Solving Linear Equations Concepts

The video tutorial covers solving multi-step linear equations by combining like terms and isolating the variable. It demonstrates the process using an example equation, showing how to simplify terms, add constants, and divide to find the solution. The tutorial emphasizes understanding each step to solve equations effectively.

What is the first step in solving multi-step linear equations?

• Distribute the coefficients

• Combine like terms

• Subtract variables from both sides

• Add constants to both sides

In the equation 21 = 3w - 12 + 5w, what should be done first?

• Subtract 21 from both sides

• Divide by 8

• Combine 3w and 5w

• Add 12 to both sides

What is the result of combining 3w and 5w?

• 7w

• 8w

• 9w

• 10w

What is the purpose of combining like terms?

• To add constants

• To eliminate variables

• To make the equation more complex

• To simplify the equation

After combining like terms, what is the next step in solving the equation?

• Add 12 to both sides

• Subtract 12 from both sides

• Multiply both sides by 8

• Divide both sides by 8

What is the value of 21 + 12?

• 31

• 32

• 33

• 34

What is the result of adding 12 to both sides of the equation 21 = 3w - 12 + 5w?

• 57

• 45

• 33

• 21

How do you isolate w in the equation 8w = 33?

• Add 8 to both sides

• Subtract 8 from both sides

• Multiply both sides by 8

• Divide both sides by 8

What is the result of dividing 33 by 8?

• 4.375

• 4.25

• 4.5

• 4.125

What operation is used to eliminate the coefficient of w?

• Subtraction

• Addition

• Multiplication

• Division