Practice test 1 for the Florida State College Basic Skills Math Exit Test 1. Simplify: 3 a. b. c. d. 2. x 6 + 4 2+6–3 14 17 23 26 Simplify: 8 – (6 – 2 )2 + 33 a. b. c. d. 3. 9 + 4 (2 – 3)2 -1 0 1 6/13 23 Simplify: 6 -8 + 3 +5 - a. b. c. d. 4. 2 6 8 10 12 Simplify: -3[2x + 3(4x -3)] a. b. c. d. 5. 42x + 27 42x – 27 -42x + 27 -42x – 27 Evaluate the given expression when g = 4: g2 – 3g + 7 a. b. -1 3 c. d. 6. 11 27 Solve for x: 2(7 – 3x) = 9x - 16 a. b. c. d. 7. 15 7 10 2 Solve for x: 1 x+2=4+x 3 a. b. c. d. 8. 3 -3 5 -5 Solve for y: 3 y = 3x + 6z 4 a. b. c. d. 9. y = 12x + 8z y = 9x + 18z y = 7x + 10Z y = 4x + 8z Solve: 13x < 3(x – 5) + 7x a. b. c. d. x < -5 x > -5 x<5 x>5 10. Choose the equation that shows if six times a number is divided by 4, the result is 3 greater than the number. 6x + 3 = b. 6x + c. 6x =x+3 4 d. 11. 6x x =3 4 x 4 =3 The width of a rectangle is 6 yards less than its length. The perimeter is 52 yards. What is its length? a. b. c. d. 12. 13. x 4 a. 10 yards 16 yards 32 yards 4 yards 12 cans of tuna fish cost $10.20. What proportional equation could be used to find the cost of 15 cans? a. 12 x = 10.50 15 b. 12 10.50 = 15 x c. 10.50 x = 12 15 d. 12 15 = x 10.50 Simplify: (3w2x3y5)3 a. 3w5x6y8 b. 3w6x9y15 c. 6w5x6y8 d. 27 w6x9y15 14. Simplify: 3m n 2 p 12mn 2 p 6 1 4 p5 a. 15. b. c. m2n4 p7 4 d. 3 12 p 5 2ac 6 8b 7 c. a 4c6 4b 7 d. a 2c 2 4b 3 16e6f4 c. 8 e5f4g2 d. 8e3f9g2 3mn2 12 p 6 Simplify: 2ab 2c 4 8a 3b5c 2 a. 2b 7 8a 4 c 6 16. Simplify: b. (4e3f2g0)2 a. 16e5f4g2 17. Convert to scientific notation: b. 0.000256 a. b. c. d. 18. 2.56 x 104 2.56 x 10-4 2.56 x 10000 2.56 x 1-5 Convert to standard notation: 9.34 x 106 a. b. c. d. 19. 934,000,000 93,400,000 9,340,000 934,000 Simplify: 12 y 2 7y 8 - 4y2 3y 4 a. b. c. d. 20. 8y2 -10y + 4 8y2 -4y + 4 8y2 -10y + 4 8y2 -10y + 12 Simplify: 5y2(3y – 6) a. b. c. d. 21. 8y3 – 6 8y3 – 11 15y3 – 6 15y3 - 30 Simplify: 3b 4 5b a. b. c. d. 22. 2 15b2 – 14b - 8 8b2 - 4b – 2 15b2 + 3b – 6 8b2 – 14b + 8 Factor completely: 24x4y3 + 18x2y5 a. b. c. d. 23. 3xy(8x3y2 + 6xy4) 2x2y3(12x2 + 9y2) 6x2y3(4x2 + 3y2) 4x2y3(3x2 + 4y2) Factor completely: 49 – 9b2 a. b. c. d. 24. 9(40 – b2) (7 – 3b)(7 – 3b) (7 – 3b) (7 + 3b) (7 – 3b2)(7 + 3b2) Factor Completely: 2x2 + 6x + x + 3 a. (x - 3)(2x + 1) b. c. d. 25. (x - 3)(2x - 1) (x + 3)(2x – 1) (x + 3) (2x + 1) Identify a factor of the trinomial below: 2 12x – 22x + 10 a. b. c. d. 26. (2x + 2) (2x – 2) (3x + 5) (15x – 5) Simplify: 2x 2 a. b. c. d. 27. 7x 6 2 x 2x + 3 -2x – 3 2x - 3 -2x + 3 Solve: 4x2 – 12x – 40 a. b. c. d. 28. x = 4, x = -10 x = -4, x = 10 x = -2, x = 5 x = 2, x = -5 Solve: 3x2 + 5x + 2 a. x = -1, x = - b. x = 1, x = c. x= 2 3 2 3 3 2 ,x= 5 5 d. 29. 3 2 x=- ,x=5 5 Assume x > 0; simplify completely: 72 x 3 y 2 a. b. c. 9xy 8 x 4xy 18 x 6xy 2 xy d. 6xy 2 x 30. Simplify: 2 a. b. c. d. 31. 2 6 2 + 12 2+2 3 4 12 2+ 3 3 Simplify: 3 2 12 a. b. c. d. 32. 3 75 12 3 16 3 - 2 12 2 88 14 3 Identify the x and y intercept for the following equation: 6x + 2y = 18 a. b. c. d. (0, 3), (0, 9) (3, 0), (0, 9) (3, 9), (0, 0) (9, 0), (0, 3) 33. Match the linear equation to its graph: y = 2x – 7 b. a. c. d. Answers 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. c a b c c d b d a c b c d a c b b c d d a c c d b b c a d b a b c
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