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1. Subtract.
6

x

3

3x + 8x

3

8x −
6

Choose the correct difference below.
A. 5x 6 − 9x 3
B. 11x 6 + 7x 3
C. 5x 6 − 7x 3
D. 5x 6 + 7x 3
2. Subtract.
2m3 −

5m2 + 10m +

3

2

− 13m + 10m −

4m −

The difference is

2
6

.

3. Perform the indicated operations.
2

2

2

2

7x − 7x − 57 + 2x + 9x
7x − 7x − 57 + 2x + 9x  =
4. Factor.
2

9y + 3y
2

9y + 3y =
(Factor completely.)
5. Factor.
4 2

3 3

4 2

3 3

4s t − 8s t

4s t − 8s t =
(Factor completely.)
6. Complete the factoring.
2

x   +  9x − 36
7. Write the rational expression in lowest terms.
2

y − 12y + 32
2

y + 3y − 28
2

y − 12y + 32

=
2
y + 3y − 28

2

x   +  9x − 36  =   (x − 3 )(

)

x+3
5x

+

4x + 8
2x

Choose the correct sum.
A.

13x + 31

B.

22x + 46

10x

C.

10x

3 + 3k 1 + k
+
4
8

D.

11x + 23
5x

5x + 11
7x

3 + 3k
4

+

1+k
8

=

10. Simplify.
50
Select the correct choice below and fill in any answer boxes within your choice.
A.

50 =

B. The radical cannot be simplified.

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

1500
A. The radical cannot be simplified.
B. − 1500 =
as  needed.)

12. Multiply and simplify by factoring.
5 14 • 7 10
5 14 • 7 10 =
13. Solve.
x 2 − 19x + 90 = 0
Select the correct choice below and fill in any answer boxes within your choice.
A. The solutions are x =

(Use a comma to separate answers as needed.)
B. There is no real number solution.

14. Solve by completing the square.
2x 2 + 2x + 16 = 0

Select the correct choice below and fill in any answer
boxes within your choice.
A. x  =
(Type an integer or a simplified fraction.
Use a comma to separate answers as
needed.)
B. There are no real solutions.

15. Solve by completing the square.
x 2 − 4x = − 3

Select the correct choice below  and, if  necessary, fill in the
answer box to complete your choice.
A. The solutions are x  =
.
(Simplify your answers. Type an integer
or a fraction. Use a comma to separate
B. There is no real solution.

1. A. 5x 6 − 9x 3

2. 15m3 − 15m2 + 14m + 8

3. 9x 2 + 2x − 57

4. 3y(3y + 1)

5. 4s 3 t2 (s − 2t)

6. x + 12

7. y − 8
y+7

8.

C.

11x + 23
5x

9. 7(1 + k)
8

10. A.  50 =

11. B.  −

1500 =

5 2

− 10 15

12. 70 35

13. A. The solutions are x =

9,10

.  (Use a comma to separate answers as  needed.)

14. B. There are no real solutions.

15. A. The solutions are x =

1,3

.

(Simplify your answers. Type an integer or a fraction. Use a comma to separate answers as  needed.)