Understanding One-Step Inequalities

When solving an inequality, why is it important to perform the same operation on both sides?

• To keep the equation balanced

• To change the variable

• To make the equation more complex

• To eliminate the variable

What is the inverse operation of multiplication in the context of solving inequalities?

• Multiplication

• Subtraction

• Addition

• Division

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

• Keep it the same

• Multiply it

• Remove it

• Flip it

If x is multiplied by -3 and the result is less than -33, what is x?

• Equal to 11

• Greater than 11

• Less than -11

• Less than 11

To solve an inequality where x is divided by 8, what operation should you perform?

• Subtract 8

• Add 8

• Multiply by 8

• Divide by 8

What is the result of dividing -160 by 8?

• 20

• -40

• 40

• -20

What is the correct solution when x is being multiplied by 4 and the result is greater than or equal to -24?

• x is greater than -6

• x is equal to -6

• x is less than or equal to -6

• x is greater than or equal to -6

If x is divided by 2 and the result is greater than or equal to -32, what operation do you perform to solve for x?

• Add 2

• Subtract 2

• Multiply by 2

• Divide by 2

In the context of the word problem involving Sherlock and dog treats, if he has 10 bags and they expire in 14 months, how many bags can he eat per month to finish them?

• More than 2 bags

• Exactly 10 bags

• At least 1.4 bags

• Less than 1 bag

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

• At least 66.6 minutes

• Exactly 60 minutes

• More than 70 minutes

• Less than 65 minutes