The Essentials of Algebra: For Secondary Schools |
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The Essentials of Algebra for Secondary Schools Robert J Aley,David A Rothrock No preview available - 2019 |
The Essentials of Algebra, for Secondary Schools (Classic Reprint) Robert J. Aley No preview available - 2017 |
Common terms and phrases
a+b)² a²b² a²x² a³b a³b³ ab² ab³ addends algebraic expression algebraic number arithmetical series arranged ax² B's money becomes binomial called cents clearing of fractions coefficients common Commutative Law completing the square coördinates cube root denominator difference digits Divide division equal EXERCISES exponent factors Find the numbers Find the sum Find the value following equations geometrical series graph Hence identity imaginary Index Law letters means miles monomials multiplicand Multiply negative number nth Root number system Pascal's Triangle permutations polynomial positive number quadratic quotient radicand ratio remainder result solution Solve the following square root Substituting subtract surds THEOREM things taken transposing trial divisor type form Unite with respect variable x²y x²y² x³y x³y³ xy²
Popular passages
Page 273 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 69 - 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 273 - If four quantities are in proportion, they will be in proportion by ALTERNATION; that is, the first will have the same ratio to the third, that the second has to the fourth.
Page 80 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 200 - In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Page 271 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Page 80 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — b) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Page 187 - At the left of the dividend write three times the square of the root already found, for a trial divisor ; divide the first term of the dividend by this divisor, and write the quotient for the next term of the root.
Page 273 - Composition, when the sum of the first and second is to the second as the sum of...