Transcript 1-Step Equations

Solving 1-Step
Equations
An Equation is Like a Balance
2
An Equation is Like a Balance
2
2
An Equation is Like a Balance
2
2
1-Step Equations
A 1-Step Equation is an equation with 1
variable and 1 math operation.
Example:
x + 6 = 8 -----> Addition Equation
n - 4 = 11 -----> Subtraction Equation
9k = -18 -----> Multiplication Equation
y
= 5 -----> Division Equation
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Inverse Operations
Subtraction
 The inverse operation for addition is __________.
Addition
The inverse operation for subtraction is__________.
Division
The inverse operation for multiplication is ________.
Multiplication
The inverse operation for division is _____________.
In General Remember this…
Addition
+
Subtraction
-
Multiplication
x
Division

Let’s Do Some Addition Equations
x + 5=7
-5 -5
x = 2
x + 3 = -7
-3 -3
x = -10
Since this is an addition equation, you
must subtract 5 from each side to
balance the equation.
Since this is an addition equation, you
must subtract 3 from each side to
balance the equation.
Let’s Do Some Subtraction Equations
x - 5=7
+5+5
x = 12
x - (-3) = 8
x +3=8
-3 -3
x = 5
Since this is an addition equation, you
must add 5 to each side to balance the
equation.
Remember a double negative is a
positive. Change -(-3) to + 3.
Now, solve the resulting addition
equation.
Let’s Do Some Multiplication Equations
5x = 35
5
5
x = 7
-8x = 24
-8
-8
x = -3
Since this is a multiplication equation,
you must divide each side by 5 to
balance the equation.
Since this is a multiplication equation,
you must divide each side by -8 to
balance the equation.
Let’s Do Some Division Equations
x
(4)
= 10(4)
4
Since this is a division equation,
you must multiply each side by 4
to solve the equation.
x = 40
(9) r = -2 (9)
9
r = -18
Since this is a division equation,
you must multiply each side by 9
to solve the equation.
A Special Case: Whenever you have a fractional
coefficient, you multiply both sides by the reciprocal.
3 2 6 3
  m 12  
2  3
2 
m = 18


x + 17 = 3
- 17 - 17
x = -14
6k = 66
6
6
k = 11
m - 8 = -9
+8 +8
m = -1
(-5) p = 2 (-5)
-5
p = -10