**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!*

- a * a * a * a
- (-5x)^3
- x^2*x^5*x^3
- (x^2)^3
- 15a^8 /
45a^2
- (a^3)^4
- x^0*x^2
- x^-2*x^-5*x^3
- c^0*c^2*c^-4
- 24x^4 /
6x^6
- (x^2*b^3)^3
- (4a – 5) + (3a + 6)
- (4a – 5) - (3a + 6)
- (7x^2 – 8) + (-3x^2 + 1)
- (7x^2 – 8) - (-3x^2 + 1)
- 6P –
(8Q + 5P)
- 5(2A + 3B)
- 3x (4x – 2y)
- (x + 4) (x + 2)
- (x – 3) (x + 5)

__Express each in scientific notation:__

- 6387
- 560,000

__Evaluate. Express each result
in scientific and decimal notation:__

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

__Give the Degree of each polynomial:__

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

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

- 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?

- 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?

- 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?

- 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?