A First Course in Algebra, Volume 20 |
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Common terms and phrases
9 x² algebra altitude angle arithmetic axioms binomial cents coefficient completing the square consecutive numbers cost cube difference dimes distance Divide divisor dollars equal Exercises Solve exponent expression extracting the square Find the area Find the length Find the numbers Find the value fraction graph height Hint hypotenuse Illustrative example linear equation lowest terms method miles an hour miles per hour minuend monomial Multiply negative numbers numerator and denominator obtain Oral Exercises parenthesis perimeter polynomial pounds problems quadratic equation quarts quotient radical radicand radius ratio rectangle remainder represent result Review right triangle side signed numbers similar terms Simplify Solution Solve the equation square feet square inches square root substituting Subtract tion trinomial twice unknown quantity varies directly width Write x²y yards
Popular passages
Page 235 - They call one-fourth part of the circumference the girth, which is by them reckoned the side of a square, whose area is equal to the area of the section of the tree ; therefore they square the girth, and then multiply by the length of the tree.
Page 353 - In any proportion, the product of the means is equal to the product of the extremes.
Page 362 - It has been found by experiment that the weight of a body varies inversely as the square of its distance from the center of the earth. If...
Page 221 - That is, any quantity, which is already a power of a compound quantity, may be raised to any power by multiplying its exponent by the exponent of the power to which it is to be raised.
Page 96 - Then divide the first term of the remainder by the first term of the divisor...
Page 300 - W, where a and b are constants depending on the amount of friction in the machine. If a force of 7 pounds will raise a weight of 20 pounds, and a force of 13 pounds will raise a weight of 50 pounds, what force is necessary to raise a weight of 40 pounds ? (First determine the constants a and b.) Harvard.
Page 231 - X 67 = -4 69 1484 2X742= -1484 The number must first be marked off in groups of two figures each, beginning at the decimal point, which, in the case of a whole number, is at the right. The number of figures in the root will be the same as the number of groups so obtained. The greatest square less than 13 is 9.
Page 353 - A succession of several equal ratios is called a continued proportion. Thus, A : B = C : D = E : F, &c.
Page 142 - MEP in pounds per square inch; A = area of piston in square inches; L = length of stroke in feet ; N= number of working strokes per minute.
Page 166 - Cancel all factors common to numerators and denominators, and multiply the remaining factors in the numerators together for the numerator of the product, and the remaining factors in the denominators together for the denominator of the product.