Lesson 07: Reasoning About Solving Equations (Part 1) | Unit 6: Expressions, Equations, and Inequalities

Open Ended

Explain how the parts of the balanced hanger diagram compare to the parts of the equation $$7=2x+3$$ .

Multiple Choice

For the hanger diagram shown, which equation represents the relationship?

• 4X = 15
• 3X = 10
• 5X = 17
• 6X = 20

Draw

For the hanger diagram shown, draw more hanger diagrams or describe how you would change the given diagram to show each step you would take to find the value of $$x$$ . Explain your reasoning.

Open Ended

For the hanger diagram shown, write an equation to represent each hanger diagram you drew or each change you would make to the given diagram. Explain how each equation matches its diagram.

Multiple Choice

What is the value of $$a$$ in the equation: $$\frac{1}{7}a+\frac{3}{4}=\frac{9}{8}$$ ?

• rac{3}{8}
• \frac{21}{8}
• rac{15}{8}
• 1

Multiple Choice

Solve the equation: $$\frac23+\frac15b=\frac56$$ .

• rac{1}{2}
• rac{3}{4}
• \frac{5}{6}
• 1

Multiple Choice

What is the value of $$c$$ in the equation: $$\frac32=\frac43c+\frac23$$ ?

• \frac{5}{8}
• rac{1}{2}
• rac{3}{4}
• 1

Multiple Choice

Solve the equation: 0.3d+7.9=9.1.

• 4
• 6
• 5
• 3

Multiple Choice

What is the value of e in the equation: 11.03=8.78+0.02e?

• 100.5
• 90.2
• 120.0
• 112.5