Practical Applications of Arithmetic Operations

This video tutorial covers various mathematical problems involving rational numbers, ratios, percentages, and expressions with negative numbers. It includes practical examples such as calculating coffee ratios, determining race times, computing sales tax, and comparing soap box sizes. The tutorial also explores ordering expressions and creating expressions with specific values, providing a comprehensive understanding of these mathematical concepts.

If a coffee maker's instructions say to use 2 tablespoons of coffee for every 6 ounces of water, how many tablespoons are needed for 18 ounces of water?

• 8 tablespoons

• 6 tablespoons

• 10 tablespoons

• 4 tablespoons

A runner takes 17.5 minutes to run 2.5 kilometers. How long will it take her to run 5 kilometers at the same pace?

• 35 minutes

• 25 minutes

• 30 minutes

• 40 minutes

If an ice cream cone costs $3.25 and the total cost with tax is $3.51, what is the sales tax rate?

• 8%

• 10%

• 6%

• 12%

What is the result of the expression: negative 22 plus 5?

• 17

• -17

• 27

• -27

Calculate the result of negative 22 minus negative 5.

• 17

• -17

• -27

• 27

What is the product of negative 22 times negative 5?

• -110

• 110

• -100

• 100

If a new box of soap holds 25% more than the old box and weighs 2 kg, how much did the old box weigh?

• 1.6 kg

• 1.5 kg

• 1.8 kg

• 1.4 kg

Order the following expressions from least to greatest if x is -1/4: x - 1, x, 1 - x, -1/x.

• x, x - 1, 1 - x, -1/x

• x - 1, x, -1/x, 1 - x

• x - 1, x, 1 - x, -1/x

• 1 - x, x, x - 1, -1/x

Which of the following expressions equals negative three-fourths using a sum?

• -1 + 1/4

• -3/4 + 1/4

• -1 + 3/4

• -1 - 1/4

Which expression involving division and subtraction results in negative three-fourths?

• 1/4 + 1

• 1 - 1/4

• 1 - 3/4

• 1/4 - 1