product-mix linear programming seeks to find the quantities of items in the product mix that maximizes profit in the presence of limited resources. -True Linear programming helps operations managers make decisions necessary to allocate resources. -True In linear programming‚ the unit profit or unit contribution associated with one decision variable can be affected by the quantity made of that variable or of any other variable in the problem. -False What combination
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1. Scope and Objective of the Course: The course is meant as an introduction to Linear Algebra and Theory of Complex Variable Functions and their applications. Students are encouraged to study MATLAB’s capabilities for solving linear algebra problems given in the Text Book. 2. Course Description: System of linear equations‚ Eigenvalues and eigenvectors‚ Vector spaces‚ basis and dimension of vector spaces. Linear transformations‚ range and kernel. Orthogonality. Complex functions and their analyticity
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Quadratic equation In elementary algebra‚ a quadratic equation (from the Latin quadratus for "square") is any equation having the form where x represents an unknown‚ and a‚ b‚ and c represent known numbers such that a is not equal to 0. If a = 0‚ then the equation is linear‚ not quadratic. The numbers a‚ b‚ and c are the coefficients of the equation‚ and may be distinguished by calling them‚ the quadratic coefficient‚ the linear coefficient and the constant or free
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Linear programming is a technique which shows practical problems as a series of mathematical equations which can be manipulated to find the optimum or best solution. Blending is a graphical approach to linear programming which deals with resource allocation subject to constraints. It is a model which assists firms in deciding the best possible utilisation of limited resources. Each resource constraint is represented as a mathematical linear equation. A linear expression is an equation which links
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MAST10007 Linear Algebra MATLAB Test Test duration: 45 minutes This paper has 6 test pages Please complete all the following details. Name: Student Number: Tutor’s Name: Tutorial Time and Day: ..................................................... ..................................................... ..................................................... ..................................................... Instructions to Students: This examination is designed to test your ability to calculate efficiently
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(Class-10) Chapter 3 : Pair Linear Equations in Two Variables 1. 2. 3. 4. For which values of p does the pair of equations given below have unique solution? (2 marks) 4x + py + 8 = 0‚ 2x + 2y + 2 = 0 Solve graphically: 3x + 2y = 14x‚ x – 4y = 7 (3 marks) Two rails are represented by the equations x + 2y – 4 = 0 and 2x + 4y -12 = 0. Represent this situation geometrically. (3 marks) a b c On comparing the ratio 1 ‚ 1 and 1 find out whether the lines representing the pair of linear a2 b2 c2 equation intersect
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