NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 7 Final Exam Review
SCORE ___________
Write the letter for the correct answer in the blank at the right of each question.
1. Find the domain and range of the function whose
graph is shown.
A D = {x | x > 0}; R = {y | y > 0}
B D = {all real numbers}; R = {y | y > 0}
C D = {x | x > 0}; R = {all real numbers}
D D = {all real numbers}; R = {y | y < 0}
1. _____B______
2. Which function represents exponential growth?
1 𝑥
G y = 4𝑥 4
F y = 9(3)
1 𝑥
H y = 12(5)
J y = 10(3)𝑥
2. _____J______
3. The graph of which exponential function passes through the points (0, 4) and (1, 24)?
A y = 4(6)𝑥
B y = 3(8)𝑥
C y = 2(2)𝑥
D y = 10(3)𝑥
3. _____A______
4. Solve 8𝑥 + 2 = 322𝑥 + 4 .
F –2
G –1
H0
J1
4. _____F______
5. Solve 23𝑚−4 > 4.
A {x | m < 0}
C {x | m > 2}
D {𝑥 | 𝑚 > 3}
5. _____C______
J log 4 64 = 3
6. _____J______
B {x | m > 0}
6. Write the equation 43 = 64 in logarithmic form.
F log 4 3 = 64
G log 3 4 = 64
H log 64 4 = 3
5
7. Write the equation log12 144 = 2 in exponential form.
A 1442 = 12
B 122 = 144
C 212 = 144
D 14412 = 2
7. _____B______
8. Evaluate log 2 8.
F3
G4
H 16
J 64
8. _____F______
9. Solve log 3 𝑛 = 2.
A6
B5
C8
D9
9. _____D______
H {x | m > 5}
J {x | m > –5}
10. Solve log 2 2m > log 2 (𝑚 + 5).
5
F {𝑥 | 𝑚 > 3}
Chapter 7
G {x | m < 5}
67
10. _____H____
Glencoe Algebra 2
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 7 Final Exam Review (continued)
11. Use log 5 2 ≈ 0.4307 to approximate the value of log 5 4.
A 0.8614
B 0.8980
C 1.3652
D 0.1855
11. ____A____
12. Solve log 6 10 + log 6 𝑥 = log 6 40.
F 180
G4
J 30
12. ____G____
13. Solve 4𝑥 = 20. Round to the nearest ten-thousandth.
A 0.4628
B 1.5214
C 0.6990
D 2.1610
13. ____D____
14. Solve 3𝑥 ≥ 21. Round to the nearest ten-thousandth.
F {x | x ≥ 0.8451} G {x | x ≥ 2.7712}
H {x | x ≥ 0.3608}
J {x | x ≥ 7.0000}
14. ____G____
H5
15. Express log 9 22 in terms of common logarithms.
22
9
B log 198
C
G 4e
log 22
log 9
log 9
D log 22
15. ____C____
H ln 4
J4
16. ____J_____
17. Solve ex > 2.7.
A {x | x < 0.9933} B {x | x > 0.9933}
C {x | x > 1.0668}
D {x | x < 1.0668}
17. ____B___
18. Solve ln 3𝑥 = 1.
F 20.0855
H 0.9061
J 8.1548
18. ____H____
A log
16. Evaluate 𝑒 ln 4 .
F 𝑒4
G 0.3333
19. AUTOMOBILES Lydia bought a car for $20,000. It is expected to depreciate at a continuous
rate. What will be the value of the car in 2 years? Use k = 0.105 and round to the nearest dollar.
A $16,212
B $16,012
C $19,867
D $18,567
19. ____A____
20. ART Martin bought a painting for $5000. It is expected to appreciate at a continuous rate of 4%.
How much will the painting be worth in 6 years? Round to the nearest cent.
F $6200.00
G $5360.38
H $37,647.68
J $6356.25
20. ____J_____
B:___21______
Bonus Evaluate 3 log 2 64 + 𝑒 ln 5 . + log 1 9.
3
Chapter 7
67
Glencoe Algebra 2