Solving Two-Step Inequalities

The video tutorial focuses on solving multi-step inequalities. It begins with an introduction to the lesson's objectives, followed by a detailed explanation of the four steps involved in solving inequalities. The tutorial includes multiple examples demonstrating how to solve inequalities, including those with negative coefficients and the use of the distributive property. Each example is followed by a graphing solution. The video concludes with a summary and encourages viewers to practice the concepts learned.

What is the main objective of the lesson on multi-step inequalities?

• To solve multi-step inequalities

• To explore geometric shapes

• To understand quadratic equations

• To learn how to graph linear equations

Which step involves clearing parentheses using the distributive property?

• Step 3

• Step 4

• Step 2

• Step 1

What should you do if the variable term is being multiplied by a number?

• Multiply both sides by the number

• Divide both sides by the number

• Subtract the number from both sides

• Add the number to both sides

In the first example, what operation is used to isolate the variable term 6x?

• Subtract 3 from each side

• Divide by 6 on each side

• Add 3 to each side

• Multiply by 6 on each side

When multiplying or dividing by a negative number, what must you remember to do?

• Add the same number to both sides

• Keep the inequality symbol the same

• Subtract the same number from both sides

• Reverse the inequality symbol

In the second example, what is the final solution for x?

• x > 16

• x < 16

• x < -16

• x > -16

What is the first step in solving the inequality in the third example?

• Add 13 to each side

• Divide by 8 on each side

• Subtract 13 from each side

• Multiply by 8 on each side

In the final example, what is the result of distributing 3 over (x + 4)?

• 3x + 12

• 3x - 12

• 3x + 4

• 3x - 4

What type of circle is used on the number line when the inequality includes 'equal to'?

• Open circle

• Closed circle

• Half-filled circle

• No circle

In the final example, what is the solution for x after solving the inequality?

• x < -1

• x > -1

• x > 1

• x < 1