MAT 117 week 9 Final Exam

MAT 117 week 9 Final Exam in \$18 only

MAT-117-week-9-Final-Exam-Guide

1. Determine whether the expression is a polynomial. If it is, state how many terms and variables the polynomial contain. Then state its degree.

-8x + 1/6x

2.  Determine whether the expression is a polynomial. If it is , state how many terms and variables the polynomial contain. Then state its degree.

2x-3y2

(5ab4 + a4b4) + (3a4b4 – 5ab)

4.  Multiply and simplify the expression.

(2- z)z

5.  Multiply

(6xy)(x+y)

6.  Multiply and simplify the expression.

(5w – 1) (6w – 3)

7. Find the product.

(3b +6) (3b-6)

8. Multiply.

(x4 +y4)(x4 –y4)

9.  Divide and check.

(x7+x2)/x

10.  Identify the greatest common factor.  Then factor the expression.

3x7 + 6x6 – 9x5 + 6x4

11.  Completely factor the polynomial.

3x3 + 15x2 + 3x +15

12. Factor the trinomial completely.

x2 + 33x + 37

13. Factor the trinomial completely.

x2 – 6x + 5

14.  Factor the trinomial.

x2 – x- 2

15. Factor the trinomial completely.

Y3 – 14y2 + 48y

16. Factor the trinomial.

25r2 + 5r – 42

17.  Factor the trinomial by grouping.

2x3 – 7x2 – 15

18. Factor .

X3 – 8

19. Solve the equation.

(x-8) (4x + 9) = 0

20. Solve and check.

25x2 – 8x = 0

21.  Solve and check.

2x2 + 3x = 5

22. Multiply and simplify to lowest terms.

x2/(x2 + 10) *(x+4)/x

23. Divide and simplify to lowest terms.

(3x2-6x)/(6x-5)÷(x-2)/(6x-5)

24. Simplify to lowest terms.

16a2/(4a+9b) – 81b2/(4a+9b)

25. Find the least common multiple (LCM).

x2 – 9x , x2 + 9x

26. Simplify the expression. Write your answer in lowest terms and leave it in factored form.

3y/y(2y-1) + 4/(2y – 1)

3/(1-x) = 4/(1+ x)

28. Four inches of heavy, wet snow are equivalent to two inches of rain. Estimate the water content in 14 inches of heavy, wet snow.

29.  Write the domain and range of the function in interval notation.

f(x) = √(x- 3)

30.  Find the domain of the rational function.

F(y) = (y+3)/(y2 – 3y)

31.  Simplify the expression. Assume that all variables are real numbers.

3√125(x-9)3

32.a) Write the expression 27-2/3 in radical notation.

33. Simplify by factoring.

√ 54

34. Find the maximum y-value on the graph of y = f(x)

f(x) = -x2 + 4x + 3

35. For y = x2 – 1 do the following.

a) Sketch a graph of the equation.

b) Identify the vertex.

c) Compare the graph of y = f(x) to the graph of y = x2.

36. To solve by completing square, what value should you add to each side of the equation?

x2 + 12x = -4

37. Use the quadratic formula to find any x-intercepts on the graph of the equation.

Y = x2 + 4x -11

38. A table for y = 9x2 – 9 is given below. Solve each equation or inequality.

a) 9x2  – 9 = 0

b) 9x2  – 9 < 0

c) 9x2  – 9 > 0

 x -3 -2 -1 0 1 2 3 y 72 27 0 -9 0 27 72

39.Use the horizontal line test to determine whether the graph represents a one-to-one function.

40. Find f-1(x).  f(x) =  3√(x-6)

41. Simplify the expression, if possible.

log 1

42.  Find the approximate the logarithm to four decimal places.

log 2.95

43.  Graph y = f(x). Compare the graph to the graph of y = log x.

f(x)  log (x ) – 5

44. Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, d.

 n 1 2 3 4 f(n) -5 3 11 19

45. Find the general term an for the geometric sequence.

a1 = -2 and  a2 = 10

46. A theater has 40 seats in the first row, 44 seats in the second row, 48 seats in the third row, and so on.

a) Can the number of seats in each row be modeled by an arithmetic or geometric sequence?

b) Write the general term for sequence an that given the number of seats in row n.

c) How many seats are there in row 20?

47.  Write the terms of the series and find there sum.

4

∑     (k + 9)2

K = 1

48. A company offers a staring yearly salary of \$ 36000 with raises of \$ 3500 per year. Find the total salary over a ten-years period.

49. Solve C/L = m  for L.

50.  Solve N = cs/(c +s) for s.

51.  Determine whether f(x) represents a polynomial function. If possible, identify the degree the degree and type of polynomial Function.

F(x) = 8x2 + 6 -2x3

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