Lesson 03: Reasoning About Contexts with Tape Diagrams (Part 2) | Unit 6: Expressions, Equations, and Inequalities

Draw

Draw a tape diagram to match the equation $$5(x+1)=20$$ .

Draw

Draw a tape diagram to match the equation $$5x+1=20$$ .

Multiple Select

Select **all** the equations that match the tape diagram.

• $$35=8+x+x+x+x+x+x$$

• $$35=8+6x$$

• $$6x+8=35$$

• $$35-8=6x$$

• $$6+8x=35$$

Open Ended

The diagram can be represented by the equation $$25=2+6x$$ . Explain where you can see the 6 in the diagram.

Multiple Choice

What value for $$x$$ can be found using the diagram?

• 40
• 48
• 32
• 24

Draw

Show how to fix Clare’s diagram to correctly match the equation $$2x+16=50$$ .

Multiple Choice

What is the correct value for $$x$$ in the diagram?

• 12
• 24
• 32
• 40

Open Ended

Explain the mistake Clare made when she drew her diagram.

Multiple Choice

Select all the equations that represent the diagram.

• $$x+5=18$$

• $$18\div3=x+5$$

• $$3(x+5)=18$$

• $$x+5=\frac{1}{3}\cdot18$$

• $$3x+5=18$$

Multiple Choice

Which equation represents the tape diagram?

• 19 + 5x = 30
• 19 + 5x = 40
• 20 + 5x = 40
• 19 + 4x = 40