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a. Write an equation to represent the nangei.
b. Explain how to reason with the hanger to find the value of
x.
Q. Explain how to reason with the equation to find the value of
x.
Andre says that
x is 7 because he can move the two 1 s with the
x to the other side.
Do you agree with Andre? Explain your reasoning.

a. Write an equation to represent the nangei. b. Explain how to reason with the hanger to find the value of $x$ . Q. Explain how to reason with the equation to find the value of $x$ . Andre says that $x$ is $7$ because he can move the two $1$ s with the $x$ to the other side. Do you agree with Andre? Explain your reasoning.

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Experimental probability

Full solution

Q. a. Write an equation to represent the nangei. b. Explain how to reason with the hanger to find the value of

x

. Q. Explain how to reason with the equation to find the value of

x

. Andre says that

x

is

7

because he can move the two

1

s with the

x

to the other side. Do you agree with Andre? Explain your reasoning.

Representing the Hanger: a. To represent the hanger, let's say we have an equation like $x + 1 + 1 = x + 9$ . This is because Andre is talking about moving two $1$ 's to the other side where there's an $x$ .
Balancing the Hanger: b. If we look at the hanger, we can think of it like a balance. To find $x$ , we need to make sure that what's on one side of the hanger is equal to the other side. So, we can subtract $1 + 1$ from both sides to isolate $x$ .
Subtracting to Isolate x: Q. Using the equation, we subtract $2$ (which is $1 + 1$ ) from both sides to keep the equation balanced. So, $x + 9 - 2 = x + 7$ . But wait, we still have $x$ on both sides, so let's subtract $x$ from both sides too.
Simplifying the Equation: Now we have $9 - 2 = 7$ , and on the other side, we have $x - x$ , which is $0$ . So, the equation simplifies to $7 = 0$ . This doesn't make sense, so Andre's reasoning must be wrong.

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