Raise to the power or find the root. Write with only positive exponents.
1. √343
2. √x
60 4
3. (
1
64
)
1
3
Rationalize the denominator.
4. √
81
y

5.
4−√x
4+√x

6.
√ab 3
√ab
3
3

Perform the indicated operations.
7. √5x − 3√20x

8. √3(√9 − √2)

9. (√3 − 2)(√2 + 3)
Solve.
10. x = √x + 2 − 2

11. √x
2 − 7 − 3 = 0

12. √x + 3
3 = √2x − 1
3

Number and type your answers on a separate google doc or number and write
your answers on paper, then post to the assignment for 1 percentage point on
your grade in FOCUS for each correct answer. Do as many as you would like.

Perform the indicated operation and simplify. Write the result in the form a + bi.
13. (12 − 5i) − (11 − 2i)

14. (4 + 2i)
2

15.
1−4i
1+i

Solve each equation
16. 2x
2 − 2x = 7

17. (x + 1)
2 = 13

18. x
2 − x + 7 = 0

19. x
2 − 5x + 2 = 0

20. 7x
2 + 7x + 1 = 0

21. x
2 − 3x = −5

22.
4
x+2
+
2x
x−2
=
5
x
2−4

23. x
5 − 3x
4 = x − 3

24. x
4 − 2 = x
2

Number and type your answers on a separate google doc or number and write
your answers on paper, then post to the assignment for 1 percentage point on
your grade in FOCUS for each correct answer. Do as many as you would like.

25. (x + 2)

2 − 8(x + 2) + 15 = 0

Solve by completing the square
26. x
2 − 8x = −2

27. 2x
2 + 14 = 4x

Solve each inequality for x. Write the solution set in interval notation.
28. 2x
2 − 7x < 15

29.
5
x+3
≥ 1

30.
6x−12
x
2−9
< 0