Solving One-Step Inequalities with Negative Coefficients

What operation is used to solve the inequality 5x < 25?

• Subtraction

• Division

• Multiplication

• Addition

If dividing by a positive number, does the inequality sign change?

• Yes, it flips

• No, it stays the same

• None of the above

• It depends on the variable

What is the correct way to handle a fractional coefficient in an inequality?

• Subtract the fraction

• Add the fraction

• Multiply by the reciprocal

• Divide by the fraction

What must be done when multiplying an inequality by a negative number?

• Keep the inequality sign

• Add to both sides

• Flip the inequality sign

• Subtract from both sides

What happens to the inequality sign when dividing by -7 in the inequality -7x ≥ 56?

• It remains ≥

• It changes to ≤

• It becomes >

• It becomes <

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

• Switching the inequality sign

• None of the above

• Reversing the operation

• Changing the variable

Why do we flip the inequality sign when multiplying by a negative number?

• Due to the change in direction on the number line

• Because of the rules of algebra

• To balance the equation

• All of the above

What is the result of multiplying -4 by -2 on the number line?

• 2

• -8

• 8

• -2

When is it necessary to flip the inequality sign twice?

• When adding to both sides

• When the variable is on the right and divided by a negative

• When subtracting from both sides

• When dividing by a positive number

What should always be done with the variable in the final inequality expression?

• None of the above

• Place it on the left

• Multiply it by -1

• Place it on the right