ACTIVITY SHEET 2
MATH 1314
1 – 4. Simplify each expression. Write in standard form a  bi .
1.
3  7i    2  i 
2.
 4  i   1  i 
3.
2  2i  3  i 
4.
6  i 6  i 
5.
5  2i 2
6.
3i1  i 
7.
2i
3i
8.
3  2i
1 i
9 – 10. Solve each quadratic equation by using the zero-product property (factoring).
9.
(a)
x  3x  2  0
(b)
x  3x  2  24
10.
(a)
x 2  7 x  12  0
(b)
3x 2  4 x  4
11 – 14. Solve each by using the square root method. (extracting square roots)
11.
x 2  16
12.
x 2  12
13.
x  12  16
14.
x  12  12
15 – 16. Tell what must be added to the expression to complete the square.
15.
x 2  18 x
16.
x2  5x
17 – 20. Solve each quadratic equation by completing the square.
17.
x2  2x  3  0
18.
x2  6x  3  0
19.
x 2  10 x  30  0
20.
x 2  8 x  20  0
21 – 26. Solve each quadratic equation by using the quadratic formula.
21.
x2  6x  8  0
22.
x 2  8 x  16  0
23.
6x2  7 x  3  0
24.
x  2x  1  7
25.
2 x 2  3x  4  0
26.
x2  4x  5  0
27 – 30. Solve each quadratic equation in any way you wish.
27.
x 2  3x  4  0
28.
xx  3  4x  3  0
29.
25 x 2  49  0
30.
x 2  12 x  40  0
31 – 38. Find the discriminant. Then use it to predict the number and type of solutions for each equation. Tell
whether the equation can be solved by factoring or whether the quadratic formula should be used. Do not
actually solve the equation.
31.
25 x 2  70 x  49  0
32.
4 x 2  28 x  49  0
33.
x2  4 x  2  0
34.
9 x 2  12 x  1  0
35.
3x 2  5 x  2
36.
4 x2  4 x  3
37.
3x 2  10 x  15  0
38.
18 x 2  60 x  82  0
39 – 48. Solve using the quadratic formula. All solutions for these equations will be imaginary numbers.
39.
x 2  3x  6  0
40.
x 2  5 x  20  0
41.
x 2  6 x  14  0
42.
x 2  4 x  11  0
43.
9 x 2  6 x  7
44.
4 x 2  4 x  7
45.
x  3x  4  2
46.
x  2 x  3  2
47.
 x  5 x  6   2x 1 x  4
48.
3x  4 x  2   2x  5 x  5