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Algebraic Expressions

1. Simplify: 8[a - b(3- 4a)] - 6a[2-a(3-b)]
2. Simplify: (6x2 - 3y + 2z2) + (7y + 8x2) + (3y2 - 4x)
3. Subtract 6x2 - 4y2 + 8xy from 9x2 + xy - 3y2.
4. Simplify 2 [(4x + 6) - (x - 6) + (4x - 8)/2]
5. Simplify the expression: 8 - [3x + 9y - {2x - y} + 8x + 5y]
6. Simplify 3(6x - 5) - [3(1 - 8x) + 5]
7. If P = 3y + 7xy and Q = 9 - 2y, find the value of 2P - 3Q.
8. An amusement park manager was taking records of visitors for three months in the summer. In June the number of visitors was one-half of the number of visitors in July. The number of visitors in August was three-fifths of the number of visitors in July. Use algebra to describe the number of visitors for each month.
9. The sum of the electric current in three transistors is 0.125 ampere. A technician found that the electric current in the first transistor is one-fourth the amount of the current in the second transistor. He also found the amount of current in the third transistor to be three times the amount in the second transistor. A technician found that the electric current in the first transistor. Use algebra to describe the total amount of electric current in the three transistors. [You are not required to solve the problem]
10. Tom's uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. Express the above information in the form of an algebraic equation and simplify the expression. [You are not required to solve the problem]

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