Inequalities and Sales Tax Concepts

The video tutorial covers solving inequalities, calculating sales tax, determining markup percentages, and computing total pay with commission. It begins with understanding inequalities through Priya's example, followed by solving a store inventory problem using inequalities. The tutorial then explains graphing inequalities on a number line. It proceeds to calculate sales tax on a shirt, determine the markup percentage on a helmet, and finally, compute total pay for a worker with hourly wage and commission.

What does Priya want when she subtracts a number from 12?

• A result equal to 5

• A result of exactly 12

• A result smaller than 5

• A result greater than 5

Why should the values of x be smaller in Priya's inequality problem?

• To make the result zero

• To make the result negative

• To keep the result greater than 5

• To make the result equal to 12

In the store's inequality, what does the three-fifths represent?

• Shirts sold

• Shirts on display that didn't sell

• Total shirts in stock

• Shirts brought from the stockroom

What is the solution to the store's inequality problem?

• x is less than or equal to 150

• x is greater than or equal to 200

• x is equal to 150

• x is less than 200

What is the first step in solving the inequality in the third section?

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the final solution for the inequality in the third section?

• x is greater than 5

• x is greater than or equal to 5

• x is less than or equal to 5

• x is equal to 5

How is the sales tax calculated for the shirt?

• By adding 5% to the price

• By multiplying the price by 2

• By adding 7.5% to the price

• By subtracting 7.5% from the price

What is the final price of the shirt including sales tax?

• $14.00

• $13.52

• $13.00

• $12.58

What is the markup percentage on the helmet?

• 100%

• 75%

• 66%

• 50%

How much does a worker earn in total for 18 hours of work and $250 in sales?

• $256.50

• $270.25

• $350.00

• $300.00