Adv Algebra 2
Final Review 1
Name: ___________________________
1. Write an equation of the line in slope-intercept form of the line parallel to –
Graph the line.
2. Solve
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and passes through (-9, 5).
. Graph the solution on a number line.
2x -3y = 6
3. Solve the system:
6x – 9y = 9
4. a. Write in vertex form then graph
b. State the domain and range of your graph.
c. Graph
5. Solve by factoring:
6. The path of a soccer ball is modeled by the function ( )
the horizontal distance that the ball travels in meters.
a. What is the maximum height that the ball reaches?
b. Find h(17).
c. What does 17 and h(17) represent in part b?
, where h is the height in meters and x is
7. Given: f(x) = 3x2 – x
g(x) = 2x +10
f ( g(4) )
Domain:________
Range: ________
2
8. Given the function: f(x) = 2x - 4x+6 write a new function h(x) according to the following transformations:
a. Find g(x) by performing a horizontal compression by a factor of on f(x). Simplify your answer
before moving on.
b. Find h(x) by performing a horizontal translation 3 units to the right on g(x). Simplify your answer
before moving on.
c. Find k(x) by performing a Reflection across the y-axis on h(x). Simplify your answer.
9. Solve for x and graph, put in interval notation:
a)
3 2x  6  5  7
b)
2
x  1  7 or
3
x  12
5
4
10. A rock is tossed in the air from ground level. It’s height, h(t), in feet above the ground after t seconds is modeled by the
function h(t) = -16t2 + 80t +8. How long before the rock hits the ground?
Directions: Tell whether each equation has 2 real ,1 real or 2 imaginary roots. Then say how many x-intercepts it will have.
You do not have to actually find them.(Show work)
11) 3x2 – 2x + 7 = 0
12) 8x2 –8x +2 = 0
# roots__________________
# roots_________________
# intercepts ______________
# intercepts______________
13. Expand (x – 3y)3
14. Divide (6y2 + 13y – 8)
(2y – 1) using long division
15. Is x-1 a factor of (x3 – 6x2 + 1)?
16. Factor: x3 – x2 -16x + 16
17. Evaluate p(x)= 2x5 – 9x3 +4x - 2 for P(3) using synthetic substitution.
18. Give an example of a set of ordered pairs that is a relation but not a function. Explain why it is not a function.
19. Graph the interval (,5]or[7,10)
Write each in a + bi form
20.
21. 4  6i 
 270
2
22.

23. Find 6  7i
24. Solve: 3x 4  6 x2  24  0
3
25. Factor: 27 x  8  0
26. Solve by factoring
=0
Find the Domain and yRange for each of the following
(–3, 4)
27)
5
4
3
2
(–6, 1)
1
(8, 0)
–9 –8 –7 –6 –5 –4 –3 –2 –1
–1
1 2 3 4 5 6 7 8 9
–2
–3
–4
(2, –5)
–5
(2, –5)
Put answer in Interval Notation!!!
Domain:________
Range:__________
x

 18  i 25
or