PA - CH4

Factor Trees

100

Factor completely:

49

7²

200

Factor completely:

32

2⁵

300

Factor completely:

693

3^{2 .} 7 ^. 11

400

Factor completely:

308st³

2^{2 .} 7 ^. 11 ^. s ^. t³

500

Factor completely:

7500x²y

2^2 . 3 ^. 5^{4 .} x^2 . y

GCF

100

GCF of 8 and 12

4

200

GCF of 56 and 84

28

300

GCF of 20, 60 and 180

20

400

GCF of 32a³b and 36ab²

4ab

500

GCF of 9xy², 15y⁴, and 24x²y²

3y²

Scientific Notation

100

43,000,000 in scientific notation

4.3 x 10⁷

200

9.3 x 10⁸ in standard form

930,000,000

300

0.000032 in scientific notation

3.2 x 10^-5

400

(3 x 10¹⁰)(7 x 10⁸)

2.1 x 10¹⁹

500

(8.3 x 10⁶)(3 x 10⁵)

make sure your answer is in scientific notation!

2.49 x 10¹²

Simplest Form

100

Simplify:

-45/75

-3/5

200

Simplify:

72x³y² / 80xy³

9x² / 10y

300

Evaluate:

x² - 2y

if x=5 and y=7

11

400

Evaluate:

mn^-2

if m=3 and n=2

3/4

500

Evaluate:

5^{3 .} 5^-6

write your answer w/o exponents

1/125

Multiply/Divide

100

Simplify:

(x³)⁵

x¹⁵

200

Simplify:

a^{7 .} a^{5 .} b³

a¹²b³

300

Simplify:

7⁹ / 7¹¹

write your answer w/o exponents

1/49

400

Simplify:

x⁵y² / x³

x²y²

500

Simplify:

(-15x³y)(3x²y²)(-2x)

90x⁶y³