Combining Like Terms
Distributive Property
Bar Models and Hanger Diagrams
Solve Multiplication and Division Equations
Solve Addition and Subtraction Equations
100

12g - 5

12g - 5

100

2(2x + 4)

4x + 8

100

Draw a bar model that shows 

8 + 2 =10

bar broken into 2 parts - one part is worth 8 and one part is worth 2. 

100

2x = 8 

x = 4

100

2 + x = 6

x = 4

200

x + x + x + b +b 

3x + 2b

200
12 (14 + 6n)

168 + 72n

200

Draw a bar model that shows 10 + x = 15 

bar model has 2 parts. One part is worth 10 and another is worth x. 

200

5x = 15

x = 3

200
x + x + 4 = 10

x = 3

300

12f + 3f + 4x - 2x

15f + 2x

300

1/2 (4x + 2)

2x + 1

300

Draw a hanger model to show b + 5 = 12 

model must be balanced.

300

3g = 51

g = 17

300

21 - f = 13

f = 8

400

5 + 10 + 2g + 2e + 4g - e 

15 + 6g + e

400

5 (4 + 4x - 2x) 

20 + 10x

400

Draw a hanger diagram that shows 2x + 5 = 13

hanger diagram must be balanced

400

10f = 120

f = 12

400

10 + b - 5 = 24 

b = 19

500

12y - 10y + 3x + 4 + 5x 

2y + 8x + 4

500

3 + 2.25(m - 1) 

3 + 2.25m - 2.25

0.75 + 2.25m

500

Draw a model to show x + x + x = 12

models may vary


500

1/2 b = 6

b = 12

500

f + 18 - 20 = 25

f = 27