Exam 7: Review of Solving Equations

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For the figure below, find a system of inequalities that describes the shaded region. For the figure below, find a system of inequalities that describes the shaded region.

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Graph the solution set for the system of linear inequalities. Graph the solution set for the system of linear inequalities.

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Solve the equation. Solve the equation.

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The following temperature range is in degrees Fahrenheit. Use the formula The following temperature range is in degrees Fahrenheit. Use the formula   to find the corresponding temperature range in degrees Celsius.  to find the corresponding temperature range in degrees Celsius. The following temperature range is in degrees Fahrenheit. Use the formula   to find the corresponding temperature range in degrees Celsius.

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Solve the equation. Solve the equation.

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Solve the system. Solve the system.   If the system is dependent or inconsistent, indicate this. If the system is dependent or inconsistent, indicate this.

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Solve the inequality using the definition of absolute value. If impossible, write no solution . Solve the inequality using the definition of absolute value. If impossible, write no solution .

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Solve the equation. Solve the equation.

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Solve the equation. If impossible, write no solution. Solve the equation. If impossible, write no solution.

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Simplify each side first, then solve the inequality. Write your answer with interval notation. Simplify each side first, then solve the inequality. Write your answer with interval notation.

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Solve the inequality and graph the solution. Solve the inequality and graph the solution.

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Solve the following system by the addition method. Solve the following system by the addition method.

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Given the graph of the following equations. Find the solution of the system of these equations. Given the graph of the following equations. Find the solution of the system of these equations.     If the system is dependent or inconsistent, indicate this.  Given the graph of the following equations. Find the solution of the system of these equations.     If the system is dependent or inconsistent, indicate this.  If the system is dependent or inconsistent, indicate this. Given the graph of the following equations. Find the solution of the system of these equations.     If the system is dependent or inconsistent, indicate this.

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Solve the inequality and graph the solution. Solve the inequality and graph the solution.

(Multiple Choice)
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Solve the inequality and graph the solution set. Solve the inequality and graph the solution set.

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When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength, When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength,   , (in nanometers) of some common colors are: Blue:   Green:   Yellow:   Orange:   Red:     When a fireworks display made of copper is burned, it lets out light with wavelengths,   , that satisfy the relationship   . Write this inequality without absolute values; find the range of possible values for   ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display. , (in nanometers) of some common colors are: Blue: When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength,   , (in nanometers) of some common colors are: Blue:   Green:   Yellow:   Orange:   Red:     When a fireworks display made of copper is burned, it lets out light with wavelengths,   , that satisfy the relationship   . Write this inequality without absolute values; find the range of possible values for   ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display. Green: When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength,   , (in nanometers) of some common colors are: Blue:   Green:   Yellow:   Orange:   Red:     When a fireworks display made of copper is burned, it lets out light with wavelengths,   , that satisfy the relationship   . Write this inequality without absolute values; find the range of possible values for   ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display. Yellow: When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength,   , (in nanometers) of some common colors are: Blue:   Green:   Yellow:   Orange:   Red:     When a fireworks display made of copper is burned, it lets out light with wavelengths,   , that satisfy the relationship   . Write this inequality without absolute values; find the range of possible values for   ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display. Orange: When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength,   , (in nanometers) of some common colors are: Blue:   Green:   Yellow:   Orange:   Red:     When a fireworks display made of copper is burned, it lets out light with wavelengths,   , that satisfy the relationship   . Write this inequality without absolute values; find the range of possible values for   ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display. Red: When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength,   , (in nanometers) of some common colors are: Blue:   Green:   Yellow:   Orange:   Red:     When a fireworks display made of copper is burned, it lets out light with wavelengths,   , that satisfy the relationship   . Write this inequality without absolute values; find the range of possible values for   ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display. When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength,   , (in nanometers) of some common colors are: Blue:   Green:   Yellow:   Orange:   Red:     When a fireworks display made of copper is burned, it lets out light with wavelengths,   , that satisfy the relationship   . Write this inequality without absolute values; find the range of possible values for   ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display. When a fireworks display made of copper is burned, it lets out light with wavelengths, When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength,   , (in nanometers) of some common colors are: Blue:   Green:   Yellow:   Orange:   Red:     When a fireworks display made of copper is burned, it lets out light with wavelengths,   , that satisfy the relationship   . Write this inequality without absolute values; find the range of possible values for   ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display. , that satisfy the relationship When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength,   , (in nanometers) of some common colors are: Blue:   Green:   Yellow:   Orange:   Red:     When a fireworks display made of copper is burned, it lets out light with wavelengths,   , that satisfy the relationship   . Write this inequality without absolute values; find the range of possible values for   ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display. . Write this inequality without absolute values; find the range of possible values for When white light from the sun passes through a prism, it is broken down into bands of light that form colors. The wavelength,   , (in nanometers) of some common colors are: Blue:   Green:   Yellow:   Orange:   Red:     When a fireworks display made of copper is burned, it lets out light with wavelengths,   , that satisfy the relationship   . Write this inequality without absolute values; find the range of possible values for   ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display. ; and then, using the preceding list of wavelengths, determine the color of that copper fireworks display.

(Multiple Choice)
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Solve the following system by the addition method. Solve the following system by the addition method.   If the system is dependent or inconsistent, indicate this. If the system is dependent or inconsistent, indicate this.

(Short Answer)
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Graph the solution set for the system of linear inequalities. Graph the solution set for the system of linear inequalities.

(Multiple Choice)
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Solve the system. Solve the system.   If the system is dependent or inconsistent, indicate this. If the system is dependent or inconsistent, indicate this.

(Short Answer)
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Simplify each side first, then solve the inequality. Write your answer using interval notation. Simplify each side first, then solve the inequality. Write your answer using interval notation.

(Short Answer)
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