Name ________________________________________
Algebra II – Pd_____
Due: April 30, 2010
Take Home Review Quiz 3
Answer the following questions on looseleaf (9 and 10 must be on graph paper). 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) Find the solution set for the inequality x 2  2 x  15  0 .
(1) x < -5 or x > 3
(2) x < -3 or x > 5
(3) 5  x  3
2  3i
.
4  5i
7 22
 i
(2)
41 41
(4) 3  x  5
2) Simplify and express in a + bi form:
(1)
7 22
 i
41 41
3) Find the domain of f ( x )  x  9 .
(1) {x  -9}
(2) {x < -9}
(3)
1 2
 i
3 9
(4)
(3) {x  -9}
23 2
 i
41 41
(4) {x > -9}
4) If f ( x)  x 2  3x and g( x)  3x find f ( g (3)) .
t 2  25
5) Reduce the algebraic fraction to lowest terms: 2
. (you must show all factoring steps)
2t  9t  5
6) Solve and check:
x 8  4  7.
1 x

7) Simplify the complex fraction: 2 x 2
5
x
8) Solve the equation for x, show all work: sin(4 x  8) 0  cos(2 x  30) 0
9) Graphically add (-2 + 4i) and (4 + 3i) – This must be done on graph paper. Remember
the axis are labeled as a and bi not x and y
10) The table below represents data gathered by a research company. – This entire question
must be done on graph paper.
a) Graph the scatter plot of the given information.
b) Find the linear equation of best fit for the given data. Round decimals to two places.
c) Find the correlation coefficient correct to four decimal places.
d) Use the equation found in part b, with the rounded values, to estimate the value of y
when x = 15.
x
y
3
4
5
6
7
32
9
55
11
83