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Escape from Hogwarts

5th Grade - Algebraic Reasoning

Unlock Door 1

Solve each problem. Then, use the answer to unlock the next question. Make sure you use all lowercase letters!When you're ready, use the password hogwarts to unlock door 1.

You'll have to crack the code to escape from Hogwarts!

Room 1

*Type your answer to unlock the next question.

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What is the value of the expression (4 x 5) + (10 x 30)

*Type your answer to unlock the next question.

Room 2

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An expression is shown. (7 - 3) x (2 + 6) + 3What is the value of the expression?

What is the value of the expression

Room 3

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a. five more than the product of 8 and 3, minus 2 b. three times 5 plus 8, minus 2 c. the product of 5 plus 8, and 3 minus 2 d. five more than the product of 8 and the difference of 3 and 2

Part B. Which statement uses words to represent "5 + 8 x 3 - 2"?

This question has two parts.A mathematical statement can be represented using numbers, symbols, and words. Part A. Which expression uses numbers and symbols to represent the statement "subtract 6 from 11, double the difference, and then add three-fourths"?

Room 4

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Which expression is equivalent to "divide 24 by the difference of 8 and 2"a. 24 ÷ 8 - 2b. 24 ÷ (8 - 2)c. 24 ÷ 2 - 8d. 24 ÷ (2 - 8)

Room 5

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What is the first number in Marlando's pattern that also appears in Jill's pattern?

  • Jill uses the rule "multiply by 3" and starts at 3.
  • Marlando uses the rule "add 6" and starts at 15.

Room 6

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Jill and Marlando are creating patterns.

Room 7

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Meg and Theo each thought of 5 numbers. Meg's first number was 0, and so was Theo's. Meg added 2 each time to get her other numbers, and Theo added 4 each time. Which statement correctly compares Theo and Meg's numbers?

What is the first number in Wayne's pattern that also appears in Hillary's pattern?

  • Wayne uses the rule "multiply by 3" and starts at 4.
  • Hillary uses the rule "add 11" and starts at 14.

Wayne and Hillary are creating patterns.

Room 8

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  • x-coordinate: Start with 4 and add 4 to each term.
  • y-coordinate: Start with 4 and multiply each term by 2.

a. (4, 4), (8, 8), (12, 16)b. (4, 4), (8, 8), (16, 16)c. (4, 4), (6, 16), (8, 64)d. (4, 4), (8, 6), (12, 8)

Which set of coordinates follows these two rules?

Room 9

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Look at the expression below. Choose Yes or No to tell whether each statement is a correct interpretation of the expression.

Room 10

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Share this code with your teacher: Muggles Rule!

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You unlocked all the doors and made it out of Hogwarts!

Congratulations!