Modeling 1-Step Equations

Modeling 1-Step Equations
With candy!
Here are the pieces
= -x
= -1
(upside down)
= +x
= +1
How it works
• Build each equation using the candy
• Ex: x + 4 = 6
•
=
How it works
• Find zero pairs
• When you have the same thing on both sides of the
equal sign, they are called zero pairs.
• Zero pairs are also formed by positive and negative
numbers on the same side of the equal sign.
•
=
• There are 4 skittles on both sides so there are 4 zero
pairs.
How it works
• Take out zero pairs
=
• Since a pink starburst is +x and skittles are +1,
we have x = 2
• Solution to the equation: x = 2
You Try!
• Model and solve.
• 3+p=8
• p − 6 = −5
Try this
• x − 7 = 13
•
=
• Skittles and m&ms are not the same so we
must create zero pairs to isolate the x.
• Add 7 skittles to each side
•
=
• Skittles and m&m’s form zero pairs
• Take out zero pairs
•
• So x = 20
=
You try!
• Model and solve
• 3 – x = -2
• x + 4 = -6
What about this?
• -3x = 9
•
=
• So how many skittles (1’s) are there per
starburst (x)?
• -x = 3 so x = -3
You try!
• Model and solve.
• 2x = -18
• -4x = -16