CHAPTER 7 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the end of this book.

Solve by factoring: $2 x^{2} + 5 x = 12$ $2 x^{2} + 5 x = 12$
Solve by using the quadratic formula: $x^{2} = 3 x + 5$ $x^{2} = 3 x + 5$
Solve graphically using a calculator: $4 x^{2} - 5 x - 3 = 0$ $4 x^{2} - 5 x - 3 = 0$
Solve algebraically: $2 x^{2} - x = 6 - 2 x (3 - x)$ $2 x^{2} - x = 6 - 2 x (3 - x)$
Solve algebraically: $\frac{3}{x} - \frac{2}{x + 2} = 1$ $\frac{3}{x} - \frac{2}{x + 2} = 1$
Sketch the graph of $y = 2 x^{2} + 8 x + 5$ $y = 2 x^{2} + 8 x + 5$ using the extreme point and the y-intercept.
In electricity, the formula $P = E I - R I^{2}$ $P = E I - R I^{2}$ is used. Solve for I in terms of E, P, and R.
Solve by completing the square: $x^{2} = 6 x + 9$ $x^{2} = 6 x + 9$
The perimeter of a rectangular window is 8.4 m, and its area is $3.8 m^{2} .$ $3.8 m^{2} .$ Find its dimensions.
If $y = x^{2} - 8 x + 8,$ $y = x^{2} - 8 x + 8,$ sketch the graph using the vertex and any other useful points and find graphically the values of x for which $y = 0.$ $y = 0.$

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