One Step Equations. Using Subtraction, Addition, Multiplication and Division. How do we solve an equation???. We have to isolate the variable. To do this you have to get the variable with a coefficient of 1 alone on one side of the equation.
Using Subtraction, Addition, Multiplication and Division
X + 13 = 27 (You need to isolate x. Start by writing the equation.)
X + 13 – 13 = 27 – 13 (Undo addition by subtracting
the same number from each
side.) What Property is this?
X = 14 (Simplify each side of the
Next…You must ALWAYS check your work!!!
X + 13 = 27 (Start with the original problem.)
14 + 13 = 27 (Plug in what you found the variable to be.)
27 = 27 (This checks out!!)
6 = x + 2
-7 = b – 3 (Isolate the variable.)
-7 + 3 = b – 3 + 3 (Undo Subtraction by adding the
same number to both sides.
What Property are you using?)
-4 = b (Simplify.)
Now you need to check your work. Like we did before.
m – 8 = -14
½ = y – 3/2
4x = 6.4 (Isolate the variable)
(Undo multiplication by dividing
the same number from both
sides. What Property are you
(Simplify each side of the
Check your answer now.
10 = 15x
-3.2z = 14
x/4 = -9 Isolate the variable.
Undo division by muliplying.
(What property are you using?)
Simplify both sides of the
Check your work!!!!!
19 = r/3
x/-9 = 8
4/5m = 28 (Isolate the variable.)
(Multiply each side by 5/4, the
reciprocal of 4/5.)
Check your work!
12 = 3/4x