# A Review of Algebra

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Excerpt: ... Solve 6. Solve (Coll. Ent. Board.) 7. Find all values of x and y which satisfy the equations: (Mass. Inst. of Technology.) 8. If and represent the roots of find and in terms of p, q, and r. (Princeton.) 9. Form the equation whose roots are and 10. Determine, without solving, the character of the roots of (College Entrance Board.) 11. If prove that (College Entrance Board.) 12. Given Prove that (Sheffield.) 13. The 9th term of an arithmetical progression is the 16th term is Find the first term. (Regents.) pg 51 Solve graphically: 1. 2. 3. Find four numbers in arithmetical progression, such that the sum of the first two is 1, and the sum of the last two is -19. 4. What number added to 2, 20, 9, 34, will make the results proportional? 5. Find the middle term of 6. Solve (Princeton.) 7. A strip of carpet one half inch thick and feet long is rolled on a roller four inches in diameter. Find how many turns there will be, remembering that each turn increases the diameter by one inch, and that the circumference of a circle equals (approximately) times the diameter. (Harvard.) 8. The sum of the first three terms of a geometrical progression is 21, and the sum of their squares is 189. What is the first term? (Yale.) 9. Find the geometrical progression whose sum to infinity is 4, and whose second term is 10. Solve 11. Solve 12. Two hundred stones are placed on the ground 3 feet apart, the first being 3 feet from a basket. If the basket and all the stones are in a straight line, how far does a person travel who starts from the basket and brings the stones to it one by one? pg 52 Solve graphically; and check by solving algebraically: 1. 2. 3. Determine the value of m for which the roots of the equation will be equal: ( Hint: See page 40 . To have the roots equal, must equal 0.) 4. 5. 6. If is a root of find the other root without solving the equation. (Univ. of Penn.) 7. How many times does a common clock strike in 12 hours? 8. Find the sum to infinity of .......show more

## Product details

• Paperback | 28 pages
• 189 x 246 x 2mm | 68g
• United States
• English
• black & white illustrations
• 1236732359
• 9781236732354