Question

question
which sum or difference is modeled by the algebra tiles?
(algebra tiles image: 5 blue x tiles, 7 red -1 tiles)
select the correct answer.
○ (-2x + 3) + (3x - 4)
○ (-2x + 3) - (3x - 4)
○ (2x - 3) + (-3x + 4)
○ (2x - 3) - (-3x + 4)

Explanation:

Step1: Count x tiles

5 blue x tiles → \(5x\)

Step2: Count -1 tiles

7 red -1 tiles → \(-7\)

Step3: Simplify each option

Option1: \((-2x+3)+(3x-4)=x-1\)
Option2: \((-2x+3)-(3x-4)=-5x+7\)
Option3: \((2x-3)+(-3x+4)=-x+1\)
Option4: \((2x-3)-(-3x+4)=5x-7\)

Answer:

D. (2x - 3) - (-3x + 4)