Solving 2-Step Variable Equations

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Presentation transcript:

Solving 2-Step Variable Equations

What??? Relax!! You’ve already learned 1-step! You’ll use what you already know to solve 2-step equations.

STEP 1 The first step – figure out the order that you would DO to solve if you knew the value of the variable.

STEP 2 The second step – is to complete UNDO those steps by working in reverse order using inverse operations! + - ÷ •

Whatever we do on one side, we have to do on the other. Let’s try a problem. 8x + 5 = 61 So to UNDO: -Subtract 5 then… -Divide by 8. - 5 - 5 We would first DO: -Multiply by 8 then… - Add 5 so… = 56 8x Whatever we do on one side, we have to do on the other.

Now, Step 2. 8x = 56 Whatever we do on one side, we have to do on the other. This problem has multiplication, so we need to divide now. 8 8 x 7 =

Whatever we do on one side, we have to do on the other. Let’s try a problem. -5x + 3 = 38 - 3 - 3 UNDO in reverse… -Subtract 3 -Divide by -5 DO originally… Multiply by -5 Then, add 3 = 35 -5x Whatever we do on one side, we have to do on the other.

Now, Step 2. -5x = 35 Whatever we do on one side, we have to do on the other. This problem has multiplication, so we need to divide now. -5 -5 x -7 =

Let’s try another problem. + 9 + 9 DO originally… Divide by -4 Subtract 9 UNDO in Reverse… - Add 9 = 40 Multiply by -4 Whatever we do on one side, we have to do on the other.

Now, Step 2. This problem has division, so we need to multiply now. a = -160 Whatever we do on one side, we have to do on the other.

Let’s try another problem. DO originally… -Subtract 8 -Divide by 3 UNDO in reverse… Multiply by 3 - Add 8 a - 8 = 12 Whatever we do on one side, we have to do on the other.

Now, Step 2. a - 8 = 12 + 8 + 8 a 20 = Whatever we do on one side, we have to do on the other.

Now you try some problems. Copy these problems onto a piece of paper. Break each problem into 2 parts to solve. Show all your work! 7f + 5 = 40

Now you try some problems. Copy these problems onto a piece of paper. Break each problem into 2 parts to solve. Show all your work! 7f + 5 = 40 t=5 t = 186 m = 100 y = -80