Assignment:
Simplify the following expression
Q1. –(-6x-w)-3(-5w-2x)
Q2. The volume of a right circular cone is given by
V= 1 / 3 r2 h
The letter stands for the radius of the circular base of the cone, and h is the height of the cone. Solve for h.
Q3. Express the following product of powers of as a single power of
w5 .w .w5
Q4. Simplify the following: b2a5 / b3a
Q5. Write without parenthesis (-3x / y2)3
Q6. Rewrite the following without an exponent. (4/5)-1
Q7.Simplify. Write the answer without using Negative exponents
a). (w2)-5
Q8. 7x4 - x-8 . 2z-2z2t . 7t8
Q9. Simplify the expression
( x2 + 8) - (6x2 + 6x + 7) + (4x2 + 3x + 6)
Q10.Simplify as much as possible
A) 3t . 5t4w5 . 2w5
B). (3z + 4y - 5) (z + 6y + 6)
Q11. Write in simplest form without parenthesis
(z + 6) (z - 5)
Q12. Rewrite without parenthesis and simplify. (7y - 32)
Q13. Factor.
A). z2 + 4z - 2
B). 3x2 + 8x - 16
C). 9 - 64z2
D).4x2 + 13xy + 10y2
E). -ux + tu + 4t - 4x
Q14. Multiply. Write answer in lowest terms
3z / 10xz . 5x / 2z
Q15. Add. write answer in lowest terms
- (x - 3u / 6x) + 2x - 7u / 6x
Q16. Subtract and Simplify
4 / x - 1 - (x + 2 / x)
Q17. Reduce expression to lowest terms
3y2 -15y - 42 / y2 + 6y + 8
Q18. Solve for y. Simplify as much as possible
3 / y = -6
Q19. Find all values of satisfying the equation. If there is more than one solution, separate them in commas.
7 / t - 1 = -4 - (1 / t + 2)
Q20. Solve the proportion for y. Round the answer to the nearest tenth.
13 / y = 3 / 7
Q21. A machine produces 249 bolts in 21 minutes. At the same rate, how many bolts would be produced in 28 minutes?
Q22. Rewrite in simplified radical form. Assume all variables represent positive real numbers.
√20t12
Q23. Simplify expression as much as possible. Assume all variables represent positive real numbers.
y√27x3 + 4x√3xy2
Q24. Simplify. Assume all variables represent positive real numbers.
√5t2z2 √10tz4
Provide complete and step by step solution for the question and show calculations and use formulas.