Elementary AlgebraMacmillan, 1912 - 341 páginas As far as the authors know, this is the first beginners' book that graphically illustrates the fundamental rules, laws and facts of algebra, and brings into bold relief those portions of it that are indispensable to the study of geometry, physics, and chemistry pursued in secondary schools. The first ten chapters furnish an easy introduction to algebra, with simple problems having natural solutions. The second ten chapters demand more of the student, while fixing principles in the mind by means of examples that move from easy, to those of increasing difficulty. |
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Página 17
... of Connecticut and Delaware are 7992 square miles . Connecticut contains 3232 square miles more than Delaware . Find the area of each . C 14. The combined areas of New Hampshire and New Jersey THE LANGUAGE OF ALGEBRA . THE EQUATION 17.
... of Connecticut and Delaware are 7992 square miles . Connecticut contains 3232 square miles more than Delaware . Find the area of each . C 14. The combined areas of New Hampshire and New Jersey THE LANGUAGE OF ALGEBRA . THE EQUATION 17.
Página 31
... contains another line one inch long , is called a number or quantity . 11. Any collection of symbols representing number is called an expression . For example , x + 2y - 3 is an expression . 12. The members of an expression connected by ...
... contains another line one inch long , is called a number or quantity . 11. Any collection of symbols representing number is called an expression . For example , x + 2y - 3 is an expression . 12. The members of an expression connected by ...
Página 53
... contains a units , its area will contain a2 units of square measure . For this reason the second power of a number is called the square of a number . Example 4. Multiply a + b by m . a + b m ( 1 ) Multiply a by m . ma + mb ( 2 ) ...
... contains a units , its area will contain a2 units of square measure . For this reason the second power of a number is called the square of a number . Example 4. Multiply a + b by m . a + b m ( 1 ) Multiply a by m . ma + mb ( 2 ) ...
Página 62
... contain the square root or any other root of the letter . 45. The factors of a rational and integral expression are the rational and integral expressions which multiplied produce it . 46. Example 1. Multiply 2-2 by x . is x3 - 2x . The ...
... contain the square root or any other root of the letter . 45. The factors of a rational and integral expression are the rational and integral expressions which multiplied produce it . 46. Example 1. Multiply 2-2 by x . is x3 - 2x . The ...
Página 81
... contains 50 apples and pears . The sum of three times the number of apples and twice the number of pears is 120. How many apples and how many pears are in the basket ? 12. A field containing 40 acres is planted in corn and wheat . Four ...
... contains 50 apples and pears . The sum of three times the number of apples and twice the number of pears is 120. How many apples and how many pears are in the basket ? 12. A field containing 40 acres is planted in corn and wheat . Four ...
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Términos y frases comunes
A's money a²b² a³b ab³ algebraic angle arithmetic arithmetic mean ax² BCHL bushels called Check coefficient cube root denominator digits distance Divide divisor equal equation Example exceeds EXERCISE exponent expression Extract the square factors feet Find its dimensions Find the cost Find the number Find the sum Find the value fraction geometric Hence horses inches length logarithms mantissa marked price mercury miles an hour monomial Multiply nth root number of acres number of dollars number of yards numbers differ odd numbers polynomial pounds quadratic quadratic equation quotient ratio real numbers rectangle SOLUTION Solve square miles square root square yards subtract surd symbols Transposing travels twice width x²+1 x²y x²y² xy² zero
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Página 3 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 78 - The sum of the ages of a father and his son is 36, and in 10 years the son's age will be | of the father's age.
Página 143 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Página 60 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Página 72 - I cannot demonstrate, that two quantities which are equal to the same quantity, are equal to each other; neither can I demonstrate that the tree which I perceive exists.
Página 172 - In any proportion, the product of the means equals the product of the extremes.
Página 74 - A term may be transposed from one member of an equation to the other by changing its sign.
Página 63 - Thus, |-, -f, f, f, -|-, etc., are improper fractions. The numerator and the denominator are called the terms of a fraction.
Página 167 - The ratio of one quantity to another quantity of the same kind is the quotient of the first quantity divided by the second quantity. Thus, the ratio of 2 feet to 3 feet 2 is the quotient of 2 feet divided by 3 feet, ie -• о Magnitudes of the same kind only can be compared.