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?

2. What is the solution to the equation:

3(2x – 6) = 4(x + 4)

3. What is the solution to:

5 – 3x > -13

4. Use the distributive property to simplify:

3x(x2 – 8)

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

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

7. Solve the inequality

|2x + 6| < 10

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

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.

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?

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

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

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?

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

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

16.Factor: x2 – 14x + 45

17. Simplify:

18. Simplify:

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

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

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

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

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

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

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

26. Simplify:

3(2x + 5) – 4(-2 + x)

27. What is the value of the proportion?

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?

29. What is the solution of the equation?

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

31. Is the set of ordered pairs a function? Why or why not?

(4, 5), (3, 2), (2, 0), (1, 1), (1, -1)

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

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

34. Solve:

35. Solve: -3 < 6x – 15 < 27

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

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

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.

39. Factor the expression: 14x4 – 28x3

40.Factor the expression: x2 - 81

41. Graph the equations below.A.

4x – 8y = -12

x = -3

42. Graph the following inequalitiesA. x < 5

B. x > - 3

C. x < 2 and x > 5

D. x < -3 or x > 6