Chapter 6 Final Exam Review(continued)

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 6 Final Exam Review

SCORE ______________

Write the letter for the correct answer in the blank at the right of each question. For Questions 1 and 2, use f(x) = x + 5 and g(x) = 2x. 1. Find (f + g)(x). A 3x + 5

Bx+5

C 2x + 10

D 2𝑥 2 + 5

1. ______________

2. Find (f ⋅ g)(x). F 2𝑥 2 + 5

G 3𝑥 2 + 10x

H 2𝑥 2 + 10x

J 2x + 10

2. ______________

D 10

3. ______________

3. If f(x) = 3x + 7 and g(x) = 2x – 5, find g[f(–3)]. A –26 B –9 C –1 4. If f(x) = 𝑥 2 and g(x) = 3x – 1 find [ g ◦ f](x). F 𝑥 2 + 3x – 1

H 9𝑥 2 – 1

G 9𝑥 2 – 6x + 1

J 3𝑥 2 – 1

4. ______________

5. Find the inverse of g(x) = –3x. A 𝑔−1 (x) = x + 1

C 𝑔−1 (x) = x – 1

B 𝑔−1 (x) = –3x – 3

D 𝑔−1 (x) = – 3x

1

5. ______________

6. Determine which pair of functions are inverse functions. F f(x) = x – 4 g(x) = x + 4

H f(x) = x – 4 g(x) = 4x – 1

G f(x) = x – 4 𝑥–4 g(x) = 4

J f(x) = 4x – 1 g(x) = 4x + 1

6. ______________

7. State the domain and range of the function graphed. A D = {x │ x > 2}, R = {y │ y > 0} B D = {x │ x < 2}, R = {y │ y > 0} C D = {x │ x ≥ 2}, R = {y │ y < 0} D D = {x │ x ≥ 2}, R = {y │ y ≥ 0}

7. ______________

8. Which inequality is graphed? F y ≤ √4𝑥 + 8 G y > √4𝑥 + 8 H y < √4𝑥 + 8 J y ≥ √4𝑥 + 8 9. Simplify √121. A 11 Chapter 6

8. ______________

B –11

D √11

C ±11

57

9. ______________ Glencoe Algebra 2

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

Chapter 6 Final Exam Review (continued) 10. Use a calculator to approximate √224 to three decimal places. F 15.0

G 14.97

H 14.966

J 14.967

10. _____________

C –1 + √5

D –1 – √5

11. _____________

H 10√3

J 7√3

12. _____________

5

13. _____________

11. Simplify (2 + √5)(3 – √5). A 1 + √5

B 1 – √5

12. Simplify √75 + √12. F 21

G √87 1

13. Write the expression 57 in radical form. 7

A √51

7

C √5

B 35 2

1

14. Simplify the expression 𝑚5 • 𝑚5 . 5

F 𝑚3

D √7

3

2

2

G 𝑚5

H 𝑚25

J 𝑚5

14. _____________

B7

C 21

D

25 3

15. _____________

Hx<2

Jx>2

16. _____________

15. Solve √3𝑥 + 4 = 5. A –7

16. Solve 2 + √5𝑥 − 1 > 5. Fx>5

G x > –2 𝑥

17. Gilda used the formula f(x) = 144 to convert square inches to square feet. Find the inverse of 𝑓 −1 (x). A 𝑓 −1 (x) = 12x

B 𝑓 −1(x) = 144x

C𝑓 −1(x) =

144 𝑥

D 𝑓 −1(x) = (12𝑥 2 )

17. _____________

H 3.14𝑥 2

J 6.28x

18. _____________

C1

D5

19. _____________

J 2−3

20. _____________

18. Find the area of a circle whose radius is 𝑥 3 . Use 3.14 for π. F 3.14𝑥 6

G 3.14𝑥 3 5

1

19. If x is a positive number, then √𝑥 ÷ 𝑥 5 = ? A 𝑥5

1

B 5x

1

20. If 28 • y = 25 , then y = ? F –2−3

G –23

1

H 23

B: _____________

Bonus If g(x) = 2x + 1, find g[g(x)].

Chapter 6

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Glencoe Algebra 2