Exam 7: Review of Solving Equations

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

Solve the equation. If impossible, write no solution.

Solve the system.

Solve the equation. If impossible, write no solution.

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 . Using the preceding list of wavelengths, determine the color of that copper fireworks display.

Solve the system.

Solve the system.

A student has money in three accounts that pay 3%, 7%, and 8% in annual interest. She has three times as much invested at 8% as she does at 3%. If the total amount she has invested is $1,100 and her interest for the year comes to $75, how much money does she have in each account? $__________ at 3%, $__________ at 7%, $__________ at 8%

Solve the inequality and graph the solution set.

Graph the solution set for the system of linear inequalities.

Write as a single inequality involving absolute value. If impossible, write no solution .

Solve the inequality and graph the solution.

Solve the system.

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

Given the graph of the following equations. Find the solution of the system of these equations.

Solve the equation.

Solve the following system by the addition method.

In the following diagram of an electrical circuit, x , y , and z represent the amount of current (in amperes) flowing across the 5-ohm, 20-ohm, and 10-ohm resistors, respectively. The system of equations used to find the three currents, x , y , and z is

Solve the inequality and graph the solution.

Solve the following system by the addition method.