# MAT 120 Quiz

 Module 1 Check Your Understanding

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Question
1. Perform the indicated operations and simplify. (5x – 3y)2

 a. 25×2 – 30xy + 9y2 b. 25×2 – 9y2 c. 25×2 – 30xy – 9y2 d. 25×2 + 9y2

2. Change to radical form. Do not simplify. a. b. c. d. 3. Reduce the fraction to lowest terms. a. b. c. d. 4. Subtract 2a2 + 6a – 6 from 7a2 – 10a – 7.

 a. 5a2 – 4a – 13 b. 5a2 – 4a – 1 c. 5a2 – 16a – 1 d. 5a2 – 16a – 13

5. Write the expression in simplified radical form. a. b. c. d. 6. Evaluate. a. – b. c. 2 d. –2

7. Factor completely, relative to the integers. x2 + 7x + 8x + 56

 a. (x – 7)(x – 8) b. (x + 7)(x – 8) c. (x + 1)(x + 56) d. (x + 7)(x + 8)

8. Simplify. (2a–7b2)–5

 a. b. c. d. 9. Write the expression in simplified radical form. a. b. c. d. 10. Factor completely, relative to the integers. 9×2 + 12x + 4

 a. (3x + 2)2 b. (3x – 2)(3x + 2) c. (9x + 2)(x + 2) d. (3x + 1 )(3x + 4)

11. Reduce the fraction to lowest terms. a. b. c. d. 12. Add 2×2 – 8x – 5 and 5×2 – 4x – 10.

 a. 7×2 – 12x – 15 b. 7×2 – 12x + 5 c. 7×2 + 4x – 15 d. 7×2 + 4x + 5

13. Simplify and express your answer using positive exponents only. a. b. c. m24 d. m11

14. Evaluate the expression if it is a real number. a. -3 b. -9 c. -27 d. -15

15. Perform the indicated operations and reduce to lowest terms. a. b. c. d. 16. Change to radical form. Do not simplify. a. b. c. d. 17. Evaluate. (–2)–2

 a. 1/4 b. 1 c. 2 d. 4

18. Perform the indicated operations and simplify. 5x – 4x[8 – 3(x – 2)]

 a. 6×2 – 3x b. 12×2 – 51x c. 12×2 + 5x + 6 d. 12×2 + 5x – 6

19. Which of the following is not a polynomial?

 a. 4×3 + 5x – 1 b. 2x – c. 3xy2 + xy d. 24

20. Evaluate the expression if it is a real number. a. 32 b. 4 c. 64 d. 8

21. Simplify and express your answer using positive exponents only. -1/x-60

 a. x4 b. –x60 c. d. 22. Perform the indicated operations and reduce to lowest terms. a. b. c. d. 23. Write the expression in simplified radical form. a. b. c. d. 24. Write the expression in simplified radical form. a. b. c. d. 25. Evaluate. 34

 a. 81 b. 120 c. 24 d. 3

26. Factor completely, relative to the integers. 6b4 – 18b3 – 60b2

 a. 6b2(b + 2)(b – 5) b. 6b2(b – 2)(b + 5) c. 6(b2 + 2)(b2 – 5) d. b2(2b + 5)(3b + 10)

27. Perform the indicated operations and reduce to lowest terms. a. – b. c. d. 1

28. Factor completely, relative to the integers. 49a2b – b3

 a. (7a + b2)(7a – b) b. b(7a + b)(7a – b) c. b(7a – b)2 d. Prime, doesn’t factor

29. Simplify and express your answer using positive exponents only. (4w10)(7w6)(2w)

 a. 13w60 b. 13w17 c. 56w60 d. 56w17

30. Change to rational exponent form. Do not simplify. a. b. c. d. 31. Evaluate. (–5)4

 a. 225 b. 125 c. 625 d. 25

32. Write 6,640,000 in scientific notation.

 a. 6.64 x 106 b. 6.64 x 105 c. 66.4 x 106 d. 66.4 x 105

33. Factor completely, relative to the integers. x2 + 36

 a. (x – 6)(x + 6) b. (x + 1)(x + 36) c. (x + 6)2 d. Prime

34. Perform the indicated operations and reduce to lowest form. Represent any compound fractions as simple fractions reduced to lowest terms. a. b. c. d. 0

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