Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Identify the index of
A.
.
B.
3 C.
7
2. Identify the radicand of
A.
4 B.
3. Evaluate
A.
2
4. Evaluate
A.
–4
5. Evaluate
A. 0.7
.
.
.
.
B.
2.6
B.
impossible
B. 0.007
C.
6
C.
16
C.
–12.8
C. 0.1143
D.
2
D.
8
D.
1.41
D.
4
D. 0.49
6. Evaluate
A.
.
B. C.
7. Evaluate
A.
0.0085
.
B.
0.0042 C.
0.13
8. Write an equivalent form of 0.4 as a fourth root.
A.
B.
C.
9. Which of these roots lies between 3 and 4?
, , ,
A.
B.
C.
D.
D.
0.013
D.
D.

Problem (Must Show Work)
10. A cube has surface area 2646 m
2
. What is its volume?
11. Use factoring to determine whether 4913 is a perfect square, a perfect cube, or neither.
12. Germaine wants to paint a cube with volume 2744 m
3
. Each tub of paint covers 79 m
2
. How many tubs of paint does Germaine need to paint the cube?
13. A cube has volume 9261 cubic inches. Determine the area of one face of the cube.
14. Evaluate .
15. Evaluate .
16. Estimate the value of to one decimal place.

MULTIPLE CHOICE
1. B
2. B
3. A
4. A
5. A
6. A
7. C
8. A
9. C
PROBLEM
10. To calculate the volume, first determine the edge length of the cube.
The surface area of a cube is the sum of the areas of its 6 congruent square faces.
So, the area, A , of one face is:
The edge length, e , of the cube is the square root of the area of one square face.
So, the volume, V , of the cube is the cube of its edge length.
The volume of the cube is 9261 m
3
.
11. Write 4913 as a product of its prime factors.

12. To calculate how many tubs of paint are needed, first determine the surface area of the cube.
The edge length, e , of a cube is equal to the cube root of its volume.
The surface area, SA , of a cube is the sum of the areas of its 6 congruent square faces.
Calculate how many tubs of paint are needed:
Germaine needs 15 tubs of paint to paint the cube.
13. 441 square inches
14.
15.
16. 5.9