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A Review of Algebra

SIMULTANEOUS EQUATIONS AND INVOLUTION

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1. Solve

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1. Look up the method of solving when the unknowns are in the denominator. Should you clear of fractions?

2. Solve

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3. Solve graphically and algebraically

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4. Solve graphically and algebraically

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Review:

5. The squares of the numbers from 1 to 25.

6. The cubes of the numbers from 1 to 12.

7. The fourth powers of the numbers from 1 to 5.

8. The fifth powers of the numbers from 1 to 3.

9. The binomial theorem laws. (See Involution.)

Expand: (Indicate first, then reduce.)

10.

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11.

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12.

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13.

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14. A train lost one sixth of its passengers at the first stop, 25 at the second stop, 20% of the remainder at the third stop, three quarters of the remainder at the fourth stop; 25 remain. What was the original number? (M. I. T.)

References: The chapter on Involution in any algebra. Also the references on the preceding page.

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