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3/13/2016 Chapter 10 Review Homework-Virginia Davis

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Student: _____________________Date: _____________________

Instructor: Virginia DavisCourse: Foundations for College Math(1)

Assignment: Chapter 10 ReviewHomework

Find the root. Assume that the variable represents a nonnegative real number.

5x35

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. (Simplify your answer.)

5x35

=

B. The root is not a real number.

Simplify by factoring. Assume that all variables under radicals represent nonnegative numbers.

x14

Select the correct choice below and, if necessary, fill in the answer box that completes your choice.

A.=x

14

(Type an exact answer, using radicals as needed.)

B. The square root is not a real number.


36x6


A.36x

6=



Simplify the radical. Assume that all variables represent positive real numbers.

364x

9


A.=

364x

9

B. The radical does not represent a real number.



5.

6.

7.

8.


x16


A. =x16

(Type an exact answer, using radicals as needed.)B. The square root is not a real number.


49a2b14


A. 49a2b14 =



3 − 8x9y6


A. =3 − 8x9y6

B. The radical does not represent a real number.

Simplify the radical.

916


A. (Type an integer or a simplified fraction.)=916




9.

10.

11.

12.


x4

4y2


A. =

x4

4y2

(Simplify your answer. Use integers or fractions for any numbers in the expression.)B. The square root is not a real number.

Use radical notation to rewrite the expression.

811 2


A. (Simplify your answer. Type an exact answer, using radicals as needed.)811 2 =

B. The answer is not a real number.

Use radical notation to write the expression. Simplify if possible. Assume that all variables represent nonnegative quantities.

8m

13


A. 8m

13 =

(Simplify your answer. Type an exact answer, using radicals as needed.)B. The answer is not a real number.

Use rational exponents to simplify the radical. Assume that all variables represent positive numbers.

15 x5

15 x5 =



13.

14.

15.

16.

17.

18.

Use radical notation to rewrite the expression.

161 2




Use radical notation to write the expression. Simplify, if possible.

3431 3




Use rational exponents to simplify each radical. Assume that all variables represent positive numbers.

15 a5b5

=15 a5b5

(Simplify your answer. Type an exact answer, using radicals as needed.)

Use rational exponents to simplify the expression. Assume that all variables represent positive numbers.

12 x8b4

=12 x8b4

(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)

Use the product rule for radicals to find the product.

6 • 7

6 • 7 = (Simplify your answer.)

Use the product rule to multiply.

3 6 • 3 7

3 6 • 3 7 = (Type an exact answer, using radicals as needed. Simplify your answer.)



19.

20.

21.

22.

23.

Use the quotient rule to simplify.

29

29=

(Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

Use the quotient rule to simplify.

716

716

=

(Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Simplify your answer.)

Use the quotient rule to divide, then simplify, if possible.

10

2

10

2=

(Type an exact answer, using radicals as needed. Simplify your answer.)

Use the quotient rule to divide. Then simplify if possible.

3 25032

3 25032

=

(Type an exact answer, using radicals as needed. Simplify your answer.)

Add. Simplify by collecting like radical terms, if possible.

2 5 + 9 5

2 5 + 9 5 = (Type an exact answer, using radicals as needed.)



24.

25.

26.

27.

28.

29.

Add or subtract.

5 4 − 6 + 2

5 4 − 6 + 2 = (Type an exact answer, using radicals as needed. Simplify your answer.)

Multiply, and then simplify if possible.

( ) 3 10 + 5

( ) 3 10 + 5 = (Simplify your answer. Type an exact answer, using radicals as needed.)

Multiply, and then simplify if possible.

8 − 67

8 − 67 = (Simplify your answer. Type an exact answer, using radicals as needed.)

Multiply. Assume that all variables represent positive real numbers.

− kq + kq

(Simplify your answer.)− kq + kq =

Rationalize the denominator. Assume that all variables represent positive real numbers.

49x

(Type an exact answer, using radicals as needed.)49x

=

Rationalize the denominator.

