Chapter 7 Mid-Chapter Test

NAME

DATE

7

PERIOD

Chapter 7 Mid-Chapter Test

SCORE

(Lessons 7-1 through 7-4)

Part I 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 shown.

6

A D = {x | x > 0}, R = {all real numbers}

y

4

B D = {all real numbers}, R = {y | y < 0} D D = {x | x > 0}, R = {y | y > 0}

-4

-2

2

O

4x

1.

-2

2. Solve 42x = 8x + 4. F 2

G 6

H 12

J 24

2.

3. Write the equation 43 = 64 in logarithmic form. A log3 4 = 64

C log64 3 = 4

B log4 64 = 3

D log4 3 = 64

3.

4. Evaluate log4 32. 5 F −

G 8

2

H 3

2 J −

C {x|x ≥ 0}

D

4.

5

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

5. Solve log3 (7x - 3) ≥ log3 (5x). A

{x|x ≥ −32 }

B

{x|x > −37 }

{x|x ≥ −23 }

5.

6. Write the equation 54 = 625 in logarithmic form. F log4 625 = 5

H log5 625 = 4

G log4 5 = 625

J log5 4 = 625

6.

7. Write the equation log7 49 = 2 in exponential form. A 72 = 49

C 492 = 7

B 497 = 2

D 27 = 49

7.

8. Solve log5 (2x – 1) > log5 (4x). F G

{x|x < −12 } {x|x < - −12 }

H

{x|x > - −12 }

J no solution

8.

Part II 9. Write an exponential function whose graph passes through the points (0, -3) and (4, -48). 10. Write log −1 m = -2 in exponential form.

9.

10.

5

Chapter 7

65

Glencoe Algebra 2

Assessment

2

C D = {all real numbers}, R = {y | y > 0}