Pre-Algebra (Medium)

System's of Equations

100

{X+Y=5

{2x-Y=4

3,2

200

{X-Y=6

{2y+X=3

5,-1

300

{-2x+4y=4

{3x-4y=2

6,2

400

{y=-4/9x-3 

{y=-7/5x-3

0,-3

500

{y=6x+9y=-24

{3x-9y=-18

-6,0

Volume

100

Find the Radius and diameter of the Cone  V=1/3pi r²

r=4 yd

h=11 yd

58.7 yd³

200

Find the volume of the cylinder 

R=6 cm

H=8 cm

72 cm³

300

Find the volume of the cylinder          V=pi*r²*h

R=8 Km

H=4 Km 

256 km³

400

Find the Volume of the Sphere   V=4/3 r³

R=5 m 

166.7 m³

500

Find the volume of the cone 

R=14

H=14

256 km³

Pythagorean Theorem

100

Jerry and Bob are about to go down a hill. The height  is 33² and the width is 56². How steep is the hill?.

65

200

Henry and Sebastian are running up a hill. The height is 14² and the width is 48². How steep is the hill?.

50

300

Bob and Brian are trying to find the right side of a triangular house, The angles are 7² and 24². What is the right angle of the house?

25

400

Michael is trying to find the right angle of an aquarium. The angles are 5² and 12². What is the right angle of the aquarium. 

13

500

John is trying to find the right angle of a cash register.\

The angles are 1² and 5². What is the right angle of the cash register?

1 

Exponents

100

x⁶* x⁹=?                            Multiplication= add 

                                          Division= subtract 

                                                                                                                              Power to Power=                                                                              multiply

x¹⁵

200

3⁵/3

3⁴

300

4⁰*4^-4/4⁰                                                                                              

1/4⁴

400

Solve these 2 expressions 

1. 2²/             2. (3xz ⁵)³                                           (2³)²*2⁴     

1. 1/2⁸      2.  27x³x¹⁵

500

Solve these 3 expressions 

1. 3/7⁶ * 3/7⁴            3. k²n⁶ * 3k³n⁴ * 9kn³

2. 2⁶

    2^-5

1. 3/7¹⁰ 

2. 2¹¹

3. 27k⁶n¹³

Scientific Notation

100

Solve this in scientific notation 

1.373 X 10⁵=?

137,300

200

Translate this standard number into a scientific notation equation 

Standard number: 0.0000304

Scientific notation: ? 

3.04 X 10^-5

300

Translate this scientific notation equation into a standard number. 

Scientific notation Equation: 6.06 X 10⁶

6,06,000

400

Translate these 2 scientific notation Equations into standard numbers 

1. 8.39 X 10³       2. 2.199 X 10⁸

1. 8,390        2. 2,199,900,000

500

Convert these 3 standard numbers into scientific notation equation's 

1. 5,418    2. 923,000   3. 0,000,4689

1. 5.418 X 10³       2. 4.689 X 10^-4

3. 9.23 X 10⁵