On the left side of a line, there are 2 rectangles, each labeled x, and 7 squares, each labeled negative 1. On the right side of the line, there are 3 squares, each labeled 1.

Question

The algebra tiles represent an equation.

What is the solution to the equation?

(1 point)
Responses

x=−2
x equals negative 2

x=10
x equals 10

x=2
x equals 2

x=5

Answer 1

To solve the equation represented by the algebra tiles, we first interpret the tiles on both sides of the line.

On the left side:

• There are 2 rectangles labeled $x$, which represents $2x$.
• There are 7 squares labeled $-1$, which represents $-7$.

Combining these, the left side translates to: $$2x-7$$

On the right side:

• There are 3 squares labeled $1$, which represents $3$.

Setting the left side equal to the right side gives us the equation: $$2x-7=3$$

Now, we can solve for $x$:

1. Add 7 to both sides: $$2x-7+7=3+7$$ $$2x=10$$

2. Divide both sides by 2: $$x=\frac{10}{2}$$ $$x=5$$

Therefore, the solution to the equation is: $$x=5$$

So the correct response is: x=5