Radicals, Exponents and Polynomial Operations

Simplifying Radicals

100

___ simplify √196

What is 14.

200

___ simplify -5√24

___ What is -10√6

300

__ simplify 11√99x⁴y³

__ What is 33x²y√11y²

400

___ simplify ³√27

What is 3.

500

___ Simplify ³√64x⁴y⁹z

What is 4xy^{3 3}√xz

Add & Sub Radicals

100

5√3 + √3

What is 6√3

200

5√7 - 6√7

What is -1√7.

300

5√2 + 3√8

What is 11√2

400

-3√4 - 5√2 - 6√8

What is -17√2

500

12 + 5√7 + √28

What is 12 + 7√7

Polynomial Operations

100

(2 - 5a² +7a) + (6a + 4 - 2a²)

What is -7a² +13a + 6

200

(r³ - r² +8r) - (8r³ + 5r² - 2r)

-7r³ - 6r² + 10r

300

(2x - 6)(5x + 6)

What is 10x² - 18x - 36

400

(3m - 3)(3m + 3)

What is 9m² - 9

500

(n² - 7n - 9) / (n + 2)

n - 9 + 9/ (n+2)

Multiply & Divide Radicals

100

√2 * √36

What is 1√72

200

 -5√24 * √3

What is -30√2

300

2√4 / √3

4√3 /3 

400

√4 /  3√20

√5 / 15

500

√2n⁴ / √3n³

√6n / 3

Scientific Notation

100

Put 3,000,000,000 into scientific notation.

What is 3 * 10⁹

200

Rewrite 456 * 10³ in standard form.  

What is 45.600

300

Rewrite .007485 in scientific notation.

What is 7.485 * 10^-3

400

Put (3.8 X 10¹) (6 X 10⁵) in scientific notation.

What is 2.28 X 10⁷

500

Put in Scientific Notation:  4.4 X 10^-6/ 4 X 10^-2

What is 1.1 X 10^-4