First Course in Algebra, Βιβλίο 1Macmillan, 1919 - 334 σελίδες |
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Σελίδα viii
... example , before attempting the problems on page 138 you should have examined carefully those of a similar kind that are completely worked out on page 137 . viii HISTORICAL INTRODUCTION BY LOUIS C. KARPINSKI ALGEBRA had its beginnings.
... example , before attempting the problems on page 138 you should have examined carefully those of a similar kind that are completely worked out on page 137 . viii HISTORICAL INTRODUCTION BY LOUIS C. KARPINSKI ALGEBRA had its beginnings.
Σελίδα 7
... EXAMPLE 1. If twice a certain number is increased by 5 , the result is 29. What is the number ? SOLUTION . Let x stand for the number sought . Then , from what the problem says , we must have 2x + 5 = 29 . This statement is called an ...
... EXAMPLE 1. If twice a certain number is increased by 5 , the result is 29. What is the number ? SOLUTION . Let x stand for the number sought . Then , from what the problem says , we must have 2x + 5 = 29 . This statement is called an ...
Σελίδα 8
Walter Burton Ford, Charles Ammerman. We shall now solve another example , but we shall condense the steps in this way from the beginning . EXAMPLE 2. A person wishes to find the weight of a tennis ball . He puts three such balls in the ...
Walter Burton Ford, Charles Ammerman. We shall now solve another example , but we shall condense the steps in this way from the beginning . EXAMPLE 2. A person wishes to find the weight of a tennis ball . He puts three such balls in the ...
Σελίδα 11
... , since the balance is not thereby disturbed . For example , to solve the equation , 3 = 5 , we multiply both sides by 3 , thus obtaining x = 15. Ans . ORAL EXERCISES Find the value of the letter in each I , 8 ] 11 LITERAL NUMBERS.
... , since the balance is not thereby disturbed . For example , to solve the equation , 3 = 5 , we multiply both sides by 3 , thus obtaining x = 15. Ans . ORAL EXERCISES Find the value of the letter in each I , 8 ] 11 LITERAL NUMBERS.
Σελίδα 17
... example , xxxx3 , and is read " x cube . " 14. Square Root and Cube Root . If there are two equal factors of a number , either is called the square root of the number . Thus , 25 has two equal factors , 5 and 5 ; hence the square root ...
... example , xxxx3 , and is read " x cube . " 14. Square Root and Cube Root . If there are two equal factors of a number , either is called the square root of the number . Thus , 25 has two equal factors , 5 and 5 ; hence the square root ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 241 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 101 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 238 - Find the greatest square in the left-hand period and write its root for the first figure of the required root. Square this root, subtract the result from the left-hand period, and to the remainder annex the next period for a dividend.
Σελίδα 138 - Separate each number into its prime factors. Find the product of these factors, taking each factor the greatest number of times it occurs in any one of the given numbers.
Σελίδα 140 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.
Σελίδα 238 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Σελίδα 102 - That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number.
Σελίδα 73 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Σελίδα 143 - A fraction is reduced to its lowest terms when its numerator and denominator have no common factor except 1.
Σελίδα 227 - If 1 is added to the numerator of a certain fraction, the value of the fraction becomes f ; if 2 is added to the denominator, the value of the fraction becomes £. What is the fraction ? SUGGESTION.