Solving one and two step equations
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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.

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Why do we do the same thing to both sides of an equation1
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


Ex 1 solve r 16 7

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 71
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
Ex. 2) Solve x + 2 = -3


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
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
Try These: Don’t forget to check your answer

3. r – 2 = 21

4. m + 17 = 3

5. b – (-4) = 9





Multiplication and division properties of equality
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.




10.


Solving equations using reciprocals
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



Solving two step equations
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:



Try these
Try These:

15.

16.

17.





Solving two step equations by combining like terms
Solving Two-Step equations by combining like terms

Example:

18. 7x – 4x = 21 19. 5b – 7b = 4


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