First Course in Algebra, Βιβλίο 1Macmillan, 1919 - 334 σελίδες |
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Σελίδα ix
... solving this , Ahmes did not use a letter to represent the unknown , as we would naturally do now , but the steps he followed ... solve first - degree equations and even quadratics , but they used geometric methods instead of the simpler ...
... solving this , Ahmes did not use a letter to represent the unknown , as we would naturally do now , but the steps he followed ... solve first - degree equations and even quadratics , but they used geometric methods instead of the simpler ...
Σελίδα 1
... . It enables us to write general rules and it is of great assistance in solving problems , as we shall soon see . 2. Literal Numbers . Numbers that are represented by letters B 1 HISTORICAL INTRODUCTION CHAPTER LITERAL NUMBERS.
... . It enables us to write general rules and it is of great assistance in solving problems , as we shall soon see . 2. Literal Numbers . Numbers that are represented by letters B 1 HISTORICAL INTRODUCTION CHAPTER LITERAL NUMBERS.
Σελίδα 7
... solving problems . Here the advan- tage of using letters , mentioned in § 1 , will become clearer . EXAMPLE 1. If twice a certain number is increased by 5 , the result is ... solve another example , but we shall I , § 6 ] 7 LITERAL NUMBERS.
... solving problems . Here the advan- tage of using letters , mentioned in § 1 , will become clearer . EXAMPLE 1. If twice a certain number is increased by 5 , the result is ... solve another example , but we shall I , § 6 ] 7 LITERAL NUMBERS.
Σελίδα 8
... Solve the following exercises , letting x stand for the un- known number . Condense the work as in § 6 and check each answer . † 1. If three times a certain number is increased by 2 the result is 20. What is the number ? Ans . 6 . † It ...
... Solve the following exercises , letting x stand for the un- known number . Condense the work as in § 6 and check each answer . † 1. If three times a certain number is increased by 2 the result is 20. What is the number ? Ans . 6 . † It ...
Σελίδα 10
... solve such an equation as 3x - 1 = 14 , it is necessary to add 1 to both sides . This can be done since the balance is not thereby disturbed . Adding 1 to both sides , we find 3x = 15 . Dividing both sides by 3 , we have x = 3 . Ans ...
... solve such an equation as 3x - 1 = 14 , it is necessary to add 1 to both sides . This can be done since the balance is not thereby disturbed . Adding 1 to both sides , we find 3x = 15 . Dividing both sides by 3 , we have x = 3 . Ans ...
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a²+2ab+b² ab+b² added algebra Appendix arithmetic Axiom called cents CHAPTER check your answer circle coefficient common denominator common factor completing the square cube diameter divisor Draw the graph equal EXAMPLE EXERCISES Solve figure Find the H. C. F. Find the numbers Find the value following equations following exercises following expressions fraction further exercises given equation gives highest common factor HINT illustrated inches length lowest common means miles an hour minuend monomial multiply negative numbers numerator and denominator ORAL EXERCISES parentheses perfect square polynomial quadratic quadratic equation quotient radical radicand radius ratio represents result Similarly Simplify simultaneous equations SOLUTION Solve the equation square root subtract subtrahend SUPPLEMENTARY EXERCISES surd Transposing triangle trinomial weight wheel write WRITTEN EXERCISES x²y² yards