Exam 7: Review of Solving Equations

Solve the equation. x = __________

Find a system of inequalities describing the following problem. A store sells two brands of VCRs. Customer demand indicates that it is necessary to stock at least twice as many VCRs of brand A as of brand B. At least 20 of brand A and 15 of brand B must be on hand. There is room for not more than 110 VCRs in the store.

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

Solve the inequality.

Solve the equation.

Amtrak s annual passenger revenue for the years 1985-1995 is modeled approximately by the formula where R is the annual revenue in millions of dollars and x is the number of years since January 1, 1980 (Association of American Railroads, Washington, DC, Railroad Facts, Statistics of Railroads of Class 1, annual). In what years was the passenger revenue $722 million?

Solve the equation. If impossible, write no solution.

Solve the equation.

Solve the inequality for the indicated variable.

A woman owns a small, cash-only business in a state that requires her to charge 6% sales tax on each item she sells. At the beginning of the day, she has $250 in the cash register. At the end of the day, she has $1,098 in the register. How much money should she send to the state government for the sales tax she collected during the day? $__________

Solve the inequality and graph the solution set.

Solve the following system by the substitution method.

Solve the equation.

Graph the solution set for the system of linear inequalities.

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

Solve the equation. x = __________

Graph the solution set for the system of linear inequalities.

Solve the equation. If impossible, write no solution.

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.

Solve the equation.