Hanger Balance Equations

Multiple Choice

x + 9 = 13 if x = 4

• yes

• no

Multiple Choice

x - 9 = 16 if x = 7

• yes

• no

Multiple Choice

7x = 84 if x= 14

• yes

• no

Multiple Choice

y + 25 = 128 if x=103

• yes

• no

Multiple Choice

42/x = 7 if x=7

• yes

• no

Multiple Choice

112 - y = 106 if x=6

• yes

• no

Multiple Choice

45y=135

if y = 3

• yes

• no

Multiple Choice

29z = 232

if z=8

• yes

• no

Multiple Choice

45 + r = 72

if r = 26

• yes

• no

Multiple Choice

144/y = 6

if y = 24

• yes

• no

Multiple Choice

3.6= 1.2c

if c = 3

• yes

• no

Multiple Choice

66y= 132

if y = 3

• no

• yes

Multiple Choice

67 - y = 16

if y =52

• yes

• no

Multiple Choice

9t = 65 if t=13

• yes

• no

Multiple Choice

12 + 7 + f = 23

If f=4

• yes

• no

Multiple Choice

What equation represents this hanger diagram?

• 7 = 3w -1

• 7 + 3w - 1

• 7 = 3w + 1

• 1 = 3w + 7

Multiple Choice

What equation represents this hanger diagram?

• 2z + 3 = 5

• 2x + 3 = 5

• 5 = 3 - 2w

• 31y + 10 = 2

Multiple Choice

What equation represents this hanger diagram?

• 3w + 2 = 3

• 3y + 2 = 3

• 3x + 2 = 3

• 3q + 2 = 3

Multiple Choice

What equation represents this hanger diagram?

• 6 = 2w + 3

• 6 = 3 + 2e

• 3 = 6 + 2t

• 6 = 2y + 3

Multiple Choice

What equation represents this hanger diagram?

• 7 = 3e + 1

• 7 = 3t + 1

• 7 = 3x + 1

• 7 = 3p + 1

Multiple Choice

What equation represents this hanger diagram?

• 2y + 10 = 31

• 2w + 10 = 31

• 2e + 10 = 31

• 2m + 10 = 31

Multiple Choice

What equation represents this hanger diagram?

• 6.8 = 2q + 2.2

• 6.8 = 2q - 2.2

• 6.8 = 2z + 2.2

• 6.8 = 2z - 2.2

Multiple Choice

What equation represents this hanger diagram?

• 4e - 3/2 = 17/2

• 4y - 3/2 = 8.5

• 4w + 1.5 = 8.5

• 4y - 1.5 = 10.5

equations and hanger diagrams

Let's practice using hanger diagrams to identify equations.

Poll

What does the first side need to equal in order to balance this diagram?

• 11

• 8

• 3

Multiple Choice

Yes, 8! In an equation one side must equal the other.

If we add, what will the equation look like?

• x + 3 = 8

• 8 + 3 = x

Poll

How do we figure out how much x is worth?

• add 3 to 8

• subtract 3 from 8

Poll

Yes, we subtract 3 from 8.

So what does x equal?

• 11

• 5

Poll

Let's do another one.

This time we have a variable.

What is the variable in this diagram?

• x

• 12

• y

Poll

Yes, y is the variable. Since we have it 2 times how would we write the the right side of the diagram?

• y - y

• 2y

Poll

Yes, 2y.

So, how shall we write the equation?

• 12 = 2 + y

• 12 = 2y

Poll

If 12 = 2y, what operation do we use to solve the equation?

• multiply

• divide

Poll

Yes, we divide 12 by 2.

What is y equal to?

• 6

• 2

Multiple Choice

Now you try. What equation does this diagram represent?

• 5 + m = 50

• 5m = 50

Multiple Choice

Correct 5m = 50.

How will you solve for m?

• divide 50 by 5

• multiply 50 by 5

Open Ended

Yes, divide!

What does m equal?