Name __________________________________
AIA Review
**Problems should be done without the use of a calculator when possible. Please use exact
answers (no decimal approximations)**
1. Find the equation of a line through the points (-2,5) and (4, 1)
2. Find the equation of a line that is perpendicular to the line y = 3x – 18 at the x-intercept.
3. Write the equation of a line parallel to x = 5 that passes through the point (-7, 11).
4. Sketch the graph by hand:
y   x 7
For # 5-6:Find all real solutions. Please give exact answers – no decimals.
5. x  10 x  5
2
6.
23  2( x  3)2  7
Name __________________________________
AIA Review
7. Each year, the math team holds a pi reciting competition to raise funds for the
mathletes. The profit that the club makes after buying supplies and refreshments can be
modeled by the equation P(t )  16t  800t  4000 , where t represents the ticket price
in dollars. What ticket price will generate a profit of $5000? (**Calculator ok**)
2
8. What function is represented by the graph below? (assume there are no
stretches/compressions, only translations and/or reflections)
f(x) =_______________
9. For the following parabola:
f(x) = 5x2 - 10x + 11
a)State the vertex:___________________________
b)Write in vertex form f(x) =
a( x  h)2  k : _________________________
c)Does the parabola have a minimum or a maximum? ______________
d)What is the maximum/minimum value that they function attains? ____________
e)How many real roots (x- intercepts) does the parabola have? _____________
f)How many imaginary roots does the parabola have? _________________
g)Find all roots. _____________________________
Name __________________________________
AIA Review
10. Graph the piecewise function:
11. Find the following:
m AB ___________
m DC ___________
Name __________________________________
AIA Review
12.
m< A = ___________
m< FED = ______________
m< EGF = ___________
m < C = ______________
m< ABE = ___________
m< EGD = ______________
OB bisects Chord XY . The m AY = 110˚.
13. In Circle O, AB is a Diameter.
Find the m XB .
m XB =____________
Name __________________________________
AIA Review
14. Find m<BDC
m< BDC = ________________
B
F
A
E
D
C
mBEC=140°
15. Use the information shown in circle O to complete problems
m BAE
___________________
m ABE ___________________
mBD ___________________
mABE
___________________
m DAE
___________________
16. The length of the radius of Circle B (below) is 13 units.
XM = 1. Find the length of segment TU .
TU = ___________
TU  RS and
Name __________________________________
AIA Review
17.
Complex numbers: Evaluate
18.
 6  2i   3  5i  
19.
 7  4i    2  8i  
20.
 3  4i  6  2i  
Complex numbers: Simplify
21.
3  4i

6i
22.
5  7i

3i