Unit 5 Review

Simplify

100

6c³(5c⁴)

30c⁷

200

(f²)⁵(3f⁵)

3f¹⁵

300

(5x²y⁵)³

125x⁶y¹⁵

400

(cd/7c)²

c²d²/49c²

500

(p³)^-5(pz)⁶

z⁶/p⁹

Adding & Subtracting

100

(3x² - 8x + 4) + (5x² + 2x)

8x² - 6x + 4

200

(2x - 5) - (8x - 7)

-6x + 2

300

(7x⁵y³ - 4x⁴y²) + (x⁵y³ - 5x⁴y²)

8x⁵y³ - 9x⁴y²

400

(3x³ - 2x²) - (5x³ - 4x² + 7x)

-2x³ + 2x² - 7x

500

Find the perimeter of a 7x² by 8x² rectangle.

30x²

Random

100

Determine the degree and coefficient of the monomial:

-x⁶

Degree = 6, Coefficient = -1

200

Write the expression in standard form: 2.875 x 10⁶

2,875,000

300

Write the expression in standard form: 3.42 x 10^-5

0.0000342

400

Divide (6x⁴ - 4x³ + 2x²) by (2x²)

3x² - 2x + 1

500

Divide (5x³y² - 10x⁵y³) by (5x²y²)

x - 2x³y

Multiplying

100

(5x)(7x⁵)

35x⁶

200

7x⁵(2x⁴ - 3x³)

14x⁹ - 21x⁸

300

(x + 7)(x - 7)

x² - 49

400

(2x - 5)(3x - 4)

6x² - 23x + 20

500

(2x - 5)²

4x² - 20x + 25

Applications

100

Bill Gates donated $76,500,000 to the Humane Society. Write this number in scientific notation.

7.65 x 10⁷

200

Find the perimeter of a rectangle that has a length of 5x² cm and a width of 9x cm. 

10x² + 18x

300

Junior's doghouse has a roof that measures 2x³ inches in width and (6x - 2) inches in length. Write a polynomial that represents the area of the roof.

12x⁴ - 4x³ in²

400

Write without negative exponents: 

9x^-2/3y^-4

3y⁴/x²

500

-(2x)⁰ (-3x²)^-3

1/27x⁶