School Algebra; First-[Second] Volume 1 - Softcover

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1915 edition. Excerpt: ...short leg is two feet shorter than the hypotenuse and one foot shorter than the longer leg. Find the length of the short leg. 3. A positive number when multiplied by a number 5 times as large becomes 405. What is the number? 4. The square of a certain number plus twice the number itself is equal to eight times the number. Find the number. 5. The product of two consecutive integers is 306. What are the numbers? 6. The sum of the squares of two consecutive integers is 41. What are the numbers? 7. The sum of the squares of three consecutive integers is 50. What is the smallest of the numbers? 8. The square of a number is 20 more than the number itself. What is the number? Is there more than one answer? 9. The area of a rectangle is 18 square feet. The length is one foot longer than 4 times the width. What are the dimensions of the rectangle? 10. A rectangular floor is 4 feet longer than it is wide, and its area is 320 square feet. What are its dimensions? 11. The perimeter of a rectangular field is 60 rods, and its area is 200 square rods. What are its length and width? 12. Make up a rectangle problem whose solution will involve a quadratic equation. 13. A photograph is one inch longer than it is wide. It is mounted on a card so that there is a 1-inch margin on all sides. The total area of the margin is 2 square inches greater than the area of the photograph. What are the dimensions of the photograph? 14. It takes 96 square inches of paper to cover a cube. What is the length of one edge of the cube? 15. The dimensions of a closed rectangular box are consecutive integers. The entire outside surface of the box is 52 square inches. What are the dimensions of the box? 16. A paving brick is 4 inches longer than it is wide. The thickness is 4 inches. The...

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