Lesson 03: Staying in Balance | Unit 6: Expressions and Equations

Multiple Choice

Select **all** the equations that represent the hanger diagram.

• x+x+x = 1+1+1+1+1+1

• $$x\cdot x\cdot x=6$$

• 3x = 6

• x + 3 = 6

• $$x\cdot x\cdot x=1\cdot1\cdot1\cdot1\cdot1\cdot1$$

Multiple Choice

What equation represents the hanger diagram?

• X/2 = 4
• 2X = 3
• 3X - 2 = 1
• X + Y = 5

Multiple Choice

What equation represents the hanger diagram?

• W = (1.3 * d1 + 2.7 * d2) / d
• W = (1.0 * d1 + 3.0 * d2) / d
• W = (1.5 * d1 + 2.5 * d2) / d
• W = (2.0 * d1 + 2.0 * d2) / d

Multiple Choice

Which equation represents the hanger diagram?

• y = 1.7
• 4y = 10.2
• 2y = 4.2
• 3y = 5.1

Multiple Choice

What is the equation represented by the hanger diagram?

• z = 1/2
• z = 1/4
• z = 1/6
• z = 1/3

Multiple Choice

What equation represents the hanger diagram?

• 3X = 14.62
• X + Y = 14.62
• 2X + 5 = 14.62
• 2X = 14.62

Open Ended

Explain how to reason with the diagram or the equation to find the value of $$x$$ .

Open Ended

Andre says that $$x$$ is 7 in this hanger diagram because he can move the two 1s from the side with the $$x$$ to the other side. Do you agree with Andre? Explain your reasoning.