Assignment:
Q1. Factor the trinomial
c3 - 3c2 - 54c Type N if the trinomial is not factorable
Q2. Multiply [r+1/3] [r+1/3]
Simplify your answer
Q3. If a pro basketball player has a vertical leap of about 20 inches, what is his hang time? Use the hang-time function V= 48 T2
The hang time is ----seconds (Simplify your answer. Type an integer or a decimal. Round to nearest tenth)
Q4. If the sides of a square are lengthened by 7cm, the area becomes . Find the length of a side of the original square. The length of the original square is …cm
Q5. Simplify by removing factor of 1.
q2 - 1 / (q + 1)2
Q6. Factor completely 4t2 + 49 - 28t
Type N if the expression is not factorable
Q7. Solve √5x + 29 = x + 3
Use a comma to separate answers. Type N if the solution is not a real number
Q8. Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function f(x) = 1/ 3(x + 8)2 +1
(a)The vertex is (type an ordered pair
(b) The line of symmetry is
(c) What is the maximum/minimum value of f(x)
(d) Is the value, f (-8) =1 a minimum or maximum
Q9. Add, simplify if possible
2s/ s2 - 9 + s/ s-3 (Simplify your answer)
Q10. Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.
√12a2b
Type an exact answer, using radicals as needed.
Q11. Convert to decimal notation 8.66 x 107
Simplify your answer. Type an integer or a decimal.
Q12. Jack usually mows is laws in 3 hours. Marilyn can mow the same yard in 5 hours. How much time would it take for them to mow the lawn together? Simplify your answer. Type an integer, proper fraction, or mixed number
Q13. Express using a positive exponent. b-5
Simplify your answer. Type a positive exponent.
Q14. Add.
(3b4 - 3b3 + 2b2 + 14b - 8) + (b5 + 7b3 + 9b2 - 2b+ 6) + ( -6b4 + b2 -10b - 6)
Simplify your answer
Q15. Add.
(6x2 - 9xy + y2) + ( -9x2 - 8xy - y2) + (x2 + xy -3y2)
Q16. Solve 10x4 - 29x2 + 10 =0
Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separate answers as needed. Type N if there is no solution
Q17. Factor. B2 + 4b + 4
Type N if the trinomial is not factorable.
Q18. Factor Completely 4v2 - 25
Type N if the binomial is not factorable
Q19. Solve (x+8) (x-16)(x+6)> 0
Use at least one equality or compound inequality to express your answer. For answers with more than one equality, separate the inequalities by a comma or word. Type R if the answer is all real numbers. Type N if there is no solution.
Q20. Solve. 4x( x-2 ) - 5x(x-1) = 2
Simplify your answers. Use a comma to separate answers. Type N if there is no solution.