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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.

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one step equations

One Step Equations

Using Subtraction, Addition, Multiplication and Division

how do we solve an equation
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.
    • You can isolate a variable using the properties of equality and inverse operations.
      • An inverse operation undoes another operation.
solving an equation using subtraction
Solving an Equation Using Subtraction

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

equation.)

Next…You must ALWAYS check your work!!!

checking your work
Checking your work.
  • Always check your work and you will make sure you have the correct answer.

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!!)

solving an equation using addition
Solving an Equation Using Addition

-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.

solving an equation using division
Solving an Equation using Division

4x = 6.4 (Isolate the variable)

(Undo multiplication by dividing

the same number from both

sides. What Property are you

using?)

(Simplify each side of the

equation.)

Check your answer now.

your turn
Your turn

-3.2z = 14

solving an equation using multiplication
Solving an Equation using Multiplication

x/4 = -9 Isolate the variable.

Undo division by muliplying.

(What property are you using?)

Simplify both sides of the

equation.

Check your work!!!!!

your turn1
Your turn

19 = r/3

x/-9 = 8

solving equations using reciprocals
Solving Equations using Reciprocals

4/5m = 28 (Isolate the variable.)

(Multiply each side by 5/4, the

reciprocal of 4/5.)

(Simplify)

Check your work!

your turn2
Your turn

12 = 3/4x