Solving Two-Step Inequalities

The video tutorial covers solving two-step inequalities, starting with a review of solving two-step equations. It explains the process of solving equations and inequalities, highlighting the key difference of flipping the inequality sign when dividing by a negative number. The tutorial includes graphing solutions on a number line for both equations and inequalities, emphasizing the visual representation of solutions. Practice problems are provided to reinforce the concepts learned.

What is the first step in solving a two-step equation?

• Multiply both sides by the coefficient

• Add or subtract to isolate the variable term

• Divide both sides by the coefficient

• Flip the inequality sign

When solving the equation -2x + 9 = 11, what is the result after subtracting 9 from both sides?

• -2

• 20

• -2x

• 2

In the equation -2x = 2, what is the value of x after dividing both sides by -2?

• -2

• 2

• -1

• 1

What happens to the inequality sign when you divide both sides of an inequality by a negative number?

• It stays the same

• It flips direction

• It becomes an equal sign

• It disappears

How is the graph of an inequality different from the graph of an equation?

• It is always an open circle

• It is always a solid line

• It includes a range of values

• It has a single point

When solving the inequality 3y - 7 < -37, what is the result after adding 7 to both sides?

• 44

• -44

• 30

• -30

In the inequality 3y < -30, what is the value of y after dividing both sides by 3?

• 30

• -30

• -10

• 10

When solving the inequality n/-3 > -13, what operation is used to isolate n?

• Division

• Multiplication

• Subtraction

• Addition

What is the value of n in the inequality n/-3 > -13 after multiplying both sides by -3?

• -39

• 39

• 13

• -13

What type of circle is used to graph the solution of an inequality that does not include the boundary value?

• Shaded circle

• Open circle

• Solid circle

• Dashed circle