Download Chapter 1-2 Test Review

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Chapters 1 and 2 Test Review (Also some sequence and series)
1. Solve and graph the inequality:
3  2x  3  5x  9
2. Solve: 4  2 3x  1  18
3.
4. Find the sum of the sequence
5.
6. Evaluate  x 2  3 x  11 when x = -6
1 + 3 + 5 + …. + 13
7. Solve the inequality and graph the solution: 7  3 4w  7  4
8. Solve and graph the inequality: 10  x  3  5  3(2  x)
9. Evaluate the expression:
54  33  (8  3)2
10. Write an explicit rule for the nth term of this arithmetic sequence.
10, 6, 2, -2, …..
11. Write an equation of the line that passes through the point (-4, -1) and perpendicular to the
line y = 6x – 6.
12. Solve for m: 4  (2m  4)  3m 
6  2m
2
13. Solve and graph the inequality 2 x  5  2  ( x  9)
9
14. F  C  32 solve for C
5
15. Solve and graph: 2 2 x 1  4  8
16. State the property illustrated:
a. 7( x)  7( y )  7( x  y ) __________________
b. (2x)y=y(2x) _______________________
c.
If 2=y then y=2 ______________________
d. 4z+-4z=0 ______________________
17. Find the 2 geometric means between 12 and
1
.
18
18.
3
 ( 2)
n 1
n 1
19. What is the x-intercept and y-intercept of the function -2x – 3y = 3 ?
20. Solve: 2  2 x  1  9
21. Justify each step in solving the equation below.
4  2y
y
 10 
8  3y
Given
2
4  2y
y
 18  3 y
2
2 y  4  2 y  36  6 y
4 y  4

36  6 y
4
 36  10 y
40

10 y
4

y
y

4
22. Select all of the following that are solutions to 2 x  4  10
a. -7
23. Evaluate
b. -2
c. 0
d. 2
20
 2n  3
n 1
24. Given an  3  2 
n 1
. Find: a7
25. Write the explicit formula when a1 = 12 and r = -0.3
e. 7
26. The range of the function is g(x) = -2(3-x) + x is the set {-12,-9, 0, 3, 6}. What is the domain of
this function?
27. Given the points: (-3, 3) and (-9, 5). Write an equation of a line that passes through the
points
28. Assuming this represents a linear relationship:
a) Find the Line of Best Fit for the data of students who qualify for free/reduced lunch.
Note: Data is in millions.
1990
2000
2008
24.2
27.3
31
b) Using this equation, how many students would you expect to qualify in year 2010?
29. Given
y
a.
b.
c.
d.
e.
1
x  2 1
3
Determine the direction: Up or Down
What is the vertex? ____________
What is the domain. __________
What is the range?___________
Graph
y  x 4
30. Given:
a. Determine the direction: Up or Down
b. What is the vertex? ____________
c What is the domain?. __________
d. What is the range?__________
d. Graph:
31. Write an equation of a line that passes through (-3, 0) and (-3, 5).
2
3, 1, 2
32. What is the range of the function f ( x)   x  x  1 if the domain is 

33. In the given problem f(x) is drawn. Describe and draw the following transformations:
a) f(x)+2
b. f(x-2)+1