Algebra 2 TEST 3.1 Review
Name__________________ Per______
g  x    x 2  2 x  8 , find each of the following…
Given
Graph: show at least 3 points
1(a). the vertex
1(b). Is the vertex a maximum
or minimum?
What is the maximum or
minimum value?
1(c). the axis of symmetry
(equation)
1(d). the roots
1(e). the y -intercept
1(f) Domain:
Range::
Factor Each:
2. 5 x  15 x
3. 6 x  18 x  4
4. x  25
5.
6. 8 x  50 x
7. x  4 x  12
8. x  13 x  40
9. Hint: GCF 1st
10. 2 x  x  21
11. 6 x  17 x  5
12. 4 x  28 x  49
13. x  16 x  64
3
2
3
2
2
2
2
2
2
36 x 2  49 y 2
2 x 2  4 x  96
2
2
Find the zeroes (roots) by factoring.
14. x  2 x  15  0
15. x  8 x
16. x  7 x  12  0
17. 3x  8 x  5
18. 4 x  4 x  15
19. 9 x  16  0
2
2
2
2
2
2
8. Write the equation in standard form of a quadratic with the given roots.
20. –3 and 3
21. 4 and –7
22. –2 and –6
12. Complex Number Operations
24
23.
25. i
75
24.
30. 3i (5  4i )
29.
26. i
52
31.
13
27.
32.
5  55
33.
 4  2i    3  i  5  3i  4  5i   6  4i  6  4i 
15  18
7
3i
35.
28.
25  4
39.
2
3  4i
34.
5
i
40.
5
3i
Solve by taking the square root of both sides. SHOW ALL WORK.
41. 4 x  9  0
42. 4 x  25
2
2
43.
 x  1
2
44. (x – 3)2 = -49
 36
Algebra 2 TEST 3.1 Review ANSWERS
1,9
1 a.
2.
5 x 2 ( x  3)
7. ( x  2)( x  6)
12.
(2 x  7)(2 x  7)
5
17. x  , 1
3
22.
x  8 x  12  0
27. 10i
2
x  1 x  2, 4 d.  0,8 e. 8 f. D:  ; R: (,9]
4. ( x  5)( x  5)
3. 2(3x2 – 9x +2)
5.
(6 x  7 y )(6 x  7 y )
8. ( x  8)( x  5)
9. 2( x  6)( x  8)
10. (2x+7)(x-3)
13. ( x  8)( x  8)
14. x  3, 5
15. x  0, 8
b. max 9 c.
18. x  
23.
3 5
,
2 2
2i 6
32.
5  37i
5 11
33. 52
37.
2 10
38. 5
42. 
5
2
28.
43.
7, 5
19. x  
24.
4
3
5i 3
29.
3i 30
34.  5i
6  8i
25
44. 3  7i
39.
20. x  9  0
2
25. 1
30.
12  15i
7i
3
15  5i
40.
10
35. 
6.
2 x(2 x  5)(2 x  5)
11. (3 x  1)(2 x  5)
16. x  3, 4
21.
x 2  3x  28  0
26. i
31. 7  i
36.
73
41. 
3i
2