An equation is modeled below using algebra tiles. Which value of x makes the equation true?
A. x = 7 C. x = 13
B. x = -7 D. x = -13
The algebra tiles:
There is a large block with an "x." Next to it are 3 small blocks with "1" inside of it. Then there is an equal sign. Then there are 10 blocks with "1" inside of it again.
Can someone help me?
X = 7
Yes, I can help you with this question! Let's analyze the algebra tiles provided to find the value of x that makes the equation true.
In the equation, we have a large block with "x" representing the variable, followed by 3 small blocks with "1" inside them. This means that the variable x has a weight of 3.
On the other side of the equation, we have 10 blocks with "1" inside them. This represents the value we are trying to solve for.
To solve the equation, we need to find the value of x that makes the two sides equal. Since the large block with "x" has a weight of 3, we can determine that there should be 3 small blocks with "1" inside them on the other side as well.
Looking at the given options, we can see that only option C. x = 13 has a value of x that satisfies this condition. If x equals 13, then we would have three small blocks with "1" inside them on both sides of the equation, making the equation true.
Therefore, the correct answer is C. x = 13.
2.
An equation is modeled.
What value of x makes the equation true?