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" Others will be added as required. 1. If equals are added to equals, the results are equal. 2. If equals are subtracted from equals, the results are equal. 3. If equals are multiplied by equals, the results are equal. 4. If equals are divided by equals,... "
Grammar School Algebra - Page 4
by David Eugene Smith - 1904 - 154 pages
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Algebra for Beginners

David Eugene Smith - Algebra - 1905 - 214 pages
...— sa rule for finding the distance he wil^be able to row upstream. ORAL EXERCISE 1. How many 1-Ib. weights will just balance 32 oz. of sugar in these...make 8 ? to 8 — 5 to make 8 ? to x — 5 to make x ? 2. If x — 5 = 20, what must be added to these equals to give the value oí x? What is the value...
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Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...are equal to the same thing, or to equals, are equal to each other. 2 . If equals are added to, or subtracted from, equals, the results are equal. 3. If equals are multiplied by, or divided by, equals, the results are equal. [Doubles of equals are equal ; halves of equals are equal.]...
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Plane and Solid Geometry

Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...are equal to the same thing, or to equals, are equal to each other. 2 . If equals are added to, or subtracted from, equals, the results are equal. 3. If equals are multiplied by, or divided by, equals, the results art equal. [Doubles of equals are equal ; halves of equals are equal.]...
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Arithmetic ...

George Wentworth, David Eugene Smith - Arithmetic - 1911 - 396 pages
...For example, x +5 = 7. Here we see that x = 2. 227. The Principles of the Equation. We have seen that (1) If equals are added to equals, the results are...equals are multiplied by equals, the results are equal. (4) If equals are divided by equals, the results are equal. 228. Solving an Equation by Subtracting....
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Vocational Algebra

George Albert Wentworth, David Eugene Smith - Algebra - 1911 - 104 pages
...For example, x +5 = 7. Here we see that x = 2. 10. The Principles of the Equation. We have seen that (1) If equals are added to equals, the results are...equals are multiplied by equals, the results are equal. (4) If equals are divided by equals, the results are equal. 11. Solving an Equation by Subtracting....
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...to the same quantity, or to equal quantities, are equal to each other. (2) If equals are added to or subtracted from equals the results are equal. (3) If equals are multiplied or divided by equals (division by zero being excluded) the results are equal. (4) If equals are added...
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Academic Algebra

George Wentworth, David Eugene Smith - Algebra - 1913 - 478 pages
...The axioms needed in the beginning of algebra are six in number. Others will be added as required. 1. If equals are added to equals, the results are...equals are multiplied by equals, the results are equal. 4. If equals are divided by equals, the results are equal. 5. Like powers or like roots of equals are...
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School Algebra, Book 1

George Wentworth, David Eugene Smith - Algebra - 1913 - 312 pages
...The axioms needed in the beginning of algebra are six in number. Others will be added as required. 1. If equals are added to equals, the results are...equals are multiplied by equals, the results are equal. 4. If equals are divided by equals, the results are equal. 5. Like powers or like roots of equals are...
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The Silver-Burdett Arithmetics: Complete book

George Morris Philips, Robert Franklin Anderson - Arithmetic - 1913 - 520 pages
...plate; or, (4) 6 lb. •*• 2 are placed on each plate. 254. Section 253 illustrates the following : (1) If equals are added to equals, the results are...equals are multiplied by equals, the results are equal. (4) If equals are divided by equals, the results are equal. 255. If x stands for 4, (1) 6x-2 = 3z +...
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School Algebra, Book 2

George Albert Wentworth - 1913 - 296 pages
...suffice for most of the work in algebra are six in number. 1. If equals are added to equals, the resu! fs are equal. 2. If equals are subtracted from equals,...equals are multiplied by equals, the results are equal. 4. If equals are divided by equals, the results are equal. 5. Like powers or like roots of equals are...
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