**Practice Exam 1**

Exam 1 covers sections R1-R8, 1.1, 1.2, 1.3, and 1.7. The actual Exam 1 will be shorter than the practice test. The format of Exam 1 will be similar to that of the practice test.

**Part I**
** **
-- No calculators allowed. This is in case you have one of those powerful calculators TI 89 or TI 92 that can do symbolic algebra.

**The problems below seem like multiple-choice problems, but indeed they are not. You will have to show your work, no credit will be given without work. Partial credit is possible, similarly as on Quiz I.**

**1. **
Simplify

**(A)**
**(B)**
**(C)**

**2. **
Simplify

**(A) **
**(B) **
**(C) **

**3. **
Simplify

**(A) **
**(B) **
**(C) **
Can't be simplified

**4. **
Simplify

**(A) **
Can't be simplified.
**(B) **
**(C) **

**5. **
The expression

is equal to:

**(A) **
**(B) **
**(C) **
Neither (A) nor (B).

**6. **
Factor completely the expression

**(A) **
**(B) **
**(C) **

**7. **
Simplify as far as possible

**(A) **
**(B) **
**(C) **

**8. **
Simplify.

**(A) **
**(B) **
**(C) **

**9. **
Simplify

**(A) **
**(B) **
**(C) **
** **

**10. **
Find the lowest common denominator, write as one quotient, simplify

**(A) **
**(B) **
**(C) **

**11. **
Solve for
*x*

**(A) **
x = 1, x = 4
**(B) **
x = 1, x = 4, x = -4
**(C) **
x = 4 , x =-4

**12. **
What is the set of all x for which

?

**13. **
Solve for x

**14. **
Write as one quotient and simplify

**(A) **
**(B) **
**(C) **

**15. **
Assume c >0, d> 0. Simplify

**(A) **
**(B) **
**(C) **

**Part II**
-- You can use your calculators if you wish.

**16. **
What is the domain of the function

?

**17. **
For
, find and simplify if possible

**(a)**
**(b) **
**(c) **
** **

**18. **
Determine intervals on which the function
given by the graph below is

**(a) **
increasing
**(b) **
decreasing

**19. **
The function
in the graph above has

**(a) **
A relative maximum at x =______
** (b) **
A relative minimum at x = ______

**20. **
Is the function
in the graph above

**(a) **
even
**(b) **
odd
**(c) **
neither

**21. **
Is the graph given below the graph of some function? Explain.

**22. **
Below you see the graph of a function
. Write a formula and sketch the graph of the function whose graph is obtained from the graph y=g(x) by a vertical stretch by the factor 2 and horizontal shift by 2 units to the right.

**23. **
Find the slope and the y-intercept of the line given by the equation

**24. **
Find an equation of the line that passes through (0,0) and is perpendicular to the line
.

**25. **
Use your calculator to calculate the value of

`> `