Lesson 02: Keeping the Equation Balanced | Unit 4: Linear Equations and Linear Systems

Open Ended

Which of the changes keeps the hanger in balance? Select **all** that apply.

Multiple Choice

Here is a balanced hanger diagram. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and $$x$$ represents the weight of each square. Select **all** equations that represent a balanced hanger.

• 2.5 + 3 + x = 2x + 3

• 5 + 3x = 2x + 6

• 2.5x + 3 = 2x + 3

• 5 + 3 + x = 2x + 3

Multiple Choice

If a triangle weighs 4 grams, what is the weight of a square?

• Unknown
• 2 grams
• 8 grams
• 4 grams

Open Ended

Explain your reasoning for determining the weight of the square.