Understanding One-Step Inequalities

What is the primary goal when solving one-step inequalities?

• To graph the inequality

• To identify the variable

• To isolate the variable

• To perform the inverse operation

What is the inverse operation of addition?

• Multiplication

• Division

• Subtraction

• None of the above

What should you do after solving an inequality but before graphing it?

• Perform another operation

• Check the solution

• Graph another inequality for comparison

• Nothing

What is the correct way to rewrite an inequality to make the variable appear on the left side?

• It's not possible to rewrite inequalities

• Multiply both sides by -1

• Keep the inequality symbol direction the same

• Flip the inequality symbol

If x - 45 < -132, what is the first step to isolate x?

• Divide both sides by 45

• Multiply both sides by 45

• Add 45 to both sides

• Subtract 45 from both sides

When graphing an inequality solution, what does an open circle represent?

• The highest value in the solution set

• A value that is part of the solution

• The lowest value in the solution set

• A value that is not part of the solution

How can you verify if your solution to an inequality is correct?

• By graphing it

• By asking someone else

• By checking with a different inequality

• By substituting a value into the original inequality

In the context of inequalities, what does 'Keep Change Change' refer to?

• Keeping the inequality symbol the same while changing the sides

• A strategy for graphing inequalities

• Keeping the variable the same while changing the numbers

• A method to deal with subtraction across inequalities

What does an inequality with a 'less than or equal to' symbol indicate about the solution?

• The solution is only equal to the number

• The solution is only less than the number

• The solution cannot include the number it's compared to

• The solution includes the number it's compared to

Susan wants to buy a new phone costing $375. If she already has $120, how much more does she need?

• More than $300

• At least $255

• Exactly $255

• Less than $255