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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Solving One and Two step Equations

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Solving one and two step equations

Solving One and Two step Equations

Sol A.1


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

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 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 7

1) Solve r + 16 = -7


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


3 r 2 21

3. r – 2 = 21


4 m 17 3

4. m + 17 = 3


5 b 4 9

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:


Solving one and two step equations

Division:

Example 7. 7m=91


Solving one and two step equations

Try These:

8. -6m = 48

9. 14 = -x

10.


Solving one and two step equations

  • -6m = 48


Solving one and two step equations

  • 14 = -x


Solving one and two step equations

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


Example 12

Example 12


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:


Solving two step equations1

Solving Two Step Equations

Example 14:


Try these

Try These:

15.

16.

17.


Solving one and two step equations

15.


Solving one and two step equations

16.


Solving one and two step equations

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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