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Final Review

Final Review. 1. Jon paid 129.95 for 3 DVD’s plus shipping and handling. If the price of each DVD was $40, what was the price of shipping and handling?. What is the solution to the equation: 3(2x – 6) = 4(x + 4). What is the solution to: 5 – 3x > -13.

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Final Review

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  1. Final Review

  2. 1. Jon paid 129.95 for 3 DVD’s plus shipping and handling. If the price of each DVD was $40, what was the price of shipping and handling?

  3. What is the solution to the equation: 3(2x – 6) = 4(x + 4)

  4. What is the solution to: 5 – 3x > -13

  5. Use the distributive property to simplify: 3x(x2– 8)

  6. 5. What is the slope of the line passing through the points (-5, 3) and (-4, -7)?

  7. Which of the following is a function rule • for the table shown below? • y = 2.5x + 5 (B) y = 3.75x + 2.5 • (C) y = 4x + 1 (D) y = 5x

  8. Solve the inequality |2x + 6| < 10

  9. 8. Solve the system of equations: 2x + 3y = 13 and y = 2x – 1

  10. 9. Two cars get an oil change at the same service center. Each customer is charged a fee x (in dollars) for an oil change plus y dollars per quart of oil used. The oil change for the care that requires 5 quarts of oil costs $22.45. The oil change for the car that requires 7 quarts of oil costs $25.45. Find the fee and cost per quart of oil.

  11. 10. The perimeter of a rectangular playing field is 260 feet. If tits length is 2 feet less than 3 times the width, what are the dimensions of the field?

  12. 11. Evaluate |-3f + |6g| for f = -3 and g = -5.

  13. 12. Which of the measures of central tendency is most affected if a data item is an outlier?

  14. 13. If you have a 6 sided number cube and a coin, what is the probability of rolling either a 1 or a 2 and flipping heads?

  15. 14. Find the next number in the sequence: 1, 4, 9, 16, 25, 36, 49, …..

  16. 15. Find the product: (2x3y2)(-6x4y3)

  17. Factor: x2– 14x + 45

  18. 17. Simplify:

  19. 18. Simplify:

  20. Solve the equation: x2– 81 = 0 by factoring.

  21. 20. Solve the system of equations: 2x + 5y = 3 and 3x + 10y = -3

  22. 21. What is the domain of the relation (1, 2), (3, 4), (5, 6), (7, 8)?

  23. 22. Solve the system of equations: 3x – 7y = 5 and 9y = 5x + 5

  24. 23. Write the equation of the line of best fit. (See Standards Review Test 3, #29 or #30)

  25. 24. Write the phrase “five times the quantity of two times a number minus 11” as an algebraic expression.

  26. 25. Write the numbers listed in order from least to greatest:

  27. Simplify: 3(2x + 5) – 4(-2 + x)

  28. 27. What is the value of the proportion?

  29. 28. Johnny sells slices of pizza at the county fair. The amount chard for a slice, s, is based on the cost of a plain slice of pizza plus an additional charge for each topping, t, as shown in the equation s = 0.75t + 2. What do the number 2 and the number 0.75 represent in the equation?

  30. 29. What is the solution of the equation?

  31. 30. Is the ordered pair (3, -1) a solution to the equation 5x + 2y = 13?

  32. Is the set of ordered pairs a function? Why or why not? (4, 5), (3, 2), (2, 0), (1, 1), (1, -1)

  33. 32. What is the equation of the line that passes through the points (5, -2) and (4, 0) in slope-intercept form?

  34. 33. What is the equation of the horizontal line that passes through the point (4, -6)?

  35. 34. Solve:

  36. Solve: -3 < 6x – 15 < 27

  37. Simplify: (4x2 + 5x – 11) + (8x2 – 7x – 3)

  38. Simplify: (3x2 – 2x + 5) – (4x2 – 11x + 2)

  39. 38. Make a box and whisker plot for the following data: 76, 80, 96, 98, 100, 98, 91, 89, 82. Identify the median, range, interquartile range, lower quartile, and upper quartile.

  40. Factor the expression: 14x4 – 28x3

  41. Factor the expression: x2- 81

  42. 41. Graph the equations below. A.

  43. 4x – 8y = -12

  44. x = -3

  45. 42. Graph the following inequalities x < 5 x > - 3 x < 2 and x > 5 D. x < -3 or x > 6

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