Assignment:
Q1. Simplify: 4[a - b(2 + 3a)] - 3a[2+b(4 - a)]
Q2. Simplify: (7x2 - 2y + z) + (3y - z) + (4x2 - 6y)
Q3. Simplify: (8x2 - xy + 4y2) - (12x2 - y2 + 7xy)
Q4. Simplify: (12x2y2 - 15xy2)/(3xy)
Q5. Simplify: 5x[(3x2 + x - 4) + (9x2 - 6x)/(3x)]
Q6. Simplify: 8 - {3x + 9y - (2x - y) + 8x + 5y}
Q7.If P = 2y - 6xy - 3x and Q = 4 - 5y, find 2P - 3Q and simplify the answer.
Q8. A woman buys three board games for $107.10, including tax. If each board game cost $34, what was the sales tax rate?
Q9. Sandy has $3.25 in change. She has five more dimes than quarters but twice as many nickels as dimes. Express the given information as an algebraic equation and simplify.
Q10. Jim's nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. The second longest side is 4 feet shorter than the longest side. What is the length of each side?
Provide complete and step by step solution for the question and show calculations and use formulas.