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Solving One and Two Step Equations

Algebra 1 DIY Field Trip Project. Solving One and Two Step Equations. The Main Goal:. The main goal of solving an equation is to get the variable all by itself. X + 5 = 10. You want this “X” to be on the left side of the equal sign and the numbers on the right. GOT IT!.

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Solving One and Two Step Equations

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  1. Algebra 1 DIY Field Trip Project Solving One and Two Step Equations

  2. The Main Goal: The main goal of solving an equation is to get the variable all by itself. X + 5 = 10 You want this “X” to be on the left side of the equal sign and the numbers on the right GOT IT!

  3. HOW DO WE DO THAT? We need to move this five to the other side. We can do that by doing the OPPOSITE of what is being done. (This is called an inverse operation.) Since five is being ADDED we need to subtract it to get it to the other side. SO X + 5 = 10 Show me!

  4. Solving One Step Equations Cont. So we subtract 5 from both sides. REMEMBER: what is done to one side must be done to the other! So subtract X + 5 = 10 -5 = -5 x + 5 = 10 -5 = -5 X + 0 = 5 X = 5 X + 0 is just x Lets TRY it!

  5. Four examples for you to practice on your paper. Check your answers when done. Show me the answer Show me X – 4 = 8 X + 6 = 36 X – 3 = -23 X + 5 = -15 Ready Last One!

  6. 1) X = 12 Try #2

  7. X = 30 And Again.

  8. X = -20 GOT IT! Missed it 

  9. Missed #3 no worries! If this is were your error occurred think of a number line. You are in the hole 23 spaces and now you are going to move out of the hole 3 spaces. 2 3 1 X – 3 = -23 + 3 = + 3 Don’t forget you need to do the opposite so you add 3 X = -20 -20 -21 -23 -22 ok

  10. X = -20 UH OH I DID IT!

  11. If you missed #4… If this is where you missed the answer. Think that you are in the hole 15 and now you are going to move deeper into the hole 5. Stop Start X + 5 = -15 - 5 = -5 x = -20 -20 -19 -18 -17 -16 -15 This makes sense! 

  12. Solving Two Step Equations I’m Ready! Solving two step equations is similar there is just one more step to do before x is all alone.

  13. Solving Two Step Equations Same as before we are still going to subtract the number being added. But now we have a 2 attached to the x! So we will do the inverse Operation. Since the 2 is being multiplied to the x we will DIVIDE by 2 2x + 10 = 20 - 10 = -10 2x = 10 2x = 10 = 2 X = 5 Remember: What you do to one side you must do to the other! 2 divided by 2 is 1 so we just write “x” I got this!

  14. Lets Try Some! Show me this answer 5x-10 = 30 3x + 12 = 20 Show me this answer

  15. 1) X = 8 Got it! Why?

  16. Number 1 Go Back 5x - 10 = 30 +10 = +10 5x = 40 5 5 x = 8

  17. 2) X = 8/3 I still don’t understand Got it! Its okay to have Fractions! You can also use your calculator to simplify them (REMEMBER: hit math, enter, enter)

  18. Number 2 Since 8 divided by 3 can not be simplified anymore we leave it as 8/3. 3x + 12 = 20 -12 = -12 3x = 8 3 3 IM DONE

  19. GREAT JOB! Please turn in your notes for me to grade. I will get them back to you.

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