8th grade module 5

Volume

100

What is the formula for the volume of a cylinder?

V=3.14r^2h

200

Find the volume of a cylinder with radius 3 cm and height 5 cm.  

About 141.3 cm³

300

What is the formula for the volume of a cone?

V=(3.14r^2h)/3

400

Find the volume of a sphere with radius 4 cm. Round to the nearest 10ths place.

about 267.9 cm³

500

A cylinder has the volume of 310.86 in.³ and a diameter of 6 in. what is the height?

11 in.

Exponent rules part 1

100

Evaluate expression

 5^0 

1

200

Simplify expression

 x^2*x^3 

x⁵

300

Simplify expression

a^3/a^2

a or a¹

400

Simplify

(m²)⁵

m¹⁰

500

True or false

 (-2)^4=-16 

False

(-2)^4=16

exponent rules part 2

100

simplify

 (x^2y)^3 

x^6y^3

200

simplify

(a^2/b^5)^3

a^6/b^15

300

Find the answer

2^2*2^3

2^5=32

400

Find the answer

10^5/10^2

10³=1000

500

Simplify as much as you can

(3x^2y)^2

 3^2x^4y^2 =

9x^4y^2

Scientific notation

100

Write 4,500 in scientific notation

4.5*10^3

200

Write  7.2*10^4 in standard form

72,000

300

Which number is greater:  3.1*10^5 or

8.2*10^4

310,000 > 82,000

400

Write 0.00056 in scientific notation.

5.6*10^-4

500

A galaxy is 9.3*10^8 miles away. Write this number in standard form. 

930,000,000

operations with scientific notation

100

Multiply  

(2*10^3)*(3*10^2)

 6*10^5 or 600,000

200

Divide 

(8*10^6)/(2*10^2

 4*10^4 or 40,000

300

add 

3*10^4+ 2*10^4

 5*10^4 or 50,000

400

subtract 

9.5*10^5 -5*10^4

 9*10^5 or 900,000

500

Add 

3.4*10^3 +3.1*10^4

 3.44*10^4 or 34,400