Solving Multistep Inequalities Challenge

The video tutorial covers solving multi-step inequalities, similar to solving two-step equations, with a focus on handling the inequality sign. It explains the process of distributing, combining like terms, and solving for the variable. The tutorial also includes graphing solutions on a number line and provides examples, including those with negative numbers, to reinforce understanding. The video concludes with practice problems for students to solve.

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

• Draw railroad tracks around the inequality sign

• Distribute if needed

• Combine like terms

• Circle the variable

In the example, what operation is used to eliminate the addition of 21?

• Addition

• Multiplication

• Subtraction

• Division

What should you do if there is a negative attached to your variable when dividing?

• Subtract the negative from both sides

• Multiply by a positive number

• Flip the inequality sign

• Add the negative to both sides

How do you represent the solution on a number line if the inequality is 'less than or equal to'?

• Arrow pointing right

• Arrow pointing left

• Closed circle

• Open circle

What is the result of dividing 7x by 7 in the example?

• x

• 7

• 0

• 1

In the second example, what operation is used to eliminate the subtraction of 1?

• Division

• Subtraction

• Multiplication

• Addition

When solving T/3 = -2, what operation is used to isolate T?

• Addition

• Multiplication

• Subtraction

• Division

What happens to the inequality sign when you multiply or divide by a negative number?

• It disappears

• It becomes an equal sign

• It flips

• It stays the same

In the final example, what is the first step after distributing the 4?

• Combine like terms

• Add 24 to both sides

• Divide by 4

• Subtract 24 from both sides

What is the solution to the inequality 4w - 24 < -12?

• w ≤ 3

• w < 3

• w = 3

• w > 3