Shorter Course in Algebra
Ginn, 1886 - Algebra - 165 pages
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a+b+c a²+2ab+b² ab+b² ab² ab³ Arithmetic arithmetical series cents CHAPTER coefficient common factor Complete the square contains cube root decimal denominator difference digits divisible divisor exponent Extract the root feet Find the H. C. F. Find the number geometrical geometrical series given greater number Hence highest common factor Mailing Price miles minute-spaces in arc MONOMIALS multiplicand Multiply negative number nth root number expressed number of dollars number of minute-spaces number of terms numbers whose product obtained Phillips Exeter Academy polynomial pounds problems pupils quadratic equation quotient ratio remainder Resolve into factors result Schools second term Simplify smaller number Solve the equation square root Subtract Supt surds teachers twice units unknown quantity WENTWORTH x²y² x³y
Page 172 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term.
Page 64 - The square root of a number is one of the two equal factors of the number.
Page 147 - The sum of the two digits of a number is 6, and if the number be divided by the sum of the digits the quotient is 4.
Page 23 - The same laws respecting the removal of parentheses hold true whether one or more terms are inclosed. Hence, when an expression within a parenthesis is preceded by a plus sign, the parenthesis may be removed. When an expression within a parenthesis is preceded by a minus sign, the parenthesis may be removed if the sign of every term within the parenthesis be changed.
Page 51 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Page 136 - From each equation obtain the value of one of the unknown quantities in terms of the other. Form an equation from these equal values and reduce the eqvaJLùm.
Page 35 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Page 35 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Page 56 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Page 125 - A sets out and travels at the rate of 7 miles in 5 hours. Eight hours afterwards B sets out from the same place and travels in the same direction, at the rate of 5 miles in 3 hours. In how many hours will B overtake A ? 41.