solving multistep equations

solving multistep equations

By Alan Rabinowitz

FIND THE VARIABLE AND PLAN YOUR ATTACK

​WHAT LETTER ARE YOU SOLVING FOR?

FOCUS ON THAT SIDE

HOW WILL YOU GET THE LETTER BY ITSELF?

WHAT WILL YOU DO FIRST?​

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Poll

HOW CONFIDENT DO YOU FEEL ABOUT SOLVING FOR X?

3X+9=27

• I DO NOT KNOW WHERE TO START

• I THINK I CAN GET STARTED

• I CN DO IT BUT AM NOT SURE OF MY ANSWER

• I CAN DO THIS EASILY

Multiple Choice

3X-9=27

• X=6

• X=7

• X=8

• X=9

Poll

HOW CONFIDENT DO YOU FEEL ABOUT SOLVING FOR X?

3X+9=27

• I DO NOT KNOW WHERE TO START

• I THINK I CAN GET STARTED

• I CN DO IT BUT AM NOT SURE OF MY ANSWER

• I CAN DO THIS EASILY

Multiple Choice

HOW WOULD I SOLVE THESE EQUATIONS DIFFERENTLY?

4X+7=10 AND 4X-7=10

• THE FIRST ONE YOU ADD SEVEN AND THE SECOND YOU SUBTRACT 7

• THE FIRST YOU SUBTRACT 7 AND THE SECOND YOU ADD 7

• THE FIRST YOU ADD 4 AND THE SECOND YOU SUBTRACT 4

• THE FIRST YOU SUBTRACT 4 AND THE SECOND ADD 4

Multiple Choice

Solve  3x - 7 = 32

• 13
• -13
• 12
• -12

Multiple Choice

Solve  9 + 3x = 10

• 2/3
• 1/3
• -1/3
• 4

Multiple Choice

WHAT IS DIFFERENT WHEN WE SEE SOMETHING LIKE THIS?

2X + 3(4X-7)=29

• WE WOULD DISTRIBUTE THE 3 THEN COMBINE LIKE TERMS

• 2+3 IS 5

  THEN DISTRIBUTE

• ADD 7 FROM BOTH SIDES

• ADD 2X TO BOTH SIDES

Multiple Choice

2X + 3(4X-7) = 29

WHAT VALUE OF X MAKES THIS TRUE? (SOLVE FOR X)

• X=25/7

• X=4/7

• X=-14

• X=29/2

Multiple Choice

SOLVE FOR X

-3(4X-7) +3=96

• X=6

• X=10

• X=-6

• X=-10

WHAT SHOULD WE THINK ABOUT?

​THINGS THAT HELP US SOLVE

LOOK AT THE WHOLE PROBLEM AND SEE WHAT STANDS OUT

WRITE THE PROBLEM ON PAPER SO YOU CAN SEE IT

DECIDE WHERE YOU WANT TO START AND

TRUST YOURSELF.​

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