First Course in Algebra, Βιβλίο 1Macmillan, 1919 - 334 σελίδες |
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Αποτελέσματα 11 - 15 από τα 60.
Σελίδα 31
... write simply 5 , and in the same way +3 is written simply 3 , and so on . In other words , whenever a number occurs without any sign , the + sign is to be un- derstood . The sign is never omitted . ORAL EXERCISES State the sum in each ...
... write simply 5 , and in the same way +3 is written simply 3 , and so on . In other words , whenever a number occurs without any sign , the + sign is to be un- derstood . The sign is never omitted . ORAL EXERCISES State the sum in each ...
Σελίδα 40
... that is , the negative of -20 . But the negative ( or opposite ) of −20 is +20 , or simply 20. Whence , we write ( −5 ) X ( -4 ) = 20 . These four illustrations make clear the following rule . RULE 40 [ II , § 22 FIRST COURSE IN ALGEBRA.
... that is , the negative of -20 . But the negative ( or opposite ) of −20 is +20 , or simply 20. Whence , we write ( −5 ) X ( -4 ) = 20 . These four illustrations make clear the following rule . RULE 40 [ II , § 22 FIRST COURSE IN ALGEBRA.
Σελίδα 42
... write This is merely an extension of what was said in § 3 . ORAL EXERCISES In each of the following , state first the sign of the result , then give the complete value . 1. 2X ( -5 ) X ( -8 ) . 2. 4X ( -3 ) X2 . 3. ( -6 ) X ( -2 ) X5 ...
... write This is merely an extension of what was said in § 3 . ORAL EXERCISES In each of the following , state first the sign of the result , then give the complete value . 1. 2X ( -5 ) X ( -8 ) . 2. 4X ( -3 ) X2 . 3. ( -6 ) X ( -2 ) X5 ...
Σελίδα 46
... write out the state- ment it illustrates with reference to the latitudes of two ships . [ HINT . See § 16. ] 23. Write ( using negative numbers whenever necessary ) the equation corresponding to the following statement : " If John owes ...
... write out the state- ment it illustrates with reference to the latitudes of two ships . [ HINT . See § 16. ] 23. Write ( using negative numbers whenever necessary ) the equation corresponding to the following statement : " If John owes ...
Σελίδα 48
... Write xx2x3 + 2 y2y3 in its simplest form . 12. Find the value of each of the following expressions when x = 1 and y = 2 . ( a ) 6 x2y - 9 xy + y3 . ( b ) x3 - xy2 - 4 y3 . ( c ) 3√x - 4√2 y − 2 x2 + 4 y . 3x2 − √4y + √ 4 x ( d ) ...
... Write xx2x3 + 2 y2y3 in its simplest form . 12. Find the value of each of the following expressions when x = 1 and y = 2 . ( a ) 6 x2y - 9 xy + y3 . ( b ) x3 - xy2 - 4 y3 . ( c ) 3√x - 4√2 y − 2 x2 + 4 y . 3x2 − √4y + √ 4 x ( d ) ...
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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.