Solving Two-Step Inequalities: Key Concepts and Practice

What operation is the opposite of subtracting 2?

• Adding 2

• Dividing by 2

• Multiplying by 2

• Subtracting 2

What is the first step in solving two-step inequalities?

• Undo addition or subtraction

• Undo multiplication or division

• Multiply by the coefficient

• Divide by the variable

After undoing subtraction by adding 2, what is the next step if the variable has a coefficient?

• Add the coefficient

• Subtract the coefficient

• Multiply by the coefficient

• Divide by the coefficient

What is the final inequality of the first example?

• x is greater than or equal to 5

• x is less than or equal to 5

• x is less than 5

• x is greater than 5

In the second example, what is the opposite operation of dividing by negative three?

• Multiplying by negative three

• Subtracting three

• Adding three

• Dividing by three

What is the result of multiplying reciprocals?

• 1

• 0

• The original number

• -1

What rule must be followed when multiplying or dividing by a negative number in inequalities?

• None of the above

• Multiply the other side by a negative

• Flip the inequality sign

• Keep the inequality sign the same

What is the final inequality of the second example?

• t is less than 15

• t is less than -15

• t is greater than -15

• t is greater than 15

What is the final inequality for the first practice problem?

• r is greater than 2

• r is less than 2

• r is greater than -2

• r is less than -2

For the second practice problem, what is the correct final inequality?

• r is less than 34

• r is greater than 34

• r is greater than or equal to 34

• r is less than or equal to 34