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Solving One and Two step EquationsPowerPoint Presentation

Solving One and Two step Equations

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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

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Ex. 1) Solve r + 16 = -7Think 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

- 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?

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:

Example 7. 7m=91

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

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: