Algebra 1 Final Exam - PDF

Name Class Date Mr. Libengood's Algebra 1 Final 4 17 1. 15 − 21 = 57 − 105 − 19...

Name Class Date Mr. Libengood's Algebra 1 Final 4 17 1. 15 − 21 = 57 − 105 − 19 35 19 35 57 105 2. 4−2 simplifies to __________. –8 16 3. –31.25 + (–7.621) = –38.871 –23.629 –10.746 23.629 38.871 4. A store owner marks up jeans 200%. If she sells a pair of designer jeans for $36, what did she pay for them? $12 $18 $30 $72 $108 x 5. What should be done to both sides of 6 = 23 to solve for x ? add 6 divide by 6 multiply by 6 subtract 6 nothing 6. Solve x > 2 or x < 3. x>2 x –60 n < –60 n < –7 n> n< 9. Which of the following is an arithmetic sequence? an = 3an – 1 ; a1 = –2 5, 10, 20, 40, 80,... –2, 4, –6, 8, –10,... 10, 3, –4, –11, –18,... 8, 10, 13, 17, 22,... 10. When was David stopped at a light? Select all that apply. at 1 min at 5 min at 8 min at 10 min at 15 min at 20 min 11. Which expression is in scientific notation? 1 none of these 12. Express 0.000081217 in scientific notation. none of these 13. True or False. 30 × 10−1 is greater than 0.3 × 101. True False 14. Multiply (2 x + 5)(3 x + 2). 15. Multiply (4 x – 5)(3 x + 2). 12x2 – 7x – 10 12x2 – 10 7x2 – 10 12x2 – 23x + 10 12x2 – 7x + 10 16. What is the degree of the polynomial 3 x 77 + 10 x 33 + 11 x + 2? 3 4 7 10 11 6y 3z−12y 6z−20y 9z2 17. Divide. 2y 3z 18. Find the GCF of 12x3 y and 21x2 y2. none of these 19. Factor x 22 – 5 x – 14. (x + 2)(x – 7) (x – 2)(x + 7) (x – 2)(x – 7) (x – 2)(x – 3) – 20 prime 20. Which of the following is factored completely ? all of these 21. Solve 2√x‾‾‾‾ + 3‾ = 5. 22. Simplify √50 ‾‾ ‾ ⋅ √18 ‾‾ ‾. 30 none of these 1 2 23. Convert 2 3 x 3 to radical form. 3 ‾‾ 24. Convert √ 8y to exponential form. 25. True or False. For all real numbers x , √‾‾ x2 = x True False 26. Solve (2 x – 5) 22 + 16 = 25. x=3 x = 2, 3 x=4 x = 1, 4 x=7 27. Solve x 22 + 5 x = 6. x = 2, –3 x = –2, 3 x = –1, –6 x = 1, –6 x = –1, 6 28. True or False. The equation x 22 = –100 has no real solution. True False 29. Which of the following best describes the solution(s) to 3x2 + 5x + 2 = 0 ? 2 rational solutions 2 irrational solutions 1 rational solution no real solution cannot be determined 30. Solve 8 k + 4 k + 2 < -10. k < –2 k > –2 k < –1 k > –1 k< 31. –7(2 x – 4) + 3(–2 x + 5) simplifies to __________. –20x + 43 –8x + 43 –8x + 13 8x + 13 8x –13 32. Which of the following could not represent the sum of 5 and a number? 5+n n+5 x+5 5+y 5x 33. Which expression would be negative? 34. True or False. 9 00 = 0 because anything to the zero power is 0. True False 35. True or False. 8 + |−8| = 0 True False 36. Solve –3 x + 7 = 5. 4 6 37. Match the graphed line to its equation. y = 4x + 1 y = –x + 4 y = –4x + 1 y = − 14 x + 1 y = 14 x + 1 38. State the slope and y-intercept of 3x + 9y = 18. none of these 39. Which line has a positive slope? all but B 40. Find the x- and y- intercepts of the line 3 x – 4 y = 12. x-int: (4, 0); y-int: (0, 3) x-int: (0, 4); y-int: (3, 0) x-int: (4, 0); y-int: (0, –3) x-int: (0, 4); y-int: (–3, 0) x-int: (0, 12); y-int: (12, 0) 41. Which of the following lines does not have an x -intercept? x–y=6 x=5 y=3 3x + 2y = 4 All the lines have x-intercepts 42. Which of the following graphs represents a direct variation? 43. True or False. Every relation is a function. True False 44. Simplify (2 x + 3 y – 4)(5 x – 2 y + 3). none of these 45. Solve 4 x 22 + 9 = x 22 + 25. 46. True or False. Every quadratic equation has exactly 2 real solutions. True False 47. Which of the following has a y -intercept of (0, 3) and is decreasing? 1 48. True or False. 3x −3 = 3x 3 True False 49. True or False. x a x b = xab True False