1. Solving One-Step Equations

2. S.W.B.A.T
Students will be able to take their knowledge of order of operations and substitution to solve a one step equation

3. Do Now: Answer the following on a piece of lose leaf a= 5 and b= 2
8a ÷ b

4. Solving Equations
In an equation, the variable represents the number that satisfies the equation
To solve an equation means to find the value of the variable that makes the equation true

5. Process of Solving an Equation
The process of solving an equation involves isolating the variable, making it have a coefficient of 1, on one side of the equation

6. Addition property of equality
If an equation is true and the same number is added to each side of the equation, the resulting equivalent equation is also true
For any real numbers a, b and c, if a=b, then a + c = b + c

7. Examples Solve by adding C – 22 + 54
Since we are subtracting 22 from c, we must add 22 to get c by itself.
What we do to the left side we must do to the right side
C – =
C = 76
This is the horizontal method, I will show you the vertical method on the board

8. Check
C = 76
C – 22 = 54
76 – 22 = 54
54 = 54

9. Subtraction Property of Equality
If an equation is true and the same number is subtracted from each side of the equation, the resulting equivalent equation is also true
For any real numbers a, b and c, if a = b, then a – c = b - c

10. Examples Solve by subtracting 63 + m = 79
63 is being added to m, in order to isolate the variable we must subtract 63 from each side
63 – 63 + m = 79 – 63
M = 16

11. Check
m = 16
63 + m = 79
= 79
79 = 79

12. Multiplication Property of Equality
If an equation is true and each side is multiplied by the same nonzero number, the resulting equation is equivalent
For any real numbers a, b and c, if a = b, then ac = bc

13. Examples Solve by multiplying
Take the fraction being multiplied by the variable and multiply each side by its reciprocal

14. Division Property of Equality
If an equation is true and each side is divided by the same nonzero number, the resulting equation is equivalent
For any real numbers a, b and c, if a = b, then

15. Examples Solve by dividing 39 = -3r
Since we want r is being multiplied by -3 and we want r to be by itself we must divide each side by -3
= r

16. Check
-13 = r
39 = -3r
39 = -3 ( -13)
39 = 39