Solving Linear Equations and Operations

The video tutorial covers solving two-step equations using inverse operations. It begins with an introduction to the concept, followed by a detailed example of solving the equation 2W - 20 = 180. The tutorial then presents an age-related problem involving dogs and a cat, demonstrating the application of two-step equations. A more complex example involving a quotient and addition is also solved, emphasizing the importance of following algebraic steps. The video concludes with a brief mention of the next topic, which will cover solving equations with negative numbers.

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

• Isolate the variable immediately

• Multiply both sides by a number

• Divide both sides by a number

• Add or subtract to eliminate a constant

In the equation 2W - 20 = 180, what operation is performed first?

• Multiply by 2

• Divide by 2

• Subtract 20

• Add 20

After adding 20 to both sides of 2W - 20 = 180, what is the resulting equation?

• 2W = 160

• 2W = 200

• W = 100

• W = 90

What is the value of W in the equation 2W = 200?

• 200

• 150

• 100

• 50

Why is it important to add or subtract before isolating the variable?

• To simplify the equation

• To make the equation more complex

• To avoid incorrect answers

• To ensure the variable is isolated correctly

What happens if you divide both sides of 2W - 20 = 180 by 2 first?

• The variable is isolated correctly

• The solution remains the same

• The equation simplifies correctly

• The equation becomes incorrect

In the problem involving dogs and a cat, what is the equation used?

• D = 23

• D + 8 = 23

• 3D = 23

• 3D + 8 = 23

How old is each dog if 3D + 8 = 23?

• 5 years

• 8 years

• 7 years

• 3 years

What is the first step in solving the equation 3D + 8 = 23?

• Divide both sides by 3

• Multiply both sides by 3

• Add 8 to both sides

• Subtract 8 from both sides

In the equation X/4 + 6 = 14, what does 'six more' refer to?

• Dividing by 6

• Adding 6

• Multiplying by 6

• Subtracting 6