Solving one and two step equations
Sponsored Links
This presentation is the property of its rightful owner.
1 / 28

Solving One and Two step Equations PowerPoint PPT Presentation


  • 39 Views
  • Uploaded on
  • Presentation posted in: General

Solving One and Two step Equations. Sol A.1. Why do we do the same thing to both sides of an equation. d + 12 = -5. Why do we do the same thing to both sides of an equation.

Download Presentation

Solving One and Two step Equations

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Solving One and Two step Equations

Sol A.1


Why do we do the same thing to both sides of an equation

d + 12 = -5


Why do we do the same thing to both sides of an equation

  • https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities/why-of-algebra/v/why-we-do-the-same--thing-to-both-sides--simple-equations


r + 16

=

-7

Ex. 1) Solve r + 16 = -7

Think of this equation as a balance scale.

Whatever you do to one side has to be done to the other to keep it balanced!


1) Solve r + 16 = -7


1) Solve r + 16 = -7

  • Draw “the river” to separate the equation into 2 sides

  • Subtract 16 from both sides

  • Simplify vertically

  • Check your answer by substituting your answer back into the problem

- 16 -16

r = -23

-23 + 16 = -7


Ex. 2) Solve x + 2 = -3


2) Solve x + 2 = -3

- 2 - 2

x = -5

-5 + 2 = -3

  • Draw “the river” to separate the equation into 2 sides

  • Subtract 2 from both sides

  • Simplify vertically

  • Check your answer by substituting your answer back into the problem

On homework and tests, be sure to check your work!!

There is no reason why you should miss a problem!


Addition and subtraction Properties of Equality

  • Definition: Either adding or subtracting the same number to each side of the equation produces an equivalent equation.

    Example:

    X - 9 = 15

    How can you check your answers?


Try These: Don’t forget to check your answer

3. r – 2 = 21

4. m + 17 = 3

5. b – (-4) = 9


3. r – 2 = 21


4. m + 17 = 3


5. b – (-4) = 9


Multiplication and Division Properties of Equality

Definition: If you multiply or divide each side of the equation by the same nonzero number you produce an equivalent equation.

Example 6:

Multiplication:


Division:

Example 7. 7m=91


Try These:

8. -6m = 48

9. 14 = -x

10.


  • -6m = 48


  • 14 = -x


10.


Solving Equations using Reciprocals

Rule – When the original number is multiplied by it’s reciprocal the product should equal 1.

Example 11:

Don’t forget to check your answer


Example 12


Solving Two Step Equations

Note- When solving two step equations Always Isolate the variable first. (i.e. get rid of anything that is not with your variable.)

Example 13:


Solving Two Step Equations

Example 14:


Try These:

15.

16.

17.


15.


16.


17.


Solving Two-Step equations by combining like terms

Example:

18. 7x – 4x = 21 19. 5b – 7b = 4


  • Login