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Escape from Hogwarts

Start

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

Solve each problem. Then, use the answer to unlock the next question. Make sure you use all lowercase letters!

Unlock Door 1

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 1

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Room 2

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Room 3

What is the value of the expression

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Room 4

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"?

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

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

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Room 5

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Room 6

Determine whether the equation is true or false.

2.5 + (6 × 2) = 16 − 1.5

What is the value of the variable?

(147 ÷ 7) × 4 = t × 12

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Room 7

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Room 8

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

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Room 9

Look at the table.

Rule: 6t

a. 16, 36, 46, 66

b. 60, 120, 180, 240
c. 30, 90, 120, 180
d. 60, 180, 240, 360

How could you use the rule and input to determine the missing output values?

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Room 10

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.

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

Congratulations!

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

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