For Problems 1 through 4, evaluate the expression. No need to show work.

1. 81

2. 10 29

3. 70 (364)3

4. 2.1 + 12(25144 )

5. The area of a circle is 225 in2. What is the radius of the circle?

Briefly show or describe your work.

6. Name a square root that is located between 3 and 4 on the number line.

No need to show work.

7. A rectangle is 1 meter wide and 4 meters long.

What is the exact (not rounded or estimated) length of its diagonal?

Briefly show or describe your work.

8. A cube-shaped aquarium has a volume of 512 cubic inches.

Find the width of the aquarium. No need to show work.

For #9 - 10, classify the real number. List all names that apply.

No need to simplify or evaluate.

9. 16

10. 32

For #11 - 12, write the decimal as a simplified fraction or mixed number.

Briefly show or describe your work.

11. 0.37373737....

12. 2.0666666...

13. Find the distance between (5, 4) and (5, 3) on the coordinate plane.

Give your answer in radical form. Briefly show or describe your work.

14. The legs of a right triangle have lengths of 39 meters and 52 meters.

The hypotenuse has a length of 5p meters. What is the value of p?

Show or explain how you know.

15. The side lengths of a triangle are 7 inches, 8 inches and 11 inches.

Classify the triangle as acute, right or obtuse. Show or describe how you know by using the converse of the Pythagorean Theorem, without making a diagram of the triangle.

Bonus: The diagonal of a square is 2 inches long. Find the area of the square.

Briefly show or describe your work.