Beginning Algebra Practice Exam Name Answers are on-line at www.bobprior.com DAY 1 Solve each equation. 1. 4x + 18 = -5x – 27 2. -3x + 10 = -2x + 6(x – 3) 3. x 7 2 – 1 = x – 2 4. x 1 1 3 + 6 = x – 2 DAY 2 Solve each of these inequalities, and draw the graph of the solution set on a number line. 5. x – 6 > -3x + 10 6. 1 + 5y ≥ 8y – 11 DAY 3 Apply the rules of exponents. Write the answers with positive exponents only. 3 7. (x4) 11. y-5 · y2 8. p6 · p2 9. w9 w3 10. (m2) 12. x2 x -4 13. w-3 · w8 14. x -3 x -1 -3 page 1 of 6 DAY 3 Evaluate: 15. 50 · 21 16. 30 + 70 17. (-4)0 + 51 18. (-3)1 – 20 DAY 4 Perform the indicated operation and simplify. 19. (x2 – 3x + 6) + (2x – 5 – 2x2) 20. (4y – 3y2 + 2) – (3 + y2 – 8y) 21. (x + 4)(2x2 – x – 3) 22. (3y – 8)(2y + 5) DAY 4 Factor out the GCF from each polynomial. If the lead term is negative, then factor out -1 with the GCF. 23. -6x4 + 15x2 24. 8y3 – 40y2 + 4y DAY 4 Factor. If the polynomial is not factorable, write prime. 25. x3 – 4x2 + 3x – 12 26. 6y3 – 15y2 – 4y + 10 27. 8x2 – 10x + 3 28. 4x2 – 5x – 6 page 2 of 6 29. y2 + 3y – 40 30. p2 – 17p + 60 31. x2 – 36 32. 4x2 – 9 33. w2 + 25 34. -3y3 + 12y DAY 5 Simplify: 35. a2 + 4a – 5 2a2 · 2 a + 5a a2 – 1 36. x2 6x 3x2 ÷ 2 –9 x + 3x 37. c2 c2 – 5 c–7 + 2 + 4c c + 4c 38. 4y – 3 12 – y – 2 y – 9 y2 – 9 page 3 of 6 DAY 3 39. Find the slope of the line containing the points (5, -6) and (-1, 9). 40. Find both the x- and y-intercept points of 4x – 3y = -12 x-intercept point ( , ) y-intercept point ( , ) 41. 2 Find the equation of a line with slope m = - 5 that contains the point (10, -3). 42. Find the equation of a line that passes through the points (1, -5) and (-2, -14). DAY 3 Identify the slope and y-intercept point for the given equation and use this information to find two other points on the line and draw the graph 43. y = -2x – 5 44. 5 y =3 x + 1 Slope: Slope: y-intercept point: y-intercept point: y -8 y 8 8 4 4 -4 4 8 x -8 -4 4 -4 -4 -8 -8 8 x page 4 of 6 DAY 2 45. The length of a rectangle is 3 inches less than twice the width. If the perimeter of the rectangle is 84 inches, what are the dimensions of the rectangle? Legend: Formula: Equation: Sentence: 46. Brothers Sergio and Antonio have collect a total of 320 baseball cards. Sergio has collected 50 more than twice what Antonio has collected. How many cards has each collected? Legend: Formula: Equation: Sentence: page 5 of 6 DAY 6 Simplify each radical expression completely. 47. 75 49. 10 · 51. 48. 6 -3 10 + 6 10 1 2 300 50. 48 6 52. 50 – 18 Rationalize the denominator and simplify: 53. 5 3 54. 3 6 55. 10 2 56. 12 8 page 6 of 6

© Copyright 2021 Paperzz