Slide 1 Modeling and Solving Two-Step Equationsthrough explorelearning.com

SEVENTH GRADE MATH

Moving Straight Ahead

Investigation 4.2

Slide 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

Slide 3 c.Drag the correct number of cups and counters to the left side of the equal sign

Slide 9 ### c. Drag the correct number of cups and counters to the left side of the equal sign.

Slide 15 ### d.Click the “Check button” to make sure you have the correct model.

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

Slide 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?

Slide 18 ### Subtracted one counter from the left and one from the right sides.

Slide 19 ### Subtracted the last counter on the left side and one from the right side.

Slide 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?

Slide 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