Solving Multi-Step Inequalities with Variables

Miss Newell introduces solving multi-step inequalities with variables on both sides using the acronym 'Don't Call Me After Midnight'. Each letter represents a step: Distribute, Combine like terms, Move variables, Add/Subtract constants, and Multiply/Divide by the coefficient. She emphasizes flipping the inequality sign when multiplying or dividing by a negative. The video includes multiple example problems to illustrate these steps, highlighting special cases and common mistakes.

What does the 'D' in the acronym 'Don't Call Me After Midnight' stand for?

• Differentiate

• Distribute

• Determine

• Divide

What is the first step in solving a multi-step inequality?

• Add or subtract constants

• Distribute

• Move variables to one side

• Combine like terms

In the first example, what is the result of combining 10 and 3 on the left side?

• 13

• 10

• 3

• 7

What must you do when you divide or multiply by a negative number in an inequality?

• Keep the inequality sign the same

• Flip the inequality sign

• Add a constant

• Subtract a constant

In the second example, what is the result of combining -2 and -3 on the left side?

• 1

• -5

• -1

• 5

What is the final solution for x in the second example?

• x = -2

• x < -2

• x > -2

• x ≥ -2

In the third example, what is the result of combining 10 and 2 on the right side?

• 10

• 2

• 8

• 12

What is the simplified form of 18/8?

• 9/4

• 4/9

• 9/2

• 2/9

In the final example, what is the result of combining 1x and -6x on the left side?

• -5x

• 7x

• 5x

• -7x

What is the final solution for x in the final example?

• x > -7

• x ≥ -7

• x = -7

• x < -7