Steps to Solve Multi-Step Inequalities

The video tutorial introduces the concept of solving multi-step inequalities, emphasizing the use of prior knowledge in solving equations and inequalities. It outlines four steps: clearing parentheses, isolating the variable term, ensuring the variable has a coefficient of one, and graphing the solution. The tutorial provides examples, including handling negative coefficients, and guides viewers through practice problems. The session concludes with a recap of the steps and encourages viewers to apply these methods to solve inequalities effectively.

What is the primary goal when solving multi-step inequalities?

• To add or subtract values from both sides

• To graph the solution on a number line

• To isolate the variable term with a coefficient of one

• To perform the distributive property

What is the first step in solving multi-step inequalities if parentheses are present?

• Perform the distributive property

• Multiply or divide both sides by a value

• Isolate the variable term

• Graph the solution

What does it mean to have a coefficient of one for the variable in an inequality?

• The variable is completely isolated

• The variable is not important

• The variable is multiplied by zero

• The variable can be any number

How do you create a zero pair when solving inequalities?

• By multiplying both sides by the same number

• By adding or subtracting the inverse operation

• By performing the distributive property

• By dividing both sides by the same number

What is the purpose of isolating the variable term in an inequality?

• To simplify the equation

• To find the coefficient of the variable

• To determine the inequality symbol

• To solve for the variable's value

What is the result of dividing both sides of an inequality by the same positive number?

• The inequality remains unchanged

• The equation becomes an equality

• The inequality symbol reverses

• The variable becomes negative

When graphing the solution of an inequality, what does a closed circle represent?

• The variable can be equal to the number

• The variable is not equal to the number

• The variable is less than the number

• The variable is greater than the number

What is the inverse operation of adding 3 to both sides of an inequality?

• Dividing both sides by 3

• Multiplying both sides by 3

• Subtracting 3 from both sides

• Adding 3 again to both sides

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

• Subtract 1 from both sides

• Reverse the inequality symbol

• Keep the inequality symbol the same

• Add 1 to both sides

Why is it necessary to reverse the inequality symbol when multiplying or dividing by a negative number?

• To ensure the inequality represents the true relationship

• To correct the direction of the inequality

• To maintain the balance of the equation

• Because it's a rule without reason