Equations and Inequalities Mastery Review

Miss Stig reviews solving equations and inequalities, emphasizing isolating variables using inverse operations. She explains the process with examples, highlighting the importance of checking solutions. The video covers special rules for inequalities, such as flipping the inequality symbol when multiplying or dividing by a negative number. Graphing solutions on a number line is discussed, along with vocabulary for inequality symbols. The video concludes with examples of writing equations and inequalities, encouraging students to ask questions if needed.

What is the first step in solving an equation to isolate the variable?

• Check the solution

• Replace the variable

• Add or subtract the constant

• Multiply or divide

How do you start solving an equation to isolate the variable?

• Divide by the coefficient

• Multiply by the coefficient

• Subtract the constant

• Add the constant

What must be done when multiplying or dividing both sides of an inequality by a negative number?

• Add a constant

• Subtract a constant

• Nothing special is required

• Flip the inequality symbol

After solving an inequality, what is a crucial step to verify the solution?

• Substitute a value within the constraints

• Multiply by a negative number

• Add the constant

• Graph the solution

What is the correct method to check if an inequality solution is accurate?

• Substitute a value outside the constraints

• Graph the inequality

• Substitute a value within the constraints

• Flip the inequality symbol

What does a closed circle on a number line indicate in graphing inequalities?

• The value is not included in the solution set

• Only negative solutions

• The value is included in the solution set

• Only positive solutions

What symbol is used on a number line graph to indicate that a value is not included in the solution set?

• Dotted line

• Arrow

• Closed circle

• Open circle

Which keyword indicates a 'less than or equal to' relationship?

• Maximum

• Equal

• Above

• More than

Which phrase would you use to write an inequality indicating 'no more than'?

• Equal to

• Less than or equal to

• Greater than

• Less than

In the context of inequalities, what does the term 'minimum' signify?

• Greater than or equal to

• Less than

• Equal to

• Greater than