Solving One Step Inequalities: Multiplication and Division

This video tutorial covers solving one-step inequalities using multiplication and division. It explains the importance of inverse operations, such as dividing when a variable is multiplied, and vice versa. The tutorial emphasizes the need to flip the inequality sign when dividing by a negative number. Several examples are provided, including solving inequalities with negative numbers, fractions, and real-world word problems. The video also demonstrates how to check solutions and graph the results.

What operation is considered the inverse of multiplication?

• Subtraction

• Addition

• Division

• Exponentiation

When dividing by a negative number, what must you do to the inequality sign?

• Multiply it

• Reverse it

• Keep it the same

• Remove it

What is the result of dividing -33 by -3?

• 9

• 11

• -11

• -9

If x is divided by 8, which operation should be used to isolate x?

• Add 8

• Multiply by 8

• Divide by 8

• Subtract 8

What is the correct graph representation for x is greater than or equal to -6?

• Closed circle on 6

• Closed circle on -6

• Open circle on -6

• Open circle on 6

How do you check if an inequality solution is correct?

• Both A and B

• Substitute the solution into the original equation

• None of the above

• Graph the solution

What is the solution to the inequality 72 < x/4?

• x < 18

• x < 288

• x > 288

• x > 18

What is the result of multiplying -15 by 2?

• 7.5

• -7.5

• 30

• -30

In the context of the word problem, if Sherlock has 10 bags of dog treats that expire in 14 months, what is the minimum number of bags he can consume per month to finish them?

• 1.4 bags

• 2 bags

• 10 bags

• 14 bags

For Caden to meet her clarinet practice goal of 400 minutes in 6 weeks, how many minutes must she practice each week at least?

• 70 minutes

• 60 minutes

• 66.6 minutes

• 100 minutes