# Quick Algebra Review by Peter H. Selby

By Peter H. Selby

An excellent intermediate Algebra assessment path that permits you to 0 in instantly at the subject matters that you simply locate tricky. each one bankruptcy starts with an easy-to-use self-diagnosis chart. The reader can speedy aim the matter parts andv then discuss with the web page references for extra specific aid. The booklet will significantly decrease the volume of time you spend on fabric that you just already comprehend.

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**Example text**

On a vertical number scale greater means higher; on a horizontal number scale greater means further to the right. The positive direction of the vertical number scale is upward, and the positive direction of the horizontal number scale is to the right. When we compare two numbers, we determine the value of one number in comparison with the other by taking into account the absolute values and the signs of the numbers. It is not unusual to find that the absolute value of one number is less than that of another although its relative value is greater.

Review Item Ref Page Example 16. Algebraic subtraction can best be visualized by considering it as finding the directed distance from one position to another on the number scale. This involves both distance and direction. The distance (the number of scale units) between two positions gives the absolute value of the answer; the direction in which we count determines the sign of the answer. Find the directed distance from +3 to "3. Distance: 6 Direction: Downward (negative) 17. To subtract using the number scale, count from the subtrahend (the number being subtracted) to the minuend (the number from which it is being subtracted).

53 Sab + 4ab - lab = (3 + 4 - Dab = Sab 2Ar2y + 4x2y= (2 + 4) x2y = Sx2y 7. To simplify an expression containing a mixture of like and unlike terms, add the like terms first; then write down the unlike terms. 53 lx+a-Sx+3y+4 = (2 - S)* + a + 3/+ 4, or -3a-+ a + 3y+ 4 8. To add polynomials, group like terms together, and then combine them. Addition can be performed either horizontally or vertically. 54 (Ix + 4y- 3z) + (3x - ly + z) = (Ix + 3x) + (4y-ly)+ (-3z + z) = Sx + ly - Izr, or, adding vertically: 2a- + 4y- 3z 3x-ly+ z Sx + ly-lz 9.