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Algebra Practice Problems

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1. Solve. 2x / 5 = -10

2. The sum of an integer and its square is 12. Find the number

3. Solve. 4(7x + 10) = 3(9x - 5) + 20

4. Simplify ( 3x - 6y)2

5. The product of two consecutive numbers is 30. Find the smaller of the numbers.

6. Subtract 4x2 - 5x from the sum of 9 x2 -2 and 6x - 1.

7. A pair of cuff links was marked up $225 from cost, which amounts to a 50% increase. Find the original cost of the pair of cuff links.

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Solution Summary

Step-by-step solutions to all the given integer questions.

Solution Preview

(1) 2x/5 = -10

2x = -10 * 5 = -50

x = -50/2 = -25

(2) Let the integer be x. Its square is 2x.

By data, x + x^2 = 12

x^2 + x - 12 = 0

(x + 4)(x - 3) = 0

x = {-4, 3}

The integer is -4 or ...

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