Problems of the diagnostic exam

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# Problems of the diagnostic exam
## Analytic Geometry
### Arturo Sánchez González
### <a href="mailto:arturo.sanchez@upaep.mx" class="email">arturo.sanchez@upaep.mx</a>
### August 2021

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# Problem 1

<span style="font-size:35px">Find the value of
`$$\color{blue}{\frac{1}{2} + \frac{3}{4} - \frac{4}{3}}.$$`
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# Problem 2

<span style="font-size:35px"> Solve for `$y$`:
`$$\color{green}{5y - 3 = -2}.$$`

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# Problem 3

<span style="font-size:35px"> Factor the following expression: `$$\color{darkred}{x^2 + 5x - 6}.$$`

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# Problem 4

<span style="font-size:30px"> Find the distance between the points `$\color{blue}{A(-1,2)}$` and `$\color{red}{B(3,-2)}$`. Draw these points in the Cartesian plane.

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# Problem 5

<span style="font-size:30px"> Find the area of the following figure.

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