Equation Invasion Objective: I can solve two-step equations using the opposite operation to determine the value of an unknown variable.

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Presentation transcript:

Equation Invasion Objective: I can solve two-step equations using the opposite operation to determine the value of an unknown variable.

What is the Big Idea? What are two-step equations? How are they different that one- step equations? Can I still use the opposite operation to isolate the variable?

One-Step Review-o-Rama x - 67 = 72 First, we isolate the variable by using the opposite operation. + 67 + 67 Then, whatever we do to one side, we have to do to the other. x = 139 Next, we re-write our equation. 139 - 67 = 72 Finally, we check our work by plugging in our answer to our original equation.

Share out with your neighbor! What do YOU think? How do you think two-step equations are different than one-step equations? Share out with your neighbor!

Step 1: Get rid of the number that is NOT connected to the variable. Step by Step 3x + 14 = 47 - 14 Step 1: Get rid of the number that is NOT connected to the variable.

Step 2: Whatever you do to one side, YOU HAVE TO DO TO THE OTHER! Step by Step 3x + 14 = 47 - 14 - 14 Step 2: Whatever you do to one side, YOU HAVE TO DO TO THE OTHER!

Step 3: Re-write your equation. Step by Step 3x + 14 = 47 - 14 - 14 3x = 33 Step 3: Re-write your equation.

Step 4: Isolate the variable using the OPPOSITE OPERATION. Step by Step 3x = 33 Hey! This is just like one-step equations now!! ÷3 Hint: The 3 is connected to the variable with multiplication. Step 4: Isolate the variable using the OPPOSITE OPERATION.

Step 5: Whatever I do to one side, I HAVE TO DO TO THE OTHER! Step by Step 3x = 33 ÷3 ÷3 Step 5: Whatever I do to one side, I HAVE TO DO TO THE OTHER!

Step 6: Re-write your equation! Step by Step 3x = 33 ÷3 ÷3 x = 11 Step 6: Re-write your equation!

Step by Step 3x + 14 = 47 x = 11 3(11) + 14 = 47 Step 7: Check your work, by plugging in your answer into your original equation.

h/12 +34 = 40 -34 -34 Always get rid of the number NOT attached to the variable FIRST Whatever I do to one side, I have to do to the other! h/12 = 6 x 12 x 12 Re-write your equation! h = 72 Solve like it is a one-step, don’t forget to check!

h/12 +34 = 40 h = 72 72/12 +34 = 40

Slate Time 4x - 15 = 25 x= 10 23 + 9x = 77 x= 6

f/5 + 12 =20 f=40 Challenge 7r + 12 = 15 r =3/7

...To use your common sense and problem solving skills!