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TOURO COLLEGE NYSCAS SGS

SPRING 2022 SEMESTER REVEIW FOR FINAL EXAM B

COLLEGE MATHEMATICS GSMN 130/132

Answer all questions by circling the letter corresponding to the best answer on this question sheet. Always place all answers in proper form (reduced, mixed number form, etc.).

Part I Arithmetic Operations Rules and Operations

1. -11 – 7 =

a) -4 b) -18 c) 18 d) 4 e) none of these

2. 3/5 2/3 =

a) 2/5 b) 15/6 c) 7/9 d) 9/10 e) none of these

3. What is the greatest common factor for : 12 and 20

a) 1 b) 2 c) 4 d) 6 e) none of these

4. .035 x 1.1 =

a) .0385 b) .00385 c) .385 d) 3.85 e) none of these

5. -5 – -3 + 4 =

a) 2 b) -6 c) 6 d) -4 e) none of these

6. Round to the nearest ten thousandth: .0035475

a) .0035 b) .00355 c) .004 d) .003548 e) none of these

7. Convert to scientific notation: .0000567

a) 56.7 x 104 b) 5.67 x 10-4 c) 5.67 x 105 d) 5.67 x 10-5 e) none of these

8. Evaluate -2Y3 2Y2 2Y 2 for the value Y = -2

a) -16 b) 10 c) 26 d) 12 e) none of these

9. Transform into a fraction: .0045

a) 45/100 b) 45/1000 c) 9/2000 d) 3/700 e) none of these

10. Six is thirty percent of what number?

a) 30 b) 20 c) 36 d) 28 e) none of these

Part II Equations and Inequalities

11. Identify the solution region for: 3Q + 7 < Q - 1 a) Q > -4 b) Q < 4 c) Q < -4 d) Q > 4 e) none of these

12. Solve for Y: 2Y2 – 5Y = 12

a) -3/2 b) -4 c) 3/2 d) 12 e) none of these

13. Find the value of Z in the equation: 2/3 Z + 5 = Z + 7

a) 3 b) -3 c) -6 d) -9 e) none of these

14. Find B in this system of equations: 2A + 2B = -2 and 5A – B = 13

a) -3 b) 2 c) 3 d) -2 e) none of these

15. Solve for X: (3X – 1) (3X – 2) = 0

a) 1/3, -2/3 b) 1/3, 2/3 c) -1/3, -2/3 d) -1/3, 2/3 e) none of these

16. Solve for A: 1/5 A + 2 < 2A + 11 a) < -5 b) < 5 c) > 5 d) > -5 e) none of these

17. Solve for G in the following system: 2G – 2H = -6 3G + H = 3

a) 0 b) -3 c) 3 d) -5 e) none of these

18. Find the value of Q: 5Q + 3 = 2Q – 9

a) 4 b) -4 c) 3 d) -3 e) none of these

19. For the equation: X2 + X – 2 = 0, solve for X

a) 1 b) c) -1 d) 0 e) none of these

20. Solve for Y: 3/7 Y = 3

a) 7 b) 3 c) -3 d) -7 e) none of these

Part III Evaluation of exponential, radical, and graphical operations

21. Identify the slope for the line given by: -Y = -5/8 + 3

a) -3 b) -5/8 c) 5/8 d) -3 e) none of these

22. What is the Y intercept for the line described by: 2X + 3Y = -15

a) -2/3 b) 5 c) -15 d) -5 e) none of these

23. Find the slope for this line: 3Y – 6X = 12

a) 2 b) 12 c) 4 d) -2 e) none of these

24. Multiply: X-3 X4 X-1 X X2 X0 =

a) X2 b) X3 c) X d) X0 e) none of these

25. Write with no negative exponents: -2Y-2Z =

X-3

a) -2X3Y2Z b) X3Z c) -2X3 d) -2X3Z e) none of these

-2Y2 Y2Z Y2

26. Divide: Z-4 Z-5 =

a) Z-1 b) Z-9 c) Z d) Z9 e) none of these

27. (-4X2Y3)3 =

a) -4X6Y9 b) -64X6Y9 c) 16X6Y9 d) -4XY15 e) none of these

______ _____

28. 108 – 75 =

_____ _____ _____ _____

a) 33 b) 3 2 c) 3 11 d) 3 e) none of these

_____ ______

29. 15 20 =

_____ ____ ____ ____

a) 10 3 b) 3 10 c) 12 5 d) 15 20 e) none of these

_____

30. 18 =

____________

2

