High School Practice Problems
Useful Links
Khan Academy Algebra Practice
Mendham High School
Ixl Algebra 2
Complex Numbers Quiz
1. Solve the equation: x
2
+ 6x + 13 = 0
z= -3 ± 3i
x = -3 ± 2i
z= 1 ± 3i
x = 5 ± 2i
2. Evaluate the expression: (2 + i)(3 - 2i).
i-8
2i+2
2-8i
8-i
3. Simplify the expression: (1 + i)².
-4
1
-3
2i
4. Solve the equation: z
2
+ 4z + 8 = 0.
z = -2 ± 2i
-z = -1 ± 3i
z = -2.5 ± 4i
z = -3 ± 4i
5.Simplify the expression: 4(3i)².
-61
68
-36
60
6. Find the value of x = (i)
1000
.
1
-1
1000
-1000
7. Solve the equation: (z - 1)(z + 2i) = 0
z= 1, z= -2i
z= 5, z= 7i
z= 3, z= 2i
z= 1, z= 10i
8. Solve the equation for z, 2iz + (3-i)(3+i) = 0
-3i
4i
5i
2i
9. Solve the equation z
2
+ 2z + 2 = 0.
z = -1 ± i
-z = -1 ± 3i
z = -2.5 ± 4i
z = -3 ± 4i
10. Solve the equation z
2
+ 4z + 5 = 0.
z = -2 ± i
-z = -1 ± 4i
z = -2 ± 4i
z = -1 ± 4i
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