MATH 050 Prealgebra Practice Test 1 Introduction to Algebra & Integers Student fill in: Name Student Number Date Fill in this section after scoring your test. Problem Number Number of Section Numbers Wrong Problems 1.7 1-6 6 1.8 7-11 5 1.9 12, 13 2 2.1 14-16 3 2.2 17-21 5 2.3 22-26 5 2.4 27-38 12 2.5 39, 40 2 2.6 41-47 7 Test 1 Total 47 Total Score: ______ Right out of 47 = ________% DIRECTIONS for taking this Practice Test: You WILL NOT be allowed to use a calculator when you take Post Test 1. For best results DO NOT use a calculator on this Practice Test! 1. Do all assignments for Test 1 before you do this Practice Test. 2. You may take the Practice Test anywhere you do your coursework. While taking it, treat it as if it were a real test: • This means take the whole test at one time, without using your book or your notes. Do not ask anyone for help. • You may not get assistance from an Instructor until this test has been completed and scored. 3. SHOW all necessary WORK. Write your final answer in the space provided. 4. Score your Practice Test using the answer key. 5. Find your errors on any problems you missed. If you still need help, see your Instructor or another classmate. • Only Math Lab or Lab/Lecture students can work in the Math Lab Classroom or see a Math Lab Instructor. • Math Lab students must turn in this scored Practice Test at the Service & Testing Counter when ready to take the Post Test. For problems 1 & 2, translate using numbers and symbols. Do not simplify. 1. Five times n plus three. 1. _______________ 2. Six times the sum of x and 2. 2. _______________ Fall 2007 MATH 050 Practice Test 1 Page 2 For problems 3 & 4, evaluate for the given numbers. 3. 2a − 5b for a = 10 and b = 1 3. _______________ 4. b x + 2g for x = 6 4. _______________ 4 For problems 5 & 6, use the distributive property to simplify. 5. 6. b g 5b x + 2g − 3 2 y −1 5. _______________ 6. _______________ 7. Combine like terms: 3x + 2 x − x 7. _______________ 8. Write the perimeter of the rectangular figure as an algebraic expression, then simplify. 8. _______________ 4x 3x + 2y 9. Translate into an equation. Do not solve the equation. If 3 is multiplied by a number, the result is fifteen. 9. _______________ For problems 10 & 11, solve and check your answer. 10. x − 2 = 5 10. _______________ 11. 5x = 15 11. _______________ MATH 050 Practice Test 1 Page 3 12. George and his friends went to the movies. They purchased 2 adult tickets, 5 student tickets, and 2 child tickets. How much did they spend all together on movie tickets? 12. _______________ Theater Ticket Prices Adult Student Child $10 $5 $2 13. Sue wants to add a decorative wallpaper border to her living room. Refer to the diagram below for the dimensions of the room. How many feet of the wallpaper border will she need? 13. _______________ 8 ft 5 ft 15 ft 12 ft 10 ft 20 ft 14. Replace the ? with the correct inequality symbol < or >. 14. _______________ −6 ? 7 c b gh 15. Simplify: − − 5 15. _______________ 16. State the absolute value: −3 16. _______________ For problems 17-19, add using the rules for addition of integers. b g −2 + b−10g −5 + 2 + b−3g + 4 17. 5 + −10 17. _______________ 18. 18. _______________ 19. 19. _______________ MATH 050 Practice Test 1 Page 4 20. Evaluate − x + 5 for x = 2. 20. _______________ 21. The temperature at 3 p.m. was −6°F. By 8 p.m. the temperature had dropped another 6 degrees. What was the temperature at 8 p.m.? 21. _______________ For problems 22 & 23, subtract. b g 22. 2 − −3 22. _______________ 23. 2 − 5 23. _______________ b g 24. Perform the necessary operations: −3 + 5 − −1 24. _______________ 25. Evaluate 2 + x − y for x = −2 and y = 1 . 25. _______________ 26. Find the difference between a boiling point of 220°F and a freezing point of −45°F. 26. _______________ For problems 27 & 28, multiply. b g −5b −1g 27. 5 −1 27. _______________ 28. 28. _______________ 29. Determine the sign of the product of the following integers (positive OR negative). Do NOT multiply! b gb gb gb gb g −1 −35 42 −210 27 3 29. _______________ MATH 050 Practice Test 1 Page 5 b gb g 30. Multiply: 2 −2 −5 30. _______________ For problems 31-34, evaluate. 31. b−2g 2 32. −2 2 33. 34. 31. _______________ 32. _______________ b−1g b−1g 6 33. _______________ 13 34. _______________ For problems 35 & 36, divide. 35. −10 −2 35. _______________ b g 36. 15 ÷ −5 36. _______________ For problems 37 & 38, evaluate for a = −6 and b = −3. 37. −a b 38. b 2 37. _______________ 38. _______________ MATH 050 Practice Test 1 Page 6 For problems 39 & 40, simplify. b g 39. _______________ b g 40. _______________ 39. −1 + 5 −2 40. 2 + 3 3 − 5 For problems 41-45, simplify. 41. 3a − 8a 41. _______________ 42. −2 x − 3x 42. _______________ b g 43. 3x + −2 x 43. _______________ 44. −6a − 5b − a + 2b 44. _______________ b g 45. _______________ 45. −2 a + 4 For problems 46 & 47, evaluate for x = 6 and y = −2 . 46. x − 2 y 47. x+y 2 46. _______________ 47. _______________ MATH 050 Practice Test 1 Answers 1. 5n + 3 2. b g 6 x+2 25. −1 26. 265°F 3. 15 27. −5 4. 2 28. 5 5. 2y − 2 6. 5x + 7 7. 4x 8. 14 x + 4 y 9. 3x = 15 (any variable acceptable) 10. x = 7 11. x = 3 12. $49 13. 70 ft 14. < 15. 5 16. 3 17. −5 18. −12 19. −2 20. 3 21. −12°F 22. 5 23. −3 24. 3 29. negative 30. 20 31. 4 32. −4 33. 1 34. −1 35. 5 36. −3 37. −2 38. 9 39. −11 40. −4 41. −5a 42. −5x 43. x 44. −7a − 3b ( −3b − 7a is also acceptable) 45. −2a − 8 ( −8 − 2a is also acceptable) 46. 10 47. 2 Fall 2006