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# Algebra Warmups

From cracking cryptograms to calculating the top speed of a rocket, algebra gives you tools to apply mathematical reasoning to a wide range of problems. Dive in and see what you already know!

If \(a = \sqrt b\) and \(a = 3\), what is the value of \(b\)?

How many digits does the number \(1000^{ 1000 }\) have?

Given that \(x\) is a real number such that \(x^2-4x+4=0\), find the value of \(x\).

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