Scientific Notation & Solving Equations

Scientific Notation & Solving a System of Two Linear Equations

Scientific Notation

• Used to write really big and really small numbers.

• The first part is a number between 1 and 10. The second part is 10 raised to a power. Ex:5.5 x 10¹⁵

• Use your calculators :)

Multiple Choice

Multiply:
(1.4 x 10⁵)(2 x 10⁷)

• 2.8 x 10³⁵
• 2.4 x 10¹²
• 2.8 x 10¹²

Multiple Choice

The mass of the sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

• 3.326 x 10⁵

• 3.326 x 10⁶

• 1.99 x 10³⁰

• 1.99 x 10⁶

Multiple Choice

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles? 

• 4.3092 x 10¹
• 3.9098 x 10⁷
• 3.9098 x 10⁸
• 5.7678 x 10⁸

Solving a Sytem of Linear Equations

• Graph the lines

• Find where they intersect.

Graphing Systems of Linear Equations using Desmos

https://www.youtube.com/watch?v=q5cOaKNToN8

Multiple Choice

What is the solution to the system of linear equations?

• (2, 5)

• (3, 3)

• (-3, -3)

• (-2, -1)

Multiple Choice

Solve the system of linear equations by substitution.

 $y\ =\ -2x+5$  
 $3x+5y=18$  

• (1, 3)

• (6, 3)

• (-5, 0)

• (2, 7)

Multiple Choice

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x
• x + y = 6.80
  x + y = 7.30
• y = 6.80+.90x
  y = 7.30 + .65x
• y + .90x = 6.80
  y + .65x = 7.30