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Transcript
Solving Two Step Equations
Objectives:
•To solve equations by using the addition and
multiplication properties
How to solve two-step
equations
• “Undo” the operations in the reverse
order of the order of operations.
• You are using the work back-words
strategy
• In order of operations we do
multiplication or division first, then
addition and subtraction. When
solving an equation we do the
opposite!
Solving Equations Song
Tune: If You’re Happy and You Know It
If you want to solve equations, here is how.
Read them with their operations, do it now.
Then UNDO them every time
By directions in this rhyme.
DO THE OPPOSITE. That’s what the rules allow.
If you read “MINUS,” then to solve them you must ADD.
If you say “PLUS” you must SUBTRACT or you’ll be sad.
Multiply will get undone
By DIVIDING every one.
And divide gets MULTIPLIED, or answer’s bad.
Oh, equations must stay balanced to be true.
WHAT YOU DO TO ONE SIDE YOU MUST DO TO TWO.
And to solve for the unknown
You must get it all alone
Using every single trick you know to do.
Click for music
Example 1
Solve.
7x + 6 = 13
-6 -6
7x = 7
7 7
x=1
Example 2
Solve.
-4y + 3 = 12
-3 -3
-4y = 9
-4 -4
9
y
4
1
y  2
4
Example 3
Solve.
14(6)
(6) 10  z(6)

3
2
60  2z  42
-60
-60
2z  18
2
2
z 9
PLACEMAT EQUATION SOLVING
• Work in groups 4
• Each student completes one of the
problems on the placemat.
• Find the sum of the solutions and
write the sum in the center of the
placemat.
• Raise hand when done.
1.
4x  5  43
14  7 x  35
x  12
x
 10  6
5
x  20
x  3
1
x
23   19
3
x  12
Practice
Solve.
1) 9x + 6 = 51
x 5
3) -18 – 3x = -57
x  13
2) -8y – 4 = 28
y  4
4) 4 – 8x = 12
x  1
Game
• http://www.math-play.com/TwoStep-Equations-Game.html
Summary
• When asked to solve an equation,
what is the goal?
• Which operation do you do first?