1. Bell Ringer

2. Solving 1-Step Equations with Rational Coefficients
Objective: To solve one-step integer equations using addition, subtraction, multiplication, and division

3. Solve an Equation
To find all values of a variable that make an equation true

4. A one-step equation is as straightforward as it sounds
A one-step equation is as straightforward as it sounds. You will only need to perform one step in order to solve the equation.

5. Solving One-Step Equations
Inverse Operation
Operations that “undo” each other
For example, addition “undoes” subtraction and subtraction “undoes” addition.
Multiplication is the inverse of division

6. Solving Equations Using Addition or Subtraction:
If a number has been added to the variable, subtract that number from both sides of the equation.
If a number has been subtracted from the variable, add that number to both sides of the equation.

7. Replace the variable with your answer.
Example 1: Solve m + 7 = 11
m + 7 = 11
To undo the addition of 7, subtract 7 from both sides of the equal sign.
m = 4
Check the solution.
m + 7 = 11
Replace the variable with your answer.
(4) + 7 = 11
11 = 11 

8.  -6 = m - 4 +4 +4 -2 = m -6 = m - 4 -6 = (-2) - 4 -6 = -6
Example 2: Solve -6 = m - 4
-6 = m - 4
To undo the subtraction of 4, add 4 to both sides of the equal sign.
-2 = m
Check the solution.
-6 = m - 4
Replace the variable with your answer.
-6 = (-2) - 4 
-6 = -6

9. Practice
j - 3 = r = 26
r = 30
j = - 9

10. Solving Equations Using Multiplication or Division
If a variable has been multiplied by a nonzero number, divide both sides by that number.
If a variable has been divided by a number, multiply both sides by that number.

11. Replace the variable with your answer.
Example 3: Solve 3y = 261
3y = 261
To undo the multiplication by 3, divide 3 from both sides of the equal sign.
y = 87
Check the solution.
3y = 261
Replace the variable with your answer.
3(87) = 261
261 = 261 

12.  -w = 42 -1w = 42 -1 -1 w = -42 -w = 42 -(-42) = 42 42 = 42
Example 4:
Use the multiplication property of - 1
-w = 42
To undo the multiplication of
-1 , divide both sides by -1.
-1w = 42
-1 is being multiplied to w
w = -42
Check the solution.
-w = 42
Replace the variable with your answer.
-(-42) = 42
42 = 42 

13. Practice
-6x = b = 12
(-4)
(-4) -4
x = 6
b = -48

14. Practice: Solve and Check
1. x-(-8)= x=19
3. x/7=-12

15. Practice: Solve and Check
4. x+7= x=6

16. Practice: Solve and Check
6. 9=5+x x=-7.25