1. simplify by factoring

Type an exact answer, using radicals as needed

Solution:

2. The formula r=2 can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length L, in feet. How far will a car skid at 50 MPH?

The car will skid _125__ feet

3. subtract. Simplify by collecting like radical terms if possible.

Simplify your answer. Type an exact answer using radicals as needed.

Solution:

4. Multiply

Type an exact answer, using radicals as needed.

Solution:

5. Add. Simplify by collecting like radical terms, if possible. Assume that all expressions under radicals represent non-negative numbers.

Simplify your answer. Type an exact answer, using radicals as needed.

Solution:

6. Rewrite with rational exponents

Simplify your answer

Solution:

7. Solve

The solution is x= _120_

Simplify your answer. Type an integer or fraction. Use a comma to spate answers as needed. Type N if the solution is not a real number.

8. Mutliply

Simplify your answer. Type an exact answer, using radicals as needed.

Solution: 73

9. Multiply

Solution: 7

10. add. Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers.

Simplify your answer. Type an exact answer, using radicals as needed.

Solution:

11. Find the following. Assume that x can represent any real number. Use absolute value notation when necessary.

Solution: |x-7|

12. Divide. Then simplify by taking roots, if possible. Assume all expressions under radicals represent positive numbers.

simplify your answer. Type an exact answer, using radicals as needed.

Solution:

13. solve.

The solution is y = _58__

Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type N if the solution is not a real number.

14. simplify

Solution: -3x

15. use rational exponents to simplify

Choose the simplified expression below.

Solution: d

16. Multiply and simplify by factoring

Type an exact answer using radicals as needed.

Solution:

17. Multiply

Type an exact answer using radicals as needed.

Solution:

18. use rational exponents to write as a single radical expression

Choose the correct expression

Solution: a

19. simplify by taking roots of the numerator and the denominator

Type an exact answer, using radicals as needed

Solution:

20. what does it mean to refer to a 20-inch TV set or a 25-in TV set? Such units refer to the diagonal of the screen. A 20-in TV set also has a width of 16 inches. What is its height?

Solution: 12

21. Use the laws of exponents to simplify

Simplify your answer. Type exponential notation with rational exponents.

Solution:

22. Simplify

The solution is _16807_

Simplify your answer. Type an integer or a fraction.

23. Find the following

simplify your answer. Type N if the root is not a real number.

Solution: 5