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Modeling and Solving Two-Step Equations through explorelearning.com






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Modeling and Solving Two-Step Equations through explorelearning.com. SEVENTH GRADE MATH Moving Straight Ahead Investigation 4.2. A. 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.
Modeling and Solving Two-Step Equations through explorelearning.com

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Modeling and solving two step equations through explorelearning comSlide 1

Modeling and Solving Two-Step Equationsthrough explorelearning.com

SEVENTH GRADE MATH

Moving Straight Ahead

Investigation 4.2

A the first equation that you will see is 2x 2 6 part 1 modeling the equationSlide 2

A.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 need2 x-cups

b. How many unit counters will you need to model this?

2 unit counters

Modeling and solving two step equations through explorelearningSlide 3

c.Drag the correct number of cups and counters to the left side of the equal sign

C drag the correct number of cups and counters to the left side of the equal signSlide 9

c. Drag the correct number of cups and counters to the left side of the equal sign.

D click the check button to make sure you have the correct modelSlide 15

d.Click the “Check button” to make sure you have the correct model.

This is the correct model for the equation 2x 2 6Slide 16

This is the correct model for the equation 2x +2 =6

Modeling and solving two step equations through explorelearningSlide 17

Part 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?

Subtracted one counter from the left and one from the right sidesSlide 18

Subtracted one counter from the left and one from the right sides.

Subtracted the last counter on the left side and one from the right sideSlide 19

Subtracted the last counter on the left side and one from the right side.

Modeling and solving two step equations through explorelearningSlide 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?

Check for understanding with a new problem model and solve the equation 3x 4 16Slide 26

Check 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


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