Exam 7: Review of Solving Equations

Solve the equation. If impossible, write no solution.

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

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

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

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

Solve the equation. If impossible, write no solution.

Solve the equation. If impossible, write no solution.

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

One number is 3 more than twice another. The sum of the numbers is 12. Find the two numbers.

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

Solve the inequality and graph the solution.

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

Paul mixes nuts worth $1.45 per pound with oats worth $1.35 per pound to get 27 pounds of trail mix worth $1.40 per pound. How many pounds of nuts and how many pounds of oats did he use? __________ lbs nuts, __________ lbs oats

An airplane covers a distance of 1,200 miles in 3 hours when it flies with the wind and hours when it flies against the wind. What is the speed of the plane in still air? __________ miles per hour

In the following diagram of an electrical circuit, x , y , and z represent the amount of current (in amperes) flowing across the 10-ohm, 25-ohm, and 15-ohm resistors, respectively. The system of equations used to find the three currents, x , y , and z is Solve the system for all variables. __________ amp across the 10-ohm resistor __________ amp across the 25-ohm resistor __________ amp across the 15-ohm resistor

Solve the inequality for the indicated variable.

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

Solve the equation.

Solve the system.

Solve the equation.