Title: Modeling and Solving TwoStep Equations through explorelearning'com
1Modeling and Solving Two-Step Equationsthrough
explorelearning.com
- SEVENTH GRADE MATH
- Moving Straight Ahead
- Investigation 4.2
2A.The first equation that you will see is
2x 2 6. Part 1. Modeling the equation
- 1. The left side of the equation is 2x 2.
-
- a. How many x-cups will you need to model this?
- You will need 2 x-cups
-
- b. How many unit counters will you need to
model this? - 2 unit counters
3 c. Drag the correct number of cups and
counters to the left
side of the equal sign
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9 c. Drag the correct number of cups and
counters to the left side of the equal sign.
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15 d. Click the Check button to make sure
you have the correct model.
16This is the correct model for the equation 2x 2
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17Part II. Using your model to solve the
equation 1. You first need to subtract the unit
counters from the left side and an equal number
from the right side.
a. How many unit counters should be subtracted
from each side of the equation?
18Subtracted one counter from the left and one from
the right sides.
19Subtracted the last counter on the left side and
one from the right side.
20 b. Once you isolate the variables on one side
of the equation, you need to divide the
remaining unit counters so that there are an
equal number in each of the x-cups .
C.How many unit counters will be in each x-cup?
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26Check for Understanding with a new problemModel
and solve the equation 3x 4 16.
3x 4 16 3(4) 4 16 12 4 16 16 16
The solution x 4 is correct