## Elementary Algebra |

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### Common terms and phrases

a²b a²b² ab² algebraic expression arithmetical mean arithmetical progression ax² binomial called cents Check common factor completing the square complex numbers coördinates cost cube denominator difference digits dividend divisor EXERCISE exponent Find the numbers Find the sum find the value formula fraction geometric progression given equation graph Hence highest common factor identity ILLUSTRATIVE EXAMPLES integers integral expression linear equations m²n mn² monomial negative number number of dollars number represented numerical coefficient parentheses perfect square polynomial positive number possible at sight quadratic equation quotient radicand rational number remainder Remark represents the number result Simplify Solution Solve the equation Solve the system square root Substituting subtracted surd tion Transposing trinomial unknown number x²y x²y² x³y xy² zero

### Popular passages

Page 241 - The first and fourth terms of a proportion are called the extremes; and the second and third terms the means. Thus, in the proportion a : b = с : d, a and d are the extremes, and b and с the means.

Page 71 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 244 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.

Page 240 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.

Page 173 - Multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.

Page 112 - The product of the sum and difference of two numbers is equal to the difference of their squares.

Page 61 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.

Page 158 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.

Page 68 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.

Page 208 - The methods of solving integral equations depend upon principles which enable us to change a given equation into an equivalent equation whose solution is more easily obtained than that of the given one. This process is...