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 equation.

Solve the system.

Solve the equation. If impossible, write no solution .

Solve the equation.

Graph the solution set for the system of linear inequalities.

Solve the equation.

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

A total of 875 tickets were sold for a game for a total of $1,325. If adult tickets sold for $3.00 and children's tickets sold for $1.00, how many of each kind of ticket were sold? __________ adult and __________ children's tickets

Paul mixes nuts worth $1.40 per pound with oats worth $1.30 per pound to get 27 pounds of trail mix worth $1.35 per pound. How many pounds of nuts and how many pounds of oats did he use?

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 40 of brand A and 10 of brand B must be on hand. There is room for not more than 80 VCRs in the store.

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

Solve the system.

Solve the equation.

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

Solve the equation. x = __________

Solve the equation. If impossible, write no solution.

Solve the equation. If there is more than one solution, separate your answers with commas. If there is no solution, enter no solution . If the answer is all real numbers, enter all reals . x = __________

A total of 920 tickets were sold for a game for a total of $3,880. If adult tickets sold for $5.00 and children's tickets sold for $4.00, how many of each kind of ticket were sold?