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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

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The table shows the pages Solander will read for homework over the next 16 days. How many pages will he read each night if he wants to read the same number of pages?

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Room 2

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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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Room 5

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Determine whether the equation is true or false. 2.5 + (6 × 2) = 16 − 1.5

Room 6

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Room 7

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What is the value of the variable? (147 ÷ 7) × 4 = t × 12

Choose the correct answer. Which algebraic expression can be used to describe the rule for the numerical pattern and variable? Pattern: 5, 10, 15, 20, … h = 10, 20, 30, 40, … a. 2h b. h − 5 c. h + 5 d. h ÷ 2

Room 8

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How could you use the rule and input to determine the missing output values?Choose the correct answer.

a. 16, 36, 46, 66 b. 60, 120, 180, 240 c. 30, 90, 120, 180 d. 60, 180, 240, 360

Look at the table. Rule: 6t

Room 9

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a. 900 = b × 50 + 6 × 30 b. (50 + 30) × (6 + b) = 900 c. 900 = 6 × 50 + b × 30 d. (6 + 50) × (b + 30) = 900 e. 900 − 6 × 50 = b × 30

Andrew packed 900 pounds of flower bulbs this week at work. By Tuesday, he packed 6 boxes that weighed 50 pounds each. The boxes he packed the rest of the week weighed 30 pounds each. Which equation can represent this situation? Choose all that apply.

Room 10

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Share this code with your teacher: Muggles Rule!

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