Simplifying Expressions Student MAT 221 – Introduction to Algebra Instructor August 18‚ 2013 Algebra is a branch of Mathematics that we use in everyday life without realizing it. When we fill up with gas we will quite often do that quick calculation on how many miles be gallon we got. We might use it to determine how many apples could be in a pound after weighing just one of average size
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[pic] | |30 ÷ 5 × 3 |= |6 × 3 |= |18 | | |[pic] | |30 ÷ 5 × 3 |= |30 ÷ 15 |= |2 |(wrong) | | | | | | | | | | |Example: EXPONENTS AND RADICALS Any number can be expressed in the form of [pic]‚ where x is the base and n is the exponent. A number can also be expressed in the form of [pic]. This form is called the radical‚ n is the index‚ x is the radicand. [pic]Example: [pic] Negative Exponents A negative exponent means how many times to divide by the number. ([pic])
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outline the different types of quadratic equations‚ strategies for solving each type‚ as well as other methods of solutions such as Completing the Square and using the Quadratic Formula. Knowledge of factoring perfect square trinomials and simplifying radical expression are needed for this piece. Let’s take a look! Standard Form of a Quadratic Equation ax2+ bx+c=0 Where a‚ b‚ and c are integers and a≥1 I. To solve an equation in the form ax2+c=k‚ for some value k. This is the simplest
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to simplify by combining like terms. x = y - 2 7. Using complete sentences‚ explain how solving a literal equation is similar to or different from simplifying an expression such as 6 - 2(52 + 7) ÷ 4. (2 points) Simplifying a literal equation gives you the value of a variable in relation to the rest of the equation. Simplifying an expression that does not have a variable is just a matter of using PEMDAS 8. Using complete sentences‚ explain what might happen if the order of operations was used
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INTRODUCTION IJ ISSN: 2230-7818 Boolean function minimization using M-terms is a modified Quine-McCluskey [4] [6] method; it is a very simple and systematic technique for minimizing Boolean functions. Why do we want to minimize a Boolean expression? By simplifying the logic function we can reduce the original number of digital components (gates) required to implement digital circuits. Therefore by reducing the number of gates‚ the chip size and the cost will be reduced‚ and the speed will be increased
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algebra reduces to a specific problem or more simple equations where the numbers to find are replaced by letters that are called "unknown". Where ”Solve " the resolution of equations or inequalities‚ the calculations of numerical expressions (e.g. 3 x 2 - 7x +3) for values of x belonging to the sets of integer’s problems within algebra. Algebra Preliminary: In a matter of arithmetic the same number can represent two different sizes. One can‚ for example
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1 1 of AND gate x 0 0 1 1 Summary y x+y 0 0 1 1 0 1 1 1 of OR gate x y x+y x x x 0 1 Summary of x 1 0 NOT gate Section 3: Basic Rules of Boolean Algebra 5 3. Basic Rules of Boolean Algebra The basic rules for simplifying and combining logic gates are called Boolean algebra in honour of George Boole (1815 – 1864) who was a
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relationship between workers and employers‚ and the characteristics of the society within which work organization exist and function. The three views are most frequently referred to as the unitary‚ pluralist and Marxist perspectives. The Marxist/ radical perspective is sometimes referred to as the Conflict Model. Each offers a particular perception of workplace relations and will therefore interpret such events as workplace conflict‚ the role of trade unions and job regulation very differently.
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1 MCR3U Exam Review Math Study Guide U.1: Rational Expressions‚ Exponents‚ Factoring‚ Inequalities 1.1 Exponent Rules Rule Product Quotient Power of a power Power of a product Power of a quotient Description a m × a n = a m+n a m ÷ a n = a m−n Example 4 2 × 45 = 47 5 4 ÷ 52 = 52 (a ) a m n = a m×n a a (3 ) 2 4 = 38 2 2 2 (xy) = x y an a = n ‚b ≠ 0 b b a0 = 1 a −m = 1 ‚a ≠ 0 am n (2 x 3) = 2 x 3 35 3 = 5 4 4 70 = 1 9 −2 = 4 5 Zero
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working towards. Starter: Language of algebra: students are given a matching game with algebra key words on and the explanation. They must match the key word with the explanation accordingly. Challenge activity: students challenge their memories of expressions by answering the questions on the power-point slide. White board activity: Students are challenged with a problem solving question. They must use the white boards to find their answers. The use of different strategies to find the solution will
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