Solving Linear Equations and Properties

The video tutorial covers solving multi-step equations involving fractions and decimals. It begins with an introduction to the topic, followed by detailed steps to solve equations with fractions, including the use of the distributive property. The tutorial then addresses solving equations with decimals. Finally, it provides practice problems for students to apply what they've learned.

What is the main focus of today's lesson?

• Solving quadratic equations

• Graphing linear equations

• Multi-step equations with fractions and decimals

• Single-step equations

What is the first step in solving multi-step equations with fractions?

• Add fractions

• Subtract fractions

• Clear fractions by multiplying

• Divide fractions

What is the first step in solving the equation 2/3n - 6 = 22?

• Divide by 2/3

• Multiply by 2/3

• Add 6 to both sides

• Subtract 6 from both sides

After adding 6 to both sides of the equation 2/3n - 6 = 22, what is the next step?

• Subtract 6 again

• Divide by 2/3

• Multiply by 3/2

• Add 22

What is the value of n in the equation 2/3n - 6 = 22?

• 18

• 42

• 28

• 36

What is the result of multiplying 28 by 3/2?

• 42

• 14

• 84

• 56

How do you verify the solution for the equation 2/3n - 6 = 22?

• Graph the equation

• Use a different equation

• Check with a calculator

• Substitute n back into the equation

What is the result of dividing 84 by 3?

• 28

• 14

• 42

• 56

What is the result of multiplying 2/3 by 42?

• 32

• 30

• 34

• 28

What is the result of 28 minus 6?

• 22

• 24

• 20

• 26