POLYNOMIALS – TEST REVIEW (The test also includes the concept practice on QuizLab)

Simplify each – remember NO negative exponents. Write as a fraction as needed:

Most of these can be done in your head – try it!

1. a * a * a * a
2. (-5x)^3
3. x^2*x^5*x^3
4. (x^2)^3
5. 15a^8 / 45a^2
6. (a^3)^4
7. x^0*x^2
8. x^-2*x^-5*x^3
9. c^0*c^2*c^-4
10. 24x^4 / 6x^6
11. (x^2*b^3)^3
12. (4a – 5) + (3a + 6)
13. (4a – 5) - (3a + 6)
14. (7x^2 – 8) + (-3x^2 + 1)
15. (7x^2 – 8) - (-3x^2 + 1)
16. 6P – (8Q + 5P)
17. 5(2A + 3B)
18. 3x (4x – 2y)
19. (x  + 4) (x + 2)
20. (x – 3) (x + 5)

Express each in scientific notation:

1. 6387
2. 560,000

Evaluate.  Express each result in scientific and decimal notation:

1. 1.82 x 10^5  /  9.1 x 10^7
2.  (5 x 10^-2) (1.4 x 10^-4)

Give the Degree of each polynomial:

1. 1/2x^2 + 3x^3 – 7x + 11
2. X^5 – 2x^4 + 21

Solve each word problem:  Show all work.  Draw a picture as needed.

1. Three sides of a triangle have measures that are consecutive even integers.  What are the lengths of the sides if the perimeter is 114 meters?

1. The school has a perimeter of 18,000 meters.  The length of one side is 3 meters less than twice the width.  What are the dimensions of the field?

1. A box has dimension X, 2X and X + 3.  What is the expression will find the volume of the box?  What is the volume if X = 10?

1. A box has a width of X, a height of 2X and a depth of X + 3.  What expression will find the area of the front of the box with the width and height?  What is the area if the width = 35 centimeters?