Name _______________________________________
Algebra II
Due : April 23, 2010
Final Review Quiz 2
Answer the following questions on looseleaf. Show all work. Each question will be worth 2
points. Late papers will not be accepted. Questions with no work will receive a zero. If you use
more than one piece of paper make sure you staple it together before handing it in. Doing your
work in your calculator does not count as you doing the work.
1. Solve: |2x + 3| < x + 6 (Remember to graph answer on a number line as well as give the
algebraic solution.
2. Solve the following quadratic- linear system algebraically.
y = x2 – x – 6
y = 2x – 2
3. The roots of the equation 2 x 2  5x  k  0 will be imaginary when k =?
integral value)
(Not the
1
log x  (3 log y  2 log z ) as a single logarithm.
2
5. Find the solution set for the inequality x 2  2 x  15  0 . (Remember to graph your
answer on a number line as well as giving the algebraic solution.)
4. Express
6. Simplify and express in a + bi form:
3  2i
.
2  3i
7. Solve the following by completing the square. Leave your answer in simplest radical
form/ a + bi form
x2 – 8x + 24 = 0
8. Using the formulas (you must write the formulas for credit) find a) the sum of the roots
and b) the product of the roots of 4x2 + x – 3 = 0
9. Solve and check:
10. Simplify: