Solving and Graphing Two-Step Equations and Inequalities

The video tutorial explains how to solve two-step equations and inequalities. It begins with an introduction to two-step equations, detailing the process of isolating the variable by reversing operations. The tutorial provides three examples of solving equations, including verifying solutions and graphing them on a number line. It then transitions to two-step inequalities, highlighting the need to flip the inequality sign when multiplying or dividing by a negative number. The video concludes with examples of solving inequalities and graphing their solution sets.

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

• Divide by the coefficient

• Isolate the variable

• Subtract the constant

• Add the constant

What should you do after eliminating the constant in a two-step equation?

• Multiply by the coefficient

• Divide by the coefficient

• Graph the solution

• Verify the solution

How do you verify the solution of a two-step equation?

• Add the constant back

• Plot the solution on a number line

• Multiply by the coefficient

• Substitute the solution into the original equation

What is the correct graph representation for a solution x = 3?

• Open circle at 4

• Solid circle at 2

• Solid circle at 3

• Open circle at 3

When solving inequalities, what must you do if you multiply or divide by a negative number?

• Subtract a constant

• Add a constant

• Flip the inequality sign

• Keep the inequality sign the same

What type of circle is used on the number line for an inequality that includes the value?

• No circle

• Open circle

• Solid circle

• Dotted line

How do you graph the inequality x > 2?

• Solid circle at 2, shade right

• Open circle at 2, shade left

• Solid circle at 2, shade left

• Open circle at 2, shade right

What is the solution to the inequality 3x + 3 > -21 after subtracting 3 from both sides?

• x < -8

• x > 8

• x > -8

• x < 8

If you divide both sides of an inequality by a positive number, what happens to the inequality sign?

• It remains the same

• It flips

• It disappears

• It becomes an equals sign

What is the correct graph representation for the inequality x <= 4?

• Open circle at 4, shade right

• Solid circle at 4, shade left

• Solid circle at 4, shade right

• Open circle at 4, shade left