Download Final Part 1

# _____
Name: ________________________
Math 11a -- Spring 2000
Final – Part I
Instructions: Put you name and number at the top of the page in the blanks provided.
Show all of your work clearly. You may use the back of the page to show extra work, as
long as you label it clearly. This is a test of algebra skills, and therefore all word
problems will receive no credit unless there is an algebra equation, which yields the
correct answer, and the equation is backed by defined variables for all unknowns! You
may not use a calculator. Good luck!
11  (-9) + 6|2  8|
2 + 3  4
1. Simplify
2x2  y + z
2. Evaluate
3. Add/Subtract/Multiply or Divide
a) 7  21
8
32
b)
3
20
c) 17

6
125
3
4
+ 56
2
25
when x = 3, y = -6, and z = -9
d) (-8 ¾)  2
4. Translate the following inequality into symbols. The quotient of nine and two is
greater than negative five.
5. Simplify
15
-6  (-6)
6. Simplify
4m  9n  3(2m  n)
7. Solve for y
2y  5x = 7
8. Solve for t
5t  3  t = 3(t + 4)  15
9. Solve and graph the linear inequality in one variable.
-3 < 1  4x  5
10. Simplify
-42  40
11. Simplify
| x2y3 | -2
| x3y -4 |
12. Write each number in standard form
a) 1.5 x 104
b) 6.23 x 10-3
13. Write each in scientific notation
a) 563,000
b) 0.0000863
14. Use scientific notation to multiply and then write the answer in correct scientific
notation.
(3 x 10 9)(5 x 10 -7)
15. Multiply
(x  1)(x + 1)(x + 3)
16. Expand
(2a + b)2
17. Factor
x2 + x + 2
New Material
18. Find the root
3
___
27
19. Find the principle root
20. Find the principle root
____
 16x8
4
________
 45x2y2
4x6
______
 160
8
21. Find the principle root & simplify
22. Rationalize and simplify
(The radical is over the entire fraction)
__
2
4 + 2
23. Solve using the square root principle
(x  11)2 = 49
24. Solve by completing the square
2y2 + y  1 = 0
25. Use the quadratic formula to solve
7x2  3x + 1 = 0
26. Use the quadratic formula to solve
2x2 + x  1 = 0
27. Use the quadratic formulas to solve
x2 + 3x = 1