Name: ________________________ Class: ___________________ Date: __________
Algebra II Honors Test Review 8.1--8.3
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Graph the logarithmic equation.
1. y = log 5 (x − 2)
a.
b.
c.
d.
Short Answer
Graph the exponential function.
2. y = 4 x
1
ID: A
Name: ________________________
3. Graph y = 7 (6)
x+2
ID: A
+ 1.
Graph the function. Identify the horizontal asymptote.
x
ÁÊ 1 ˜ˆ
4. y = 7 ÁÁÁÁ ˜˜˜˜
Ë4¯
5. An initial population of 895 quail increases at an annual rate of 7%. Write an exponential function to model
the quail population.
6. Write an exponential function y = ab x for a graph that includes (1, 15) and (0, 6).
7. Find the annual percent increase or decrease that y = 0.35(2.3) x models.
8. For an annual rate of change of –31%, find the corresponding growth or decay factor.
2
Name: ________________________
ID: A
9. The half-life of a certain radioactive material is 85 days. An initial amount of the material has a mass of 801
kg. Write an exponential function that models the decay of this material. Find how much radioactive material
remains after 10 days. Round your answer to the nearest thousandth.
10. Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you
have in the account after 4 years?
Write the equation in logarithmic form.
11. 6 4 = 1, 296
4
12. 125 3 = 625
Evaluate the logarithm.
13. log 5
1
625
3
Name: ________________________
ID: A
14. log3 243
15. The pH of a juice drink is 2.6. Find the concentration of hydrogen ions in the drink.
16. Write the equation log 32 8 =
3
in exponential form.
5
Graph the logarithmic equation.
17. y = log 5 x
18. y = log(x + 1) − 7
4
ID: A
Algebra II Honors Test Review 8.1--8.3
Answer Section
MULTIPLE CHOICE
1. A
SHORT ANSWER
2.
3.
1
ID: A
4.
5.
6.
7.
8.
asymptote: x = 0
f(x) = 895(1.07) x
y = 6(2.5) x
130% increase
0.69
1
ÊÁ 1 ˆ˜ 85 x
9. y = 801 ÁÁÁÁ ˜˜˜˜
; 738.273 kg
Ë2¯
10. $1,923.23
11. log 6 1, 296 = 4
12. log 125 625 =
4
3
13. –4
14. 5
15. 2.5 × 10 −3
3
16. 32 5 = 8
17.
2
ID: A
18.
3