Solving One-Step Inequalities with Multiplication and Division

The video tutorial covers solving inequalities with examples. It starts with solving t/3 > 10 by identifying operations, applying inverse operations, and graphing the solution. The second example involves solving -4s <= 16, highlighting the need to flip the inequality sign when dividing by a negative number. The tutorial concludes with practice problems for viewers to solve and graph, reinforcing the concepts taught.

What is the first step in solving the inequality t/3 > 10?

• Identify the operation on the variable

• Subtract 3 from both sides

• Graph the inequality

• Multiply both sides by 3

What operation should be applied to both sides of the inequality t/3 > 10 to isolate t?

• Multiply by 3

• Divide by 3

• Subtract 3

• Add 3

What type of circle is used on the number line for the inequality t > 30?

• Closed circle

• Open circle

• Half-filled circle

• No circle

In the inequality -4s ≤ 16, what is the coefficient of the variable s?

• 16

• -16

• 4

• -4

What is the inverse operation of multiplying by -4 in the inequality -4s ≤ 16?

• Multiplying by 4

• Dividing by -4

• Subtracting 4

• Adding 4

What must be done to the inequality sign when dividing both sides by a negative number?

• Leave it unchanged

• Flip it

• Multiply it by -1

• Add a negative sign

What type of circle is used on the number line for the inequality s ≥ -4?

• No circle

• Half-filled circle

• Open circle

• Closed circle

For the inequality x ≥ 2, where should the arrow point on the number line?

• To the left

• Downwards

• To the right

• Upwards

In the inequality x < 4, what type of circle is used on the number line?

• Closed circle

• Open circle

• Half-filled circle

• No circle

What should you do if you get an incorrect answer while solving inequalities?

• Go back and find your mistake

• Ask a friend

• Ignore it

• Move on to the next problem