____ _____

a) 2 3 b) 90 c) 3 d) 6 e) none of these

2

Part IV Operations with Polynomials

31. Multiply: (2X 3)(3X – 2)

a) 6X2 6 b) 6X2-13X-6 c) 6X2-13X+6 d) 6X2+13X+6 e) none of these

32. Factor: 6Y2 – 5Y + 1

a) (3Y-1)(2Y-1) b) (6Y-1)(Y+1) c) (3Y+1)(2Y-1) d) (3Y+1)(2Y+1) e) none of these

33. Multiply: (3Q-4) (3Q+4) =

a) 9Q212Q-16 b) 9Q2-16 c) 9Q2+23Q-16 d) 9Q+16 e) none of these

34. Multiply: (2X + 3)(3X 5) =

a) 6X2+X-15 b) 6X2-X+15 c) 6X2-X-15 d) 6X2+X+15 e) none of these

35. Factor: X2 + XY + 5X + 5Y

a) (X+Y)(X+5) b) (X+1)(X+5Y) c) (X+Y)(Y+1) d) (X+5Y)(X+1) e) none of these

36. Factor: 81Q2 – 1

a) (9Q 1)2 b) (9Q-1)(9Q-1) c) (9Q+1)(9Q-1) d) (27Q-1)(3Q-1) e) none of these

37. Factor: (4Y 3) (5Y + 2) =

a) 20Y2-15Y-6 b) 20Y2-7Y-6 c) 20Y2+8Y-6 d) 20Y2+7Y-6 e) none of these

38. Multiply: (11 R)(11 + R) =

a) 121 – R2 b) 121 + R2 c) 121 + 22R – R2 d) 121 22R – R2 e) none of these

39. Multiply: (Z 3)(Z 3) =

a) Z2 6Z + 9 b) Z2 – 9 c) Z2 + 9 d) Z2 + 18Z + 9 e) none of these

40. Factor: 12Y2 – 35Y – 3

a) (3Y+1)(4Y-3) b) (6Y-1)(Y+3) c) (12Y+1)(Y-3) d) (4Y-3)(3Y+1) e) none of these

Part V Word Problems

41. A bag of coins contains quarters, dimes and nickels. There are twice as

many nickels as dimes and five less quarters than dimes. The total value of

the coins is $3.25. How many of the coins are dimes?

a) 10 b) 12 c) 20 d) 15 e) none of these

42. The perimeter of a triangle forty-two inches. The longest side is one less

than twice the length (in inches) of the next longest (middle) side. The

shortest side is five inches less than length of the middle side. What is the

length of the middle side?

a) 23 b) 21 c) 24 d) 12 e) none of these

43. A 15 foot ladder leans against a wall. It reaches 3 feet higher than it stands

from the base of the wall. How high does the ladder reach up the wall?

a) 12 b) 9 c) 15 d) 10 e) none of these

44. The sum of two numbers is one and their difference is seven. What is the

value of the smaller number?

a) 3 b) -3 c) 4 d) -4 e) none of these

45. Dad is three years less than three times his daughters age. In five years the

sum of their ages will be sixty-seven. How old is Dad?

a) 15 b) 35 c) 42 d) 51 e) none of these

46. The perimeter of a rectangle is less than 68. The length is 5 less than twice

the width. Find the length of the rectangle.

a) <13 b) <18 c) <21 d) <24 e) none of these 47. The sum of two integers is less than negative four. Their difference is less than negative eighteen. What must be the value of the larger number? a) < -7 b) < 11 c) < -11 d) < 7 e) none of these 48. The sum of two consecutive odd integers is greater than minus twenty-four. What are the possible values for the larger integers? a) > -15 b) > -13 c) >-11 d) > -9 e) none of these

49. The area of a triangle is 63 square inches. The base is 4 less than twice the

height. Using the formula A = 1/2bh, find the base.

a) 7 b) 9 c) 11 d) 14 e) none of these

50. The product of, a number increased by five, and the same number decreased

by five is 375. Find the number.

a) 10 b) 15 c) 20 d) 25 e) none of these

E N D O F T E S T

August 19, 2022

August 19, 2022

August 19, 2022

August 19, 2022