Math 0409 Final Exam Review
1. Combine like terms:
2. Find the perimeter of the polygon.
3. A yard in the shape of a square measures
16 ft on each side. A triangular area with a
height of 4 ft and a base of 6 ft is dug up for a
flower bed.
4. Find the area of the shaded region.
5. Find the area
6. Find the area
7. Find the area.
8. Find the perimeter.
9. Find the area.
10. Solve
11. Solve.
12. The sum of twice a number and 5 less
than the number is the same as the
difference between -17 and the number.
What is the number?
11x  (7 x)  14  (6x)  7
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Math 0409 Final Exam Review
13. The sum of three consecutive integers is
528. Find the integers.
14. If the first and third of three odd
consecutive integers are added, the result is
87 less than five times the second integer.
Find the third integer.
15. Solve for C
16. Jim drove 168 miles in 4 hours. If he can
keep the same pace, how long will it take
him to drive 504 miles?
17. Divide and simplify
18. Solve
19. Solve for a
20. Simplify
21. Convert to decimal notation
22. Evaluate the polynomial
23. Identify the polynomial
as a monomial, binomial, trinomial or none of these.
Give its degree.
24. Subtract
25. Find a polynomial for the sum of the
shaded areas of the figure.
A=6
B=4
26. Simplify
27. Multiply
28. Multiply
(4x + 5) (x – 2)
(6p – 1) (36p2 + 6p + 1)
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(9x5 + 20x4 + 5) — (4x4 + 6x5 — 10)
(—3x5y)( —4x9y2)
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Math 0409 Final Exam Review
29. Multiply
30. Multiply
(4x – 2) (4x – 2)
(9x + 10) (9x + 10)
31. Find the degree of the polynomial
32. Divide
6
8 2
5 2 3
x yz – x y – 3x y z
33. Factor
2m(9–m) + 7n(9–m)
34. Factor x2 – 5x – 36
35. Factor x2 – 12x + 36
36. Factor 6x2 – 6x – 36
37. Determine whether the following is the
difference of two squares.
X2 + 4
38. Factor 49x2 – 36
39. Factor 10a3 + 15a2b – 4ab2 – 6b3
40. Factor x2 – x – 42
41. The length of a rectangular frame is 3 cm more
42. Multiply & Simplify
than the width. The area inside the frame is 180
square centimeters. Find the width of the frame.
43. Divide and Simplify
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44. Graph the line containing the given pair
of points. (3, 3) (–4, 3)
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Math 0409 Final Exam Review
45. Solve the equation
46. Solve the equation
3(y + 8) – 4(y – 3) = 0
7s + 12 = –8s
47. Evaluate –(–x) when x = –4
49. Simplify
3[–3 + 8(–3 + 5)]
51. Subtract
2
48. Simplify
27 + (–51) – 18 – (–57) + (–79)
50. Solve
52. Multiply
2
(3q + 10q – 8) – (6q + 8q + 5)
53. Graph the linear equation 7x – y = –7
54. Perform the indicated operation.
Write the answer in scientific notation.
56. Use the coordinates to find the slope of
the line.
55. Perform the indicated operation.
Write the answer in scientific notation.
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Math 0409 Final Exam Review
57. Find the slope of the line through the
points
(–1, 3) and (–9, –3)
58. Write the equation of the line with
the given slope and y-intercept.
Write the equation of the line with
the given slope and y-intercept.
Slope = – 5 and y-intercept. (0, 2)
59. Write the equation of the line with
the given slope and y-intercept.
Write the equation of the line with
the given slope and y-intercept.
60. Graph the linear inequality
61.
62.
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Find the intersection.
2x – 6 > –3y
Find the union.
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Math 0409 Final Exam Review
Answer Key
1
24x – 7
2
90m
3
244 ft2
4
342 yd2
5
814 cm2
6
216 mi2
7
602.88 ft2
8.
25.12 cm
9
18.0864 ft2
10
150
11
–2
12
–3
13
175, 176, 177
14
29, 31, 33
16
12
18
t 1
20
x 10
y 10 z 8
15
C=
5
(F – 32)
9
17
1
z2
19
a-
21
639800
22
–16
23
trinomial; degree 4
24
3x5 + 16x4 + 15
25
A  π(r 2  20)
26
12x14y3
27
4x2 – 3x – 10
28
216 p3 – 1
29
16x2 – 16x + 4
30
81x2 + 180x + 100
31
10
32
33
(2m + 7) (9 – m)
34
(x – 9) or (x + 4)
35
(x – 6) (x – 6)
36
6(x – 3) (x + 2)
37
No
38
(7x + 6) (7x – 6)
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1
36
3x + 4 +
3
x
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Math 0409 Final Exam Review
39
(2a  3b) (5a 2 - 2b 2 )
40
(x – 7) (x + 6)
41
12
42
k
k  4
43
9
8
44
45

47
46
36
–4
48
–64
49
39
50
y = 8x – x – z
51
–3q2 + 2q + 13
52
3.5 1018
54
4.59  10 4
53
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4
5
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Math 0409 Final Exam Review
55
3 10 9
56
–1
57
3
4
58
5x + 1y = 2
y = –5x + 2
59
6x –5y = 15
6
y  x 3
5
60
61

62
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{a, b, c, d, e, f, g, h, I, j}
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