Question

m6|l3 reasoning about contexts with strip diagrams (part 2)
write an equation to represent the diagram.
6 + z \t\t\t6 + z \t\t\t6 + z
\t\t\t\t\t\t\t\t\t\t\t\t\t30
□ = □ + □ + □ + □ + □ + □
\t\t\t\t\t\t\t\t\t\t\t\t\t30\tz\t6

Explanation:

Step1: Sum the 3 equal terms

The strip diagram has 3 identical parts each equal to $6+z$, and their total is 30. So first expand the sum:
$$(6+z) + (6+z) + (6+z) = 30$$

Step2: Group like terms

Combine the constant terms and the variable terms separately:
$$6+6+6 + z+z+z = 30$$

Step3: Match to the given format

Rearrange to fit the required blank structure with 6 terms:
$$30 = 6 + 6 + 6 + z + z + z$$

Answer:

$30 = 6 + 6 + 6 + z + z + z$