Download STAR Review Questions

STAR Review Questions
DO NOT WRITE ON THIS WORKSHEET. SHOW ALL WORK ON ANOTHER SHEET OF PAPER. Fold paper
vertically. Work vertically down left column, continue down right column. Box your answers.
NO CALCULATORS OF ANY KIND!!
1.
Solve: 5  2 x  13
2.
Solve:
3.
Solve: x  5  12
4.
Solve:
6.
Solve:
x  2y  z  3
5.
Solve: x  y  2 z  9
2x  3y  z  0
7.
Solve: x 2  6 x  5  8
12  x  19
2x  8 y  8
3 x  2 y  16
x  2y  4
x  3y  1
8. State the intercepts for y  12 x 2  5 x  2
(solution can be complex)
9.
Describe translations of y   x  32  2
10. Graph: y  2 x  12  1
to the graph y   x  22  2
11. Calculate the vertex of f  x   x 2  6 x  5
12. Solve by completing the square
2 x 2  12 x  4  0
Is it a min or max?
13.
Evaluate i 4 and explain why.
14. Simplify:
1  5i   6  2i 
15.
Simplify: 1  i   7  2i 
16.
Simplify:
3  4i
1 i
17.
Simplify:
18.
Simplify:
xy 9
3y
2

7y
21x
5
3x 2  2x 2  4 x  3
19.
Factor: 3 x 4  24 x
20.
2x  3 4x3  2x 2  6x 1
21.
Factor completely: 40 x 3  5
22.
Factor completely: 16 x 4  81
24.
Simplify: 3 8 x 6 y 2 z  x 3 27 x 3 y 2 z
26.
Solve: log x  2
23.


Simplify: 



1

4
 4
x 3 y5 

1 
16 z 2 
1
25.
f  x   3  x  2
g x   
x2
 1
Find f(g(x)) and g(f(x))
27.
f  x   4  x find f 1  x 
28.
1
x
27
4
Evaluate: log 4
64
4 x  y   2 x  2 y
Simplify:

10
5x 2 y3
Solve: log 3
29.
Put in exponential form: log x y  2
30.
31.
Simplify: log 21 5  log 21 4  log 21 2
32.
33.
Simplify:
5 x 2  20
x2  6x  8

25 x 2
x 2  10 x  24
34.
35.
Simplify:
5
3x  1

2
3 x  12 x  x  12
36. Solve :
37.
Write in standard form and name the conic.
38.
 9 x 2  16 y 2  54 x  64 y  161  0
Simplify:
x 2  25
x 3  125
3x
6
 1
x2
x2
Write in standard form and give the conic parts.
y 2  2 y  16 x  31  0
40.
Find S30 for the series 32 + 24 + 16 + 8 + 0 +…
42.
Find S8 for the series 1 – 2 + 4 – 8 +…
44.
Expand and Simplify
39.
Write the nth term for the sequence 5,-2,-9,-16,-23…
41.
Write the nth term for the sequence 4, 2,1, ....
43.
Find the sum:
45.
You sold frozen yogurt at a county fair, you made $565 and used 250 cones. A single scoop cost $2 and a double
scoop cost $2.50. How many of each type of cone did you sell?
46.
There are two numbers with the following properties.
1) The second number is 3 more than the first number
2) The product of the two numbers is 9 more than their sum.
What are the 2 numbers?
47.
Two consecutive positive integers have the property that one integer times twice the other equals 612. What is the
sum of the two integers.
1
2

4
3 
3
n0  

n
2  x 6
t
48.
 1  300
A certain radioactive element decays over time according to the equation y  A 
where A=the number of
2
grams present initially and t=time in years. If 1000 grams were present initially, how many grams will remain
after 900 years?
49.
In 1997, the population of a small town was 700. If the annual rate of increase is about 0.8%, give the equation
which expresses the population after 5 years.
50.
There are 12 candidates in a city election. The winner will be the mayor, and the runner-up will be the vice-mayor.
How many different combinations of mayor and vice mayor are possible?
51.
A train is made up of a locomotive, 7 different cars, and a caboose. If the locomotive must be first, and the caboose
must be last, how many different ways can the train be ordered?