Use algebra tiles to determine if 2(x +3) is equivalent to 2x +3. Explain your answer thanks
2(x+3) = 2x+3
2x+6 = 2x+3
2x-2x = 3-6
0 = -3? No
can someone give an actual answer
To determine if 2(x + 3) is equivalent to 2x + 3 using algebra tiles, we can use the concept of distributive property. Algebra tiles are visual representations used to model algebraic expressions and equations.
First, let's represent the expression 2(x + 3) using algebra tiles. We'll start with the "x" tile, which is typically represented by a square tile. So, we have 2 "x" tiles.
Next, we have the "+" sign. This is represented by combining the "x" tiles by placing them side by side.
Then, we have the "3" term. Since it is a constant, it is represented by a small rectangular tile.
Now, let's count the number of tiles on both sides of the equation:
On the left side: We have 2 "x" tiles, each with a value of "x," and we also have 2 groups of the "3" tile, which gives us a total value of 6.
On the right side: We have 1 "x" tile with a value of "x" and 1 group of the "3" tile, which gives us a total value of 3.
Since the tile count on both sides is not equal (6 on the left and 3 on the right), we can conclude that 2(x + 3) is not equivalent to 2x + 3.
Furthermore, if we simplify the expression 2(x + 3) using the distributive property, we would get: 2(x + 3) = 2x + 6, instead of 2x + 3.