Unit One: Operations with Integers

What is the product of 5 and 7?

True or False: The product of two negative integers is always negative.

Which of the following pairs of numbers have a product of 24?

Find the product of -2 and -10.

What is the product of 9, 3 and 2?

The Starbucks on Main Street is having a busy day. In the morning, they sold 27 lattes, 19 cappuccinos, and 34 frappuccinos. In the afternoon, they sold twice as many of each drink.

Calculate the total number of drinks sold for the entire day.

What is the quotient of 1254 and 33?

A new sleep tracking app measures sleep quality on a scale from −10 to 10, with negative numbers indicating poor sleep and positive numbers indicating good sleep. Over a 7-day period, Lucas's total sleep quality score was −21.

Assuming his sleep quality was consistent throughout the week, what was his average daily sleep quality score?

The number 12 is a factor of 144.

Identify the factors and non-factors of 36.

What are multiples of 12?

List all factors of 28.

Identify the multiples and factors of 12.

A vintage clothing store specializes in fashion from different decades. They have 18 items from the 1960s and 24 items from the 1980s. The store owner wants to create themed displays with an equal number of items from each era.

What is the largest number of displays they can create without having any items left over?

Hint: Investigate the common factors of 18 and 24 to determine the maximum number of displays possible.

What are the multiples of 7 less than 30?

18 is a multiple of 5.

Which are factors of 50?

A team of astrobiologists is studying a newly discovered moon of Jupiter. They've observed that a unique atmospheric phenomenon occurs every 2020 Earth hours on this moon.

If the team wants to schedule their observations based on multiples of 55 hours, what would be the first three time points (in hours) when they might witness this phenomenon?

Evaluate: 3 + 2(10 - 4)

Match expressions with their correct evaluations.

Solve:

The result of (3 + 4) x 2 is 14.

A mindfulness app developer is creating a new feature for teenagers. The app currently has 7 modules, each containing 3 basic exercises and (x) advanced exercises. If the total number of exercises in the app is 49, how many advanced exercises (x) are in each module?

Hint: Solve the equation 7(3 + x) = 49 to find the value of x.

Calculate: (5 + 3) x 2 - 4

What is the result of:

Solve:

Match the statement to its correct order of operation.