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CHAPTER 17 PRACTICE TEST

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

State conditions on x and y in terms of inequalities if the point (x, y) is in the second quadrant.

In Problems 2–7, solve the given inequalities algebraically and graph each solution.

$\frac{- x}{2} \geq 3$ $\frac{- x}{2} \geq 3$
$3 x + 1 < - 5$ $3 x + 1 < - 5$
$- 1 < 1 - 2 x < 5$ $- 1 < 1 - 2 x < 5$
$\frac{x^{2} + x}{x - 2} \leq 0$ $\frac{x^{2} + x}{x - 2} \leq 0$
$| 2 x + 1 | \geq 3$ $| 2 x + 1 | \geq 3$
$| 2 - 3 x | < 8$ $| 2 - 3 x | < 8$
Sketch the region in which the points satisfy the following system of inequalities:

$\begin{array}{l} y < x^{2} \\ y \geq x + 1 \end{array}$ $\begin{array}{l} y < x^{2} \\ y \geq x + 1 \end{array}$
Determine the values of x for which $\sqrt{x^{2} - x - 6}$ $\sqrt{x^{2} - x - 6}$ represents a real number.
The length of a rectangular lot is 20 m more than its width. If the area is to be at least $4800 m^{2},$ $4800 m^{2},$ what values may the width be?
Type A wire costs $0.10 per foot, and type B wire costs $0.20 per foot. Use a graph to show the possible combinations of lengths of wire that can be purchased for less than $5.00.
The range of the visible spectrum in terms of the wavelength $λ$ $λ$ of light ranges from about $λ = 400 nm$ $λ = 400 nm$ (violet) to about $λ = 700 nm$ $λ = 700 nm$ (red). Express these values using an inequality with absolute values.
Solve the inequality $x^{2} > 12 - x$ $x^{2} > 12 - x$ on a graphing calculator such that the display is the graph of the solution.
By using linear programming, find the maximum value of the objective function $P = 5 x + 3 y$ $P = 5 x + 3 y$ subject to the following constraints: $x \geq 0, y \geq 0, 2 x + 3 y \leq 12, 4 x + y \leq 8.$ $x \geq 0, y \geq 0, 2 x + 3 y \leq 12, 4 x + y \leq 8.$

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Table of Contents for CHAPTER 17 PRACTICE TEST

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Table of Contents for
CHAPTER 17 PRACTICE TEST