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Chapter 9
Group Test
Solve each by factoring.
1. x2 + 3x = 18
2. 18x2 + 11x = 24
Solve each by completing the square. If necessary, round to the nearest hundredth.
3. x2 – 8x + 4 = 0
4. x2 + 6x = 11
Solve each using the quadratic formula.
5. x2 + 5x - 12 = 0
6. 2x2 – 5x = 9
Solve each(use the appropriate method).
7. x2 + 6x – 3 = 0
8. x2 + 9x + 2 = 0
9. 20x2 -13x = 21
10. 2x2 - 5x = 3
12. 4x2 - 3x – 7 = 0
13. Graph y = –3x2
x y
-2
-1
0
1
2
11. x2 - 4x = 11
14. Graph y = 2x2
x y
-2
-1
0
1
2
Find the x-intercepts(the roots) for each quadratic equation.
15. y = x2 – 5x + 6
16. y = 2x2 + x – 3
Graph.
17. y = x2 + 2x – 3
Solve each.
20. x2 = 36
21.
x5 = 2
22. x2 + 15 = 19
Review:
23. 5x2 + x - 6 - 7x2 + 2x
24. –52 + (4 ·7 + 3) – 6
26. (x 2 + 4x – 8) + (3x 2 - 5x – 12)
27. (3x 2 - x – 2) – (x 2 + 7x – 10)
Solve each equation for x.
x 1 x

28.
3
5
31. y =
2
x–5
3
29.
1
x  10  6
5
32. 2x + 5y = 10
25. –6(2x – 7)
30. 8(3x + 5) = 16
33. x – 3y = 12
34. Write the equation for the line with slope of 4 that passes through the point (3, 5).
35. Write the equation of the line that contains the point (2, 5) and is parallel to the line
y = 2x + 1.
36. Write the equation of the line that contains the point (9, 4) and is perpendicular
y = -3x + 5.
Solve each system.
37. 2x + 3y = 25
y = 4x – 1
38. 7x + 3y = 22
5x – 6y = -25
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