SOL Review
Name:_______________________
1. To solve n2 – 8n = 33 by completing the square,
what would you add to both sides?
2. Given the following steps in completing the
square, determine the value of A.
A. -33
1. y2 + 10 y = 3
2. y2 + 10y + A2 = 3 + A2
3. (y + A)2 = 3 + A2
B. 16
C. 8
D. 4
3. Solve 4x2 – 3x = 3 for x.
3
A. 0, 4
B.
−3±√38
8
4. One solution found by using the quadratic
formula to x2 – 2x – 1 = 0 is:
C. 3, -4
D.
5. Solve: 2x2 – 75 = 0
B. 4
8
A. 1 - √2
B. 1 + √8
C. 1
D. i
6. Given the formula h = vt – 5t2, find the solution
to the nearest 0.01 sec. If an object is shot straight up
from the earth at 100 m/sec, when will it be 200 m
above the earth?
5. Solve: √𝑦 − 3 = 𝑦 − 5
A. 7, 4
3±√57
A. 21.8 sec
B. 2.3 sec and 17.7 sec
C. 1.8 sec, 21.8 sec
D. -2.5 sec
8. Solve: 4√𝑦 + 2 = 8
C. 7
D. 2
A. 6
B. 2
C. 8
D. 4
10. i2 + i2 =
9. Solve: 3√𝑦 = 2√2𝑦 + 4
A. 8
B. 16
C. -4
D. -8
A. -2
B. 2
C. 2i
11. Simplify: (√−25 + 9) − ( 5 − 2√−36)
12. Simplify: 3√5(2√5 − 3√−10 )
13. Mulitply: (3 + 5i)(3 – 5i)
14. Simplify: (√−16 + 2) + ( 3𝑖 − 5)
15. Simplify:
A. 0
17. Simplify:
A.
2
3𝑖
𝑖+1
16. Simplify: 𝑖 15
5𝑖
B.
−5−5𝑖
C.
25
1−𝑖
D. 2i
5
4
A. -1
B. 1
C. i
D. –i
18. Simplify: (2i)7
6𝑖
B.
D. -2i
2𝑖
3
C.
−2𝑖
3
D.
2
3
A. -128i
B. -14i
C. 14i
D. -2i