Exam 1: Solving Linear Equations and Inequalities

Solve. -In a local election, 36,100 people voted. This was a decrease of 13% less than the last election. How many people voted in the last election? Round your answer to the nearest whole number of people.

Solve using the addition and multiplication principles together. -28 = 7x - 7

Solve. -The difference between two positive integers is 20. One integer is three times as great as the other. Find the integers.

Solve and graph. -

Determine whether it is true or false that the given number is a solution of the equation. --3; 3x = -12.

Graph and write interval notation. -

Solve. -At the end of the day, a storekeeper had $1498 in the cash register, counting both the sale of goods and the sales tax of 7%. Find the amount that is the tax.

Solve. -

Solve using the addition and multiplication principles together. -6(x + 2)- (6x + 12)= 0

Solve. -

Solve. -Midtown Antiques collects 5% sales tax on all sales. If total sales including tax are $1808.58, find the portion that is the tax. Round your answer to the nearest cent.

Solve. -

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. -

Solve using the addition and multiplication principles together. -

Solve. -After receiving a discount of 13.5% on its bulk order of toner cartridges, John's Office Supply pays $6574. What was the price of the order before the discount?

Solve using the addition and multiplication principles together. -4(4x - 1)= 16

Solve. -A plane climbs from an altitude of 14,000 ft to a cruising altitude of 35,000 ft. The plane ascends at a rate of 10,500 ft/min. How long will it take to reach cruising altitude?

Solve. -

Solve the compound inequality. Express the solution using interval notation. Graph the solution set. -

Solve. -