Question

Explain how you can tell if the expressions
7x – 4 and 6x – 4-x are equivalent using the interactive
tool.​

Answer 1

Answer:

Two expressions are equivalent only for x = 0

Step-by-step explanation:

7x – 4 and 6x – 4 - x

Those two expressions are not equivalent for all real numbers except "0"

7x – 4 ≠ 6x – 4 - x

7x - 4 ≠ 5x - 4

7(0) - 4 = 5(0) - 4 ⇔ - 4 = - 4

Answer 2

Answer:

Sample Response: Model the second expression using 6 positive x tiles, 4 negative tiles, and then one negative x tile. The negative x tile forms a zero pair with one of the positive x tiles, leaving 5 positive x tiles and 4 negative tiles. This is not equivalent to 7x – 4.