Question

The model below represents 2 x + 1 = negative x + 4. 2 green long tiles and 1 green square tile = 1 long red tile and 4 square green tiles What is the value of x when solving the equation 2 x + 1 = negative x + 4 using the algebra tiles? x = negative 3 x = negative 1 x = 1 x = 3

Answer 1

The model you described is a mathematical representation using algebra tiles, and it represents the equation 2x + 1 = -x + 4.

Explanation:

To solve this equation for x, we need to isolate x on one side of the equation by using the operations of algebra (such as addition, subtraction, multiplication, and division).

In this case, we can start by adding x to both sides:

2x + 1 + x = -x + 4 + x

This gives us:

3x + 1 = 4

The next step would be to subtract 1 from both sides:

3x = 3

then we divide both sides by 3

x = 1

So x=1 is the solution.

The algebra tiles help to visualize the manipulation of equations, but the actual solving process is algebraic manipulation of the equation.