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  Home : Math & Science : Math Study Guides : Algebra I : Review : Review Test
Review of Algebra I
  
 
Review Test
1. Which of the following is a solution set to x2 - 12 = 5x + 2?
2. Solve for y in 2y + 5 = - 3y - 10.
3. Which property is illustrated in the following:
y = 5x and 5x = 3. Thus, y = 3.
4. Meredith and Molly go shopping. Meredith buys a shirt for $10 and two pairs of pants for $10 each. She has $15 left over. Molly buys a dress for $50 and two packs of cards. If Molly started with $20 more than Meredith, and if Molly spent all her money, how much does one pack of cards cost?
5. Tobin rows 2 miles per hour faster than her opponent. If it takes Tobin 30 minutes to finish a race, and it takes her opponent 45 minutes to finish the same race, how fast does Tobin row?
6. Greg receives the following scores on his math tests: {90, 83, 78, 95}. What is the minimum score he needs on the last math test in order to get an 85 average in the class?
7. Solve for x in 3x + 2≤ - x - 2.
8. What inequality does the following graph represent?
9. Solve for y in - y + 6 < - 4y.
10. Name all the members of set A:
11. If P = {2, 3, 0, 8, 7, -1} and Q = {0, 1, 6, 8, -3, -2}, what is QP?
12. What inequality does the following graph represent?
13. Compute 3×| 4 - 5|×| 15| - | - 2|.
14. Solve for x in -4| x - 3| = - 16.
15. Solve for y in 6 - | - 3y + 1| = 8.
16. If Marsha grabs one shirt from a drawer containing 2 white shirts, 6 black shirts, and 8 striped shirts, what is the probability that she will grab a black shirt?
17. What is the probability of an event if the probability of its complement is
?
18. The mean of {5, 6x - 1, 12, and - 2} is 8. What is x?
19. The median of {2, 3, 6, x, 11, -2} is 4.5. Which of the following numbers could be a value of x?
20. The mode of {2, 8, 9, 8, 4, 4, 8, x} is 8. Which of the following could not be a value of x?
21. Which of the following ordered pairs (x, y) is a solution to xy = 3x - 9?
22. Which of the following could be a graph of y - 3 = 2x?
23. What is the x-intercept of y - 6 = 3(x + 2)?
24. What is the slope of the line that passes through (- 2, 4) and (7, 1)?
25. What is the slope of the line given by the equation 6y - 3x = 12?
26. Which equation describes the following graph?
27. What is y - 4 =
(x - 2)
in general linear form?
28. What is 4x - 3y = 8 in slope-intercept from?
29. If y varies directly as x, and y = 6 when x = 9, which of the following equations describes this variation?
30. If y varies directly as x, and y = 7 when x = 14, what is x when y = 18?
31. If y varies inversely as x, and y = 4 when x = 2, which of the following equations describes the variation?
32. Solve the following system of equations for (x, y):

x + y = 5  
2x - 3y = -5  

33. Solve the following system of equations for (x, y):

4x + y = 0  
-2x + 5y = 22  

34. Which statement is true about the system:

4y - 5x = 16  
y =
+ 4
 

35. Which of the following is an inconsistent system?
36. Simplify and rationalize the denominator:
37. Simplify and rationalize the denominator:
×
38. Simplify
.
39. Simplify (x2)(4x) + (- 6x2)3 -
.
40. Write the answer in scientific notation: 4.5×1017 - 5.6×1016
41. Write the answer in scientific notation: (3.0×105)×(1.5×10-9)
42. Write the answer in scientific notation: (7.5×10-6)÷(2.5×10-3)
43. What is the degree of the polynomial -5x6y2 +2x7 +3x2 + xyz5?
44. Simplify 5x2y(- 3x - 2xy + x2y).
45. Multiply and simplify: (4x - 3)(- 2x + 1)
46. Factor x2 - 10x - 24.
47. Solve for x in x2 + 6x + 9 = 0.
48. Solve for x in 12x2 - x - 2 = 0.
49. How many times does the graph of y = - 5x2 + 6x - 2 cross the x-axis?
50. Complete the square in the equation y = 8x2 + 8x + 1.

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