Modeling and Solving Equations and Inequalities

The video tutorial covers modeling and solving equations and inequalities. It begins with an introduction to setting up models for equations, followed by detailed examples of solving equations like 3x - 4 = 8 and 2x + 7 = -11. The tutorial then transitions to solving inequalities, explaining the process with examples such as x - 4 < 5 and -3x + 12 < 21. Key concepts include moving constants, canceling pairs, and flipping inequality symbols when necessary.

What is the first step in solving an equation after setting up the model?

• Add all constants together

• Move all constants to the right side

• Move all constants to the left side

• Divide all constants by the variable

In the equation 3x - 4 = 8, what is the value of x?

• 5

• 4

• 3

• 2

For the equation 2x + 7 = -11, what is the value of x?

• -5

• -7

• -3

• -9

In the equation -x + 4 = 9, what is the value of x?

• -5

• 5

• -9

• 9

For the equation -5x - 8 = -13, what is the value of x?

• -5

• 1

• 5

• -1

When solving inequalities, what must you do if x is negative?

• Add the inequality symbol

• Multiply the inequality symbol

• Subtract the inequality symbol

• Flip the inequality symbol

In the inequality x - 4 < 5, what is the value of x?

• 4

• 3

• 2

• 1

For the inequality -3x + 12 < 21, what is the value of x?

• -3

• 3

• 7

• -7

In the inequality 4x - 7 <= -11, what is the value of x?

• -1

• 2

• 1

• -2

For the inequality -8x - (-4) >= 28, what is the value of x?

• -3

• 4

• -4

• 3