Exploring One & Two Step Inequalities

The video tutorial covers SOL 7.13, focusing on one and two-step inequalities. It explains the differences between solving equations and inequalities, emphasizing the need to flip the inequality sign when multiplying or dividing by a negative number. The lesson includes examples, exercises, and graphing solutions on a number line. Students are encouraged to predict which inequalities require sign flipping and solve various inequalities using inverse operations.

What is the main focus of SOL 7.13?

• Solving multi-step inequalities

• Solving one and two-step linear inequalities

• Graphing quadratic equations

• Understanding polynomial functions

What must you do when you multiply or divide both sides of an inequality by a negative number?

• Flip the inequality sign

• Subtract the same number from both sides

• Keep the inequality sign the same

• Add the same number to both sides

Which symbol represents 'less than or equal to'?

• ≤

• >

• <

• ≥

When graphing x < 0 on a number line, what type of circle should you use at 0?

• Open circle

• Shaded circle

• Closed circle

• No circle

What is the first step in solving the inequality 3x + 5 > 11?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 3

• Divide both sides by 3

If you have the inequality -2x ≥ 10, what should you do after dividing both sides by -2?

• Subtract 2 from both sides

• Add 2 to both sides

• Flip the inequality sign

• Keep the inequality sign the same

In the inequality -1/2x + 9 ≤ 3, what is the next step after subtracting 9 from both sides?

• Divide both sides by 2

• Multiply both sides by -1/2

• Multiply both sides by 2

• Divide both sides by -1/2

What is the solution to the inequality x + 10 < -5?

• x > 5

• x < 5

• x > -15

• x < -15

When solving the inequality -3x > 9, what is the final solution?

• x < 3

• x > 3

• x < -3

• x > -3

What should you do to check if your solution to an inequality is correct?

• Graph the solution on a number line

• Subtract the solution from both sides of the inequality

• Plug the solution back into the original inequality

• Add the solution to both sides of the inequality