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abē added algebraic arithmetical Arrange called cent changed coefficient common factor compound contains corresponding count denominator difference digits distance Divide dividend divisible divisor dollars equal equation exceeds EXERCISE exponent expression Extract factors feet figures Find the numbers four fourth fraction given gives greater Hence hour increased indicated integral interest length less letter limit logarithm mantissa means miles miles an hour Multiply negative NOTE obtained positive problem quadratic quantities quotient radical ratio Reduce remainder represented Resolve into factors result rule side simple smaller Solve square root stand Subtract surd term THEOREM third train Transpose travels twice units unknown variable write written yards
Page 330 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Page 10 - If an expression within a parenthesis is preceded by the sign +, the parenthesis may be removed without making any change in the signs of the terms of the expression.
Page 316 - The area of a circle varies as the square of its radius, and the area of a circle whose radius is 1 foot is 3.1416 square feet.
Page 166 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour?
Page 370 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 23 - Two men start from the same place and travel in the same direction ; one, 5 miles an hour ; the other, 7 miles an hour.
Page 56 - To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial and add the partial products: (6a — 3ft) x 3c = 18uc -96c.
Page 172 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown numbers in the resulting equations of equal absolute value.
Page 317 - The volume of a sphere varies as the cube of its radius. If the...
Page 36 - From these four cases we see that subtracting a positive number is equivalent to adding an equal negative number ; and that subtracting a negative number is equivalent to adding an equal positive number.