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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!

Which of the following is equal to the expression above?

What is the value of

\[ \large \sqrt{ ( \color{red} {- 8} ) ^ 2 } \hspace{.15cm} ? \]

\[ \large \sqrt{\color{purple}{99} \times \color{purple}{99}+\color{green}{199}} = \ \color{red} ? \]

**Note**: There is a clever way to solve this problem without computing \( 99^2 \).

\[ \Large \sqrt{ {\color{red} { 7}} \times \color{blue} {x} } = \color{green} {49 } \]

Solve for \(x\).

\[ \sqrt{ \frac{ 1 } { x } } = 8, \ \ \ \ \ x = \ ? \]

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