Algebra I CP Final Exam Review 2019 Chapter 8: Exponents

Algebra I CP ¨C Final Exam Review 2019

Chapter 8: Exponents

1. Write

? x?

5

3

in rational exponent notation.

7

2. Write y 2 in radical notation.

Simplify the expression.

3.

?1

4. 121 2

3

100 2

5.

2

216 3

1

1

2

6. 27 3

7. 6 ? 6

3

2

8.

8

1

2

1

86

Simplify.

9.

? 3 x y ? ? ?5 x y ?

3 2

10. (2 y 2 z 3 )4

4 6

?

12. ?? 5a 2b ? ?3a 4 ?

13. 2ab 2c3

15. ?3 p 3 ? ? 6 p ? ?? 2 p 2 ?

2

3

Algebra 1 CP Final Exam Review 2018

?

11. a 3 ? a 6

14. ?? x 4 ??

? ?

4

16. ?5m3 ? ? ?6m ?

3

2

17.

3

?12 y ?2 ? 7 x 2 y ? 8 y 2 ? ?11y ?x 2

Page 1 of 15

18. ?x 4 ??x 3 ?

21.

24.

27.

19. y ?3 ? y 3

10 5

10a b

2a11b 2

15 x 3 y 2 z 4

10 x 4 y 4 z 2

4

20.

64 x y z

16 x ? 2 yz 3

25.

3y3

5

? 10 x 7

? ??

8

? 9y

x3

? 3x 2 5 x ?

?

?

23. ? 5 x ?

?

?

?3 ?1

22.

x5

?

??

?

2

0

3

? 3x 5 ? 5

? ? 4

26. ??

2 ?

10

y

?

? x

? 3a ?4 b 7

21a 2 b 7 c ?5

28. Identify each picture as growth or decay. Then identify the graph of y ? 3? 2 x .

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Algebra 1 CP Final Exam Review 2018

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Write a rule for the following functions.

29.

30.

Circle whether the function represents exponential growth or decay. Graph the function.

Identify its domain and range.

x

?1?

31. y ? 2 ? ? ? Growth/Decay

?5?

x

y

-2

-1

0

32. y ? ?3 ? 6 x

1

x

y

2

-2

Growth/Decay

-1

0

1

2

D: _________

D: _________

R: _________

R: _________

CHAPTER 8 ANSWERS

1.

x

5

3

2.

7

1

7. 6 2 ? 36

8. 8 3 ? 2

13. 16a b c

4

? y ? or ¡Ì?

8

12

19. 1

25. 20 x

14

9.

? 100 ? =1000

3

? 15 x 7 y 8

10.

4.

1

?

121

16 y 8 z 12

1

11

5.

11. a

14. x

12

15.

17 p 6 ? 6 p

16. 125m ? 36m

20. x

2

21.

5b 3

a

22.

11

5

27. ? c

200 y 6

7a 6

26. 27 x

27 y 13

3.

7

31. Decay, D: all reals, R: y > 0

9

3

?

2

216 = 36

3

136 y 2 ? 18 x 2 y

23. 1

18. x

24.

-2

-1

0

1

2

y

50

10

2

0.4

.08

Algebra 1 CP Final Exam Review 2018

7

3z 2

2 xy 2

30. y ? 1 ? ?? 1 ??

29. y ? ?1? ?4?x

?5?

32. Growth, D: all reals, R: y < 0

x

27 = 3

6

17.

2

6.

12. ? 15a b

9

4x 6

y4z4

28. G, D, G, G

?

x

-2

-1

y

- .083-- -.5

0

1

2

-3 - -18 - -108

Page 3 of 15

x

Chapter 9: Factoring

Use this polynomial to answer #1:

3x ? 4 x 5 ? 12 ? 5x 3

1. (a) Is the polynomial in order? If not, put it in order.

(b) What is the leading coefficient of the polynomial?

(c) What is the degree of the polynomial?

Simplify.

2. (h2 ? 4h ? 4) ? (5h2 ? 8h ? 2)

3. (9b3 ? 13b2 ? b) ? (?13b3 ? 5b ? 14)

4. ?5 x 2 ? x ? 7 ? ? ?2 x 2 ? 3x ? 4?

5. (5x2 ? 16x ? 9) ? (3x2 ? 4x ? 1)

6. z 2 (4 z 4 ? z 3 ? 11z 2 ? 6)

8. ?x ? 2?( x ? 3)

9. ?a ? 6?

11. ?7 y ? 4 ? ?2 y ? 5?

12. ?2x ? 4? ?x ? 2?

13. ?3 y ? 5?

14. 3? x ? 4 ?

15. ?3k ? 1??4k ? 9?

16. (5 x ? 9)(3x ? 4)

2

Algebra 1 CP Final Exam Review 2018

2

7. ? 10 pq(3 pq ? 4 p ? 5q 2 )

10. ?2 x ? y ? ?2 x ? y ?

2

Page 4 of 15

Factor completely.

17. 8a 2b3 ? 10ab2

2 2

18. 20xy ? 100x y

19. y 2 ? 64

20. 2 x 2 ? 200

21. x 2 ? 5 x ? 6

22. 9 x 2 ? 30 x ? 25

23. 16 x 2 ? 8 x ? 1

24. 2 x 2 ? 4 x ? 18

25. 6a 2 ? 10a ? 4

26. a 2 ? 12a ? 27

27. ? 2h 2 ? 5h ? 3

28. y 3 ? y ? 9 y 2 ? 9

29. 5n3 ? 4n 2 ? 25n ? 20

Solve the equation by factoring.

30. (3 x ? 2)( x ? 5) ? 0

31. x 2 ? 10 x ? 21 ? 0

32. x 2 ? 5 x ? 14

33. 3a 2 ? 4a

34. m 2 ? 22m ? ?23m

35. s ( s ? 1) ? 72

Algebra 1 CP Final Exam Review 2018

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