Question

help irene irene incorrectly matched these two cards. what could you say to convince irene that these cards dont match?

Explanation:

Step1: Analyze the tape diagram

The tape diagram has 4 sections, each labeled $x+2$. The total is 28, so the correct equation is the sum of these 4 sections:
$$(x+2)+(x+2)+(x+2)+(x+2)=28$$

Step2: Simplify the correct equation

Combine like terms: $4x + 8 = 28$

Step3: Compare to Irene's equation

Irene wrote $4x + 2 = 28$, which only adds a single 2 instead of 4 copies of 2.

Answer:

The tape diagram has 4 groups of $(x+2)$, so the correct equation is $4(x+2)=28$ or $4x+8=28$. Your equation $4x+2=28$ only adds one 2 instead of four 2s, so it does not match the diagram.