7 5

2

7 5

2=




30.

31.

32.

33.

Solve.

= 287x


A. x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

B. There is no real solution.

Solve.

x − 6 = 3


A. The solution(s) is(are) x . = (Use a comma to separate answers as needed.)

B. The solution set is .

Solve.

− 4 = 05x − 9

Select the correct choice below and fill in any answer boxes present in your choice.

A. x = (Simplify your answer. Use a comma to separate answers as needed.)

B. There is no solution.

Solve.

+ 9 = 08x + 3

Select the correct choice below and fill in any answer boxes present in your choice.

A. x = (Simplify your answer. Use a comma to separate answers as needed.)

B. There is no solution.



34.

35.

36.

37.

38.

39.

Find the length of the unknown side of the triangle.

24 ft

6 ft

The length of the unknown side of the triangle is ft. (Simplify your answer. Type an exact answer, using radicals as needed.)

Find the length of the unknown side of the given triangle.

2 m6 m

The side is m. (Simplify your answer. Type an exact answer, using radicals as needed.)

Simplify.

− 29

(Type an exact answer, using radicals and as needed.)− 29 =

Write in terms of .

5 − 8

5 − 8 = (Simplify your answer. Type an exact answer, using radicals and as needed.)

Add.

(9 − 9 ) + (4 + 8 )

( ) ( )9 − 9 + 4 + 8 = (Simplify your answer. Type your answer in the form a b .)+

Subtract.

(4 + 7 ) − (9 − 8 )

(4 + 7 ) − (9 − 8 ) = (Simplify your answer. Type your answer in the form a b .)+



40.

41.

42.

43.

44.

Multiply.

i ( i )9 3 − 4

i ( i )9 3 − 4 = (Simplify your answer. Type your answer in the form a + b .)

Write the quotient in the form a + bi.

1 + 91 +

1 + 91 +

=

(Simplify your answer. Type your answer in the form a b . Use integers or fractions for any numbers in the expression.)

+

Subtract.

(8 − 9 ) − (4 − 7 )

(Simplify your answer. Type your answer in the form a + b .)(8 − 9 ) − (4 − 7 ) =

Multiply.

( i )( i )4 + 8 5 +

( i )( i )4 + 8 5 + = (Simplify your answer. Type your answer in the form a b .)+

Perform the indicated operation.

2 − 32 +

2 − 32 +

=

(Type your answer in the form a b . Use integers or fractions for any numbers in the expression.)+



1. A. (Simplify your answer.)5 x35 = x7

2. A. =x14 x7 (Type an exact answer, using radicals as needed.)

3. A. 36x6 = 6x3 (Type an exact answer, using radicals as needed.)

4. A. =3 64x9 4x3

5. A. =x16 x8 (Type an exact answer, using radicals as needed.)

6. A. 49a2b14 = 7ab7

7. A. =3 − 8x9y6 − 2x y3 2

8.

A. (Type an integer or a simplified fraction.)=916

34

9.

A. =x4

4y2x2

2y (Simplify your answer. Use integers or fractions for any numbers in the expression.)

10. A. (Simplify your answer. Type an exact answer, using radicals as needed.)811 2 = 9

11. A. 8m13 = 83 m (Simplify your answer. Type an exact answer, using radicals as needed.)

12. 3 x



15. 3 ab

16. 3 x2b



17. 42

18. 3 42

19. 2

3

20. 7

4

21. 5

22. 5

23. 11 5

24. 4 + 2

25. +30 15

26. 8 − 487

27. q − k2

28. 7 x

x

29. 7 10

2

30. A. x = 112 (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

31. A. The solution(s) is(are) x . = 15 (Use a comma to separate answers as needed.)

32. A. x = 5 (Simplify your answer. Use a comma to separate answers as needed.)



33. B. There is no solution.

34. 6 17

35. 4 2

36. 29

37. 10 2

38. 13 −

39. − 5 + 15

40. 36 + 27

41. 5 + 4

42. 4 − 2

43. 12 + 44

44. −15

85

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