Question

Use algebra tiles to solve 3x + 1 = 10. What does x equal?

A) 2
B) 3
C) 4
D) 5

Answer 1

To solve the equation 3x + 1 = 10 using algebra tiles, combine the x-tiles and unit tiles to create a balance. Isolate the x-tiles on one side of the balance, remove the unit tile from both sides, and divide both sides by 3 to find that x is equal to 3.

Step-by-step explanation:

To solve the equation 3x + 1 = 10 using algebra tiles, we can represent 3x as three x-tiles and 1 as one positive unit tile. We can then combine the x-tiles and unit tiles to create a balance. Since we want to find the value of x, we need to isolate the x-tiles on one side of the balance. By removing the unit tile from both sides, we end up with 3x = 9. Dividing both sides by 3, we find that x is equal to 3

Therefore, x equals 3, which corresponds to option B).