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# Solving One and Two step Equations - PowerPoint PPT Presentation

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

Sol A.1

=

-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!

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

• Subtract 16 from both sides

• Simplify vertically

- 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

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

3. r – 2 = 21

4. m + 17 = 3

5. b – (-4) = 9

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

8. -6m = 48

9. 14 = -x

10.

10.

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

Example 11:

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:

Example 14:

15.

16.

17.

Example:

18. 7x – 4x = 21 19. 5b – 7b = 4