First Course in Algebra |
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Σελίδα 16
Find the number which added to three times itself gives 36 . SOLUTION . Let x =
the number sought . Then , 3x + x = 36 , hence , 4x = 36 , and therefore , x = 9 .
Ans . 14 . If 8 is subtracted from 5 times a certain number , the result is equal to
the ...
Find the number which added to three times itself gives 36 . SOLUTION . Let x =
the number sought . Then , 3x + x = 36 , hence , 4x = 36 , and therefore , x = 9 .
Ans . 14 . If 8 is subtracted from 5 times a certain number , the result is equal to
the ...
Σελίδα 17
Thus , 25 has two equal factors , 5 and 5 ; hence the square root of 25 is 5 . This
is written V25 = 5 . In the same way , V x2 = x . Similarly , if there are three equal
factors of a number , either of them is called the cube root of that number .
Thus , 25 has two equal factors , 5 and 5 ; hence the square root of 25 is 5 . This
is written V25 = 5 . In the same way , V x2 = x . Similarly , if there are three equal
factors of a number , either of them is called the cube root of that number .
Σελίδα 20
How old will I be c years hence ? 16 . A man sold an automobile for $ 500 and
lost z dollars . What did the automobile cost ? 17 . It costs 3 cents for each ounce
or fraction thereof to send a letter through the mail . How much does it cost to
send ...
How old will I be c years hence ? 16 . A man sold an automobile for $ 500 and
lost z dollars . What did the automobile cost ? 17 . It costs 3 cents for each ounce
or fraction thereof to send a letter through the mail . How much does it cost to
send ...
Σελίδα 40
Four different cases are here possible and will now be illustrated . ( 1 ) Consider
the product 5X4 . This means , as in arithmetic , that 5 is to be taken 4 times .
Hence the result is 20 ; that is , 5X4 = 20 . ( 2 ) Consider the product ( - 5 ) X4 .
Four different cases are here possible and will now be illustrated . ( 1 ) Consider
the product 5X4 . This means , as in arithmetic , that 5 is to be taken 4 times .
Hence the result is 20 ; that is , 5X4 = 20 . ( 2 ) Consider the product ( - 5 ) X4 .
Σελίδα 47
EXERCISES – REVIEW OF CHAPTER II 1 . The words “ good ” and “ bad ” have
precisely opposite meanings ; hence the one may be called the negative of the
other . Two such words are also called antonyms of each other . State what is the
...
EXERCISES – REVIEW OF CHAPTER II 1 . The words “ good ” and “ bad ” have
precisely opposite meanings ; hence the one may be called the negative of the
other . Two such words are also called antonyms of each other . State what is the
...
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added algebra answer Appendix arithmetic ball base becomes called cents CHAPTER Check circle common factor complete considered contains cube denominator diameter difference distance divided divisible divisor Draw equal equation EXAMPLE EXERCISES Explain factors feet figure Find following equations following expressions Formula four fraction further exercises given gives graph Hence Hint illustrated inches indicated length letter lowest means multiply negative Note obtained ORAL EXERCISES polynomial positive pounds problems proportion quadratic quotient radical radius ratio reduces remainder represents result rule seen Show sides similar Similarly Simplify simply SOLUTION Solve square root subtract SUPPLEMENTARY EXERCISES Suppose topic triangle twice unit volume weight wheel write WRITTEN EXERCISES 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.