Solving Linear Equations and Absolute Values

The video tutorial explains how to solve equations involving two absolute values. It begins by describing the method of dropping the absolute values and considering both positive and negative scenarios. The tutorial then provides a detailed, step-by-step solution for two equations, demonstrating how to isolate the variable and solve for it. The video concludes with a brief recap of the process and encourages viewers to apply the method to similar problems.

What is the first step when you have an equation with two absolute values?

• Add the absolute values together

• Drop the absolute values and add a plus and minus

• Divide the absolute values

• Multiply the absolute values

What is the first equation formed after dropping the absolute values?

• 4w + 3 = 2w - 5

• 4w - 3 = 2w - 5

• 4w - 3 = 2w + 5

• 4w + 3 = 2w + 5

Why do we use plus and minus when dealing with absolute values?

• To make the equation more complex

• Because absolute values are always positive

• To account for both positive and negative solutions

• To simplify the equation

What is the first step in solving the equation 4w + 3 = 2w - 5?

• Subtract 2w from both sides

• Add 2w to both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the value of w after solving 4w + 3 = 2w - 5?

• w = 8

• w = -4

• w = 4

• w = -8

What is the first step in solving the equation 4w + 3 = - (2w - 5)?

• Add 2w to both sides

• Multiply both sides by -1

• Subtract 2w from both sides

• Distribute the negative sign

What is the result of distributing the negative sign in the equation 4w + 3 = - (2w - 5)?

• 4w - 3 = -2w + 5

• 4w + 3 = -2w + 5

• 4w + 3 = -2w - 5

• 4w - 3 = -2w - 5

What is the next step after distributing the negative sign in the equation 4w + 3 = -2w + 5?

• Add 2w to both sides

• Subtract 2w from both sides

• Divide both sides by 2

• Multiply both sides by 2

What is the value of w after solving 4w + 3 = -2w + 5?

• w = 1/3

• w = 1/2

• w = 3/2

• w = 2/3

What is the final value of w in the second equation?

• w = 1/2

• w = 1/3

• w = 2/3

• w = 3/2