Inequalities and Basic Operations

The video tutorial covers solving one-step equations and inequalities, emphasizing the importance of treating inequalities like equations. It explains how to isolate variables by undoing multiplication through division and highlights the need to flip the inequality sign when dividing by negative numbers. The tutorial also demonstrates graphing inequalities on a number line, determining true or false statements, and shading the number line towards true statements.

What is the first step in solving one-step equations?

• Add a constant to both sides

• Isolate the variable

• Subtract a constant from both sides

• Multiply both sides by zero

When isolating a variable, what operation should be used to undo multiplication?

• Addition

• Subtraction

• Division

• Multiplication

What must you remember to do when dividing both sides of an inequality by a negative number?

• Add a constant to both sides

• Flip the inequality sign

• Multiply both sides by a positive number

• Subtract a constant from both sides

If you divide -5 by -1, what is the result?

• -5

• 0

• 5

• 1

What is the result of dividing 90 by -5?

• -18

• 18

• -15

• 15

What is the result of multiplying -5 by -1?

• 5

• 1

• 0

• -5

What is the purpose of graphing the solution of an inequality on a number line?

• To find the exact value of the variable

• To visually represent the solution set

• To check if the solution is correct

• To compare it with another inequality

How do you determine if a point on the number line is part of the solution set?

• By checking if it satisfies the inequality

• By checking if it is a positive number

• By checking if it is a whole number

• By checking if it is an even number

What does shading to the right of a point on a number line indicate?

• Only the point itself is a solution

• No numbers are solutions

• All numbers greater than the point are solutions

• All numbers less than the point are solutions

If an inequality is p > 6, which of the following is true?

• p can be 4

• p can be 7

• p can be 5

• p can be 6