Final Review. 1. Jon paid 129.95 for 3 DVD’s plus shipping and handling. If the price of each DVD...
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Transcript of Final Review. 1. Jon paid 129.95 for 3 DVD’s plus shipping and handling. If the price of each DVD...
![Page 1: 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?](https://reader035.fdocuments.in/reader035/viewer/2022062722/56649f315503460f94c4c0a7/html5/thumbnails/1.jpg)
Final Review
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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?
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2. What is the solution to the equation:
3(2x – 6) = 4(x + 4)
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3. What is the solution to:
5 – 3x > -13
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4. Use the distributive property to simplify:
3x(x2 – 8)
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5. What is the slope of the line passing through the points (-5, 3) and (-4, -7)?
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X 2 4 6 8 10Y 9 17 25 33 41
6. Which of the following is a function rule for the table shown below?(A)y = 2.5x + 5 (B) y = 3.75x + 2.5
(C) y = 4x + 1 (D) y = 5x
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7. Solve the inequality
|2x + 6| < 10
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8. Solve the system of equations: 2x + 3y = 13 and y = 2x – 1
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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.
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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?
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11. Evaluate |-3f + |6g| for f = -3 and g = -5.
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12. Which of the measures of central tendency is most affected if a data item is an outlier?
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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?
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14. Find the next number in the sequence: 1, 4, 9, 16, 25, 36, 49, …..
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15. Find the product: (2x3y2)(-6x4y3)
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16.Factor: x2 – 14x + 45
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17. Simplify:
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18. Simplify:
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19. Solve the equation: x2 – 81 = 0 by factoring.
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20. Solve the system of equations: 2x + 5y = 3 and 3x + 10y = -3
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21. What is the domain of the relation (1, 2), (3, 4), (5, 6), (7, 8)?
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22. Solve the system of equations: 3x – 7y = 5 and 9y = 5x + 5
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23. Write the equation of the line of best fit. (See Standards Review Test 3, #29 or #30)
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24. Write the phrase “five times the quantity of two times a number minus 11” as an algebraic expression.
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25. Write the numbers listed in order from least to greatest:
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26. Simplify:
3(2x + 5) – 4(-2 + x)
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27. What is the value of the proportion?
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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?
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29. What is the solution of the equation?
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30. Is the ordered pair (3, -1) a solution to the equation 5x + 2y = 13?
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31. Is the set of ordered pairs a function? Why or why not?
(4, 5), (3, 2), (2, 0), (1, 1), (1, -1)
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32. What is the equation of the line that passes through the points (5, -2) and (4, 0) in slope-intercept form?
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33. What is the equation of the horizontal line that passes through the point (4, -6)?
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34. Solve:
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35. Solve: -3 < 6x – 15 < 27
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36.Simplify: (4x2 + 5x – 11) + (8x2 – 7x – 3)
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37.Simplify: (3x2 – 2x + 5) – (4x2 – 11x + 2)
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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.
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39. Factor the expression: 14x4 – 28x3
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40.Factor the expression: x2 - 81
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41. Graph the equations below.A.
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4x – 8y = -12
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x = -3
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42. Graph the following inequalitiesA. x < 5
B. x > - 3
C. x < 2 and x > 5
D. x < -3 or x > 6
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