Understanding Expressions and Equations

Alex and George are playing a math game. Alex says, "I have 3² magic stones and George has 3³ magic stones. If we combine our magic stones, how many do we have in total using the order of operations?"

Alex and George are solving math puzzles. Can you help them find out which of the following is an equation?

Azul and George are having a math duel! Azul claims that the expressions $$2(3 + 4)$$ and $$2 \times 3 + 2 \times 4$$ are equivalent. George is skeptical. Can you help them determine if Azul is right?

Imagine Aaron and Miranda are playing a game where they rearrange numbers. Aaron says, "If I have $$a + b$$ , I can switch it to $$b + a$$ and it still means the same!" Which magical property of operations is Aaron using?

George and Miranda are playing a game where they need to find the prime factorization of numbers to unlock a treasure chest. What is the prime factorization of 36?

George and Azul are solving math puzzles. George says, "I have a number puzzle that doesn't have an equal sign!" Which of the following is George talking about?

Alex and Aaron are having a debate! Alex says the expressions $$4(x + 2)$$ and $$4x + 8$$ are equivalent. Aaron disagrees. Who do you think is right?

Azul and George are playing a math game. Azul says, "I bet you can't tell me which property is shown by this equation: $$3 \times (4 \times 5) = (3 \times 4) \times 5$$ ." Can you help George figure it out?

Azul and George are playing a math game. Azul challenges George to simplify the expression $$2^3 \times 2^2$$ . Can you help George find the answer?

Miranda and Aaron are solving puzzles. Which of the following is an equation that they found?