Exam 7: Review of Solving Equations

A garden is in the shape of a square with a perimeter of 34 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence, as the figure indicates. If the material used to build the two fences is $1.85 per foot, what was the total cost of the fences?

Write the continued inequality as a single inequality involving absolute value.

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

Graph the solution set for the system of linear inequalities.

Solve the inequality and graph the solution set.

Graph the solution set for the system of linear inequalities.

Graph the solution set for the system of linear inequalities.

A garden is in the shape of a square with a perimeter of 36 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence, as the figure indicates. If the material used to build the two fences is $1.84 per foot, what was the total cost of the fences? $__________

Find a system of inequalities describing the following problem. An office worker wants to purchase some $0.65 postage stamps and also some $0.75 postage stamps totaling no more than $30. It also is desired to have at least twice as many $0.65 stamps and more than 15 $0.65 stamps.

Solve the equation.

Solve the system.

Solve the inequality and graph the solution.

Solve the inequality and graph the solution.

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

Solve the equation.

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

Solve the inequality and graph the solution set.

Solve the system.

Solve the equation. If impossible, write no solution.

A person's training heart rate, in beats per minute, is the person's resting heart rate plus 60% of the difference between maximum heart rate and their resting heart rate. If resting heart rate is R and maximum heart rate is M , then the formula that gives training heart rate is T = R + 0.6( M - R ) In exercise physiology, a person's maximum heart rate, in beats per minute, is found by subtracting his age in years from 220. So, if A represents your age in years, then your maximum heart rate is M = 220 - A Use these formulas to find training heart rate for a 28-year-old person with resting heart rate of 64 beats per minute.