Understanding Inequalities and Percentages

This video tutorial covers Math 7 Unit 6 Lesson 15 on efficiently solving inequalities. It begins with an introduction to inequalities and boundary points, followed by detailed examples of solving inequalities using equations and tables. The lesson includes activities to determine solution sides and concludes with homework problems and a review of key concepts.

What is the first step in solving an inequality with a negative coefficient?

• Set the inequality as an equation

• Divide both sides by the coefficient

• Multiply both sides by -1

• Add the same number to both sides

When completing a table for an inequality, what is the main goal?

• To check if all values are equal

• To identify the boundary point

• To determine the pattern of solutions

• To find the exact solution

How does a negative coefficient affect the direction of an inequality?

• It has no effect

• It reverses the inequality direction

• It makes the inequality invalid

• It doubles the inequality value

What is the purpose of setting an inequality as an equation during problem-solving?

• To simplify the inequality

• To find the boundary point

• To eliminate variables

• To check for errors

In the context of inequalities, what does a boundary point represent?

• The midpoint of the number line

• The maximum value of the variable

• The point where the inequality changes direction

• The average of all possible solutions

What is the significance of an open circle on a graph of an inequality?

• It marks the midpoint of the solution

• It represents the average value

• It shows the solution excludes the point

• It indicates the solution includes the point

How do you determine the direction of an inequality after finding the boundary?

• By checking if the boundary is positive or negative

• By testing values on either side of the boundary

• By graphing the inequality

• By calculating the average of all solutions

What is the first step in solving a percentage discount problem?

• Calculate the original price

• Subtract the sale price from the original price

• Divide the discount by the original price

• Multiply the discount by 100

How do you convert a decimal to a percentage?

• Multiply by 100

• Divide by 10

• Divide by 100

• Multiply by 10

What is the final step in solving an inequality problem?

• Check the solution with a table

• Recalculate the boundary point

• Verify the solution with a different method

• Graph the solution