Download review for quarterly 3

Honors Algebra 2 - Quarterly 3 Review
3
3
1.Solve the equation √11𝑥 = 3 √𝑥 + 2
3. Write the expression
necessary.
2. Solve the equation
.
in radical form, and simplify. Round to the nearest whole number if
4. Write the following with rational exponents and simplify if possible.
a.) √64
3
9
b.) √7
5
c.) √5
5. Write a recursive rule for the sequence and find the first 5 terms of the sequence.
an = 4(3 )n – 1
6. A sequence is: 2, 6, 18, 54,... Write an explicit rule for the number of reports in the nth week?
7. Sara collects rare coins. The first year she collects 15 coins. Her collection grows 8% more each
year. How many coins does Sara have altogether after 20 years?
8. Tia invested $4000 investment at an annual interest rate of 3.5% compounded quarterly. How
much money would be in the account for 15 years?
9. Write an exponential function to model: if the bald eagle population is 625 in the U.S. in 2005 and
is decreasing at an annual rate of 4%. Then estimate the value of the function after 10 years. Round
to the nearest whole number.
10. Create an exponential model from the table below.
Months
1
2
3
4
Bird
Population
63
226
907
2,826
11. Tell which type of function is shown in the table below.
x
y
3
36
4
39
5
44
6
51
7
60
8
71
10
84
12. Write the logarithmic function for the graph shown below if the parent function was y = log 5x.
13. What is the exponential form of
?
14.Which is the logarithmic form of
?
15. Express
16. Evaluate
18. Solve
as a single logarithm. Simplify, if possible.
.
17.
Evaluate
for x.
19.
Solve
.
for x.
20. Find the values of the three trigonometric functions for the following right triangle.
14
48

c
Sinθ=
21. Draw an angle with
Cosθ=
Tanθ=
in standard position.
22. Find the measures of a positive angle and a negative angle that are coterminal with
.
23. Find the measure of the reference angle for
24. Convert
.
from radians to degrees.
25. For the following functions, name the parent function, list the transformation(s), graph the parent
and the new function, state the domain and range of the new function.
3
A.) 𝑦 = √𝑥 + 2 − 4
B.) 𝑦 = 2(3)𝑥+2 + 3
C.) 𝑦 = 2√𝑥 + 1 − 2