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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-7Ex. 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!
- 16 -16
r = -23
-23 + 16 = -7
- 2 - 2
x = -5
-5 + 2 = -3
On homework and tests, be sure to check your work!!
There is no reason why you should miss a problem!
X - 9 = 15
How can you check your answers?
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 7. 7m=91
8. -6m = 48
9. 14 = -x
Rule – When the original number is multiplied by it’s reciprocal the product should equal 1.
Don’t forget to check your answer
Note- When solving two step equations Always Isolate the variable first. (i.e. get rid of anything that is not with your variable.)
18. 7x – 4x = 21 19. 5b – 7b = 4