07 Module 2 Exam 2 Review For Chapters 3, 8,10

Review for MODULE #2 EXAM #2 Chapters 3, 8, & 10

I. SECTION 8.1: Convert the units by using unit ratios: 5 Problems. (3 Point each)

1. 8 yards = _________ ft.

2. 2 mi = ____________ in.

3. 85 cups = _________ pints

4. 2.5 gallons = __________ fl. oz.

5. 3 days = ______________ min

6. 120 quarts = __________ gallons

7. 6,336 yd = ____________ miles

8. 1,095 days = ___________ yrs

II. SECTION 8.2:

Convert metric units by using unit ratios or the prefix line:

5 Problems (3 Points each)

9. 5.4 g = _____________ cg

10. 5.308 daL = __________ mL

11. 27 L = _________________ kL

12. 1.05 km = _____________ dam

13. 8,000 g = _______________ hg

14. 7,561 dm = _______________ m

15. 1,056 cg = ______________ hg

16. 0.94162 kL = ______________ L

17. 1.2 mm = _______________ hm

18. 10,000 cL = _______________ dL

III. SECTION 3.1: Simplify the following Expressions: 3Problems (2 Points Each)

19. 5(3 + w) = 20. -2(-10p – 12q + 3) = 21. 6 – (3m – n) – 2(m + 8) + 5n =

22. –(8w + 5) + 3(w – 15) = 23. 7 + 3(2a – 5) – (6a – 8b2) – 2b2 = 24. 13xy2 + 8y2x =

25. 5 – 3(x – 7) + x = 26. 3y – (5y + 6) – 12 = 27. –(7p – 12) – 10(1 – p) + 6 =

Review for MODULE #2 EXAM #2 Chapters 3, 8, & 10 Page 2

SECTION 10.1 → 10.3: IV, V, VI

IV. Determine by inspection if the equation is a linear equation in one variable : Answer YES or NO

(5 Problems) (1 Point Each)

28. 2x+4 =5 29. 3

y+6y=12 30. 2x+y3=12 31. 8x2+6x–7=0 32. 4(2x + 3) = 5x – 3 33. -12x+3y =16

______ ________ _______ _________ __________ _________

V. Determine if the given value is a solution to the linear equation: (2 Problems) (3 Points Each)

34. x – 2(3x + 1) = 18, x = -4 35. -3(2x + 1) = 4x + 7, x = 1 36. 4x + 2 = 14, x = 3

VI. Solve each the following equations. SHOW ALL STEPS. (6 PROBLEMS)

(To include No Solution and All Real Numbers.) ( Points Each)

37. 3x – 7 = 29 38. 4x + 5

5 – 8 = -11 39. 6x – 2(x + 4) = 5(x – 1) – (x + 3)

40. 8(3 – 2x) + 10x = 7 – 2(4 – 5x) 41. 0.7x + 0.15(5 – x) = 0.2

42. 11x – 6(x+ 1) + 15 = 5(x – 6) + 22 43. 2x

5 + 1 = –6 44. 3x – 4(2x + 1) = 7(x – 2) + x + 10

45. 1

4(4x + 3) = 1

2(-3 – 4x) 46. x

2 – 1 = x

5 + 2 47. 0.2x – 0.08 = 0.6x – 0.04

Review for MODULE #2 EXAM #2 Chapters 3, 8, & 10 Page 3

VII. SECTION 10.4 – THERE WILL BE 4 PROBLEMS ON THE TEST. (3 Word and 1 Consecutive.)

For each problem to get full credit you must do the following:

(a) Write a Let (b) Write the Equation (c) Solve the Equation and (d) Write final answer by Let with Label

(Example: 3 feet)

48. Five times a number is the

same as three less than the

number. Find the number.

49. A 27 foot board is to be

divided into two pieces so that

one piece is twice as long as the

other. If x represents the shorter

piece find the length of each piece.

50. An 18 foot piece of wire is

cut into two pieces so that one

piece is 3 feet longer than four

times the shorter piece. If the

shorter piece is y feet long, find

the length of each piece.

51. The sum of eight times a

number n and twelve is the same

as the difference of triple the

number n and eighteen. Find the

number.

52. During the 2002 Houston

Bowl, Oklahoma State beat

Southern Miss by 10 points. If

their combined scores totaled 56

points, find the individual team

scores.

53. Three times 1 less than twice

a number is equal to 21. Find the

number.

54. To make an international

telephone call, you need the code

for the country you are calling.

The codes for Belgium, France

and Spain are three consecutive

integers whose sum is 99.

Find the code for each country.

55. The room numbers of two

adjacent classrooms are two

consecutive even numbers. If

their sum is 654, find the

classroom numbers.

56. A quadrilateral is a polygon

with 4 sides. The sum of the

measures of the 4 angles in a

quadrilateral is 360o. If the

measures of the angles of a

quadrilateral are consecutive odd

integers, find the measures.

Review for MODULE #2 EXAM #2 Chapters 3, 8, & 10 Page 4

VIII. SECTION 10.6 – THERE WILL BE 5 PROBLEMS ON THE TEST.

(2 Geometry Application, 1 Complementary/Supplementary)

For each problem to get full credit you must do the following:

(a) Write a Let (b) Write the Equation (c) Solve the Equation and (d) Write final answer by Let with Label

(Example: 3 feet)

Word Problems:

57. The length of a garden is 2 yards less than four

times its width. The perimeter of the garden is 96

yards. What are the dimensions (length and width)

of the garden?

58. The flag of Equatorial Guinea contains an

isosceles triangle. (Isosceles triangle contains two

angles with the same measure.) The measure of the

third angle of the triangle is 30º more than twice the

measure of either of the other two angles. Find the

measure of each angle of the triangle. (Sum of

measures of the angles of a triangle is 180º.)

59. A scalene triangle has a perimeter of 76 meters.

The second side is 9 meters less than the length of

the first side. The length of the third side is 13

meters more than the first side. Find the individual

lengths of all three sides.

60. The measure of the angles of a triangle are 3

consecutive even integers. Find the measure of

each angle.

61. Two angles are complementary if their sum is

90º. The measure of the second angle is three less

than twice the first angle. Find the measure of each

angle.

62. Two angles are supplementary if their sum is

180º. One angle measures three times the measure

of a smaller angle. If x represents the measure of

the smaller angle and these two angles are

supplementary, find the measure of each angle.

Review for MODULE #2 EXAM #2 Chapters 3, 8, & 10 Page 5

IX. SECTION 10.6 — Literal Equations: (2 Problems)_

63. A = p + prt, solve for p 64. R = UZ – T, solve for Z 65. P = 2L + 2W, solve for W

66. ax – 3b = 8c, solve for x 67. bz – z = -3, solve for z

Review for MODULE #2 EXAM #2 Chapters 1, 5, 6, 7, 8 SOLUTIONS

I. SECTION 8.1

SECTION 10.1→10.1

VII. SECTION 10.4

VIII. SECTION 10.6