Olympic College Topic 1 –Algebraic ExpressionsPage | 1 Algebraic Expressions 1. Introduction:Definition: In algebra, we use letters such as x, y and z to represent unknown numbers. For example 5x + 4y an algebraic expression. In this expression we call x the variable and 5 is called the coefficient of x. We can treat mathematical expressions in the same way as numbers provided we obey certain rules of algebra. We can also translate information that is given in English into an equivalent mathematical form using algebraic expressions? 8 x

Olympic College Topic 1 –Algebraic ExpressionsPage | 2 Exercise 1A:Express each of the following statements as and algebraic expression. 1.p multiplied by 10 2. 5 added to x 3. 3 subtracted from t 4. b multiplied by 2 5.a multiplied by c 6.p divided by q 7.r squared 8.z cubed 9.a added to d 10.12 multiplied by r 11.n squared added to b 12.5 divided by h 13.8 multiplied by x 14.4 multiplied by m squared 15.w divided by e 16.7 subtracted from q 17.r squared take away 3 18.y to the power 9 19.d to the power 8 20.30 multiplied by u plus 4 Exercise 1B:1.Write an algebraic expression for the phrase 2 times the quantity qminus 3. 2q D. 2.Write an algebraic expression for the phrase 4 subtract x add y 4 + x + y 3.Write an algebraic expression for the phrase x subtracted from y and the result is divided by 5 A.B. C. D. 4.Write an algebraic expression for the product of w and d plus 3 times g A.wd + 3 + g B. w(d + 3)g C. w(d + 3g) D. wd + 3g 5.Write an algebraic expression for the phrase square the quantity x and then double it. A.(2x)2B. 2x2C. 2(2x)2D. 2(2x2)

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