Solving Multi-step Equations with Like Terms

The video tutorial covers the process of combining like terms in algebraic equations to simplify and solve them. It provides multiple examples, each focusing on a different variable, such as w, d, x, and y. The tutorial emphasizes the importance of not combining terms across the equal sign and demonstrates how to handle negative terms. Each example includes a step-by-step solution and a method to verify the correctness of the solution.

Why is it important to identify like terms on the same side of the equation?

• To make the equation more complex

• To simplify the equation and reduce the number of steps

• To increase the number of variables

• To make the equation unsolvable

What is the result of combining 4w and 2w?

• 2w

• 6w

• 8w

• 4w

What should you do after combining like terms in an equation?

• Add more terms to the equation

• Divide the terms

• Multiply the terms

• Solve for the variable

In the second equation, why can't you combine terms across the equal sign?

• Because the equal sign acts as a barrier

• Because it would make the equation incorrect

• Because they are on the same side

• Because they are not like terms

What is the simplified form of the equation after combining 10 and -6?

• 10

• 16

• 4

• -6

What is the result of combining 8x and -3x?

• 1x

• 3x

• 5x

• 11x

After combining like terms, what is the next step to isolate the variable?

• Add a constant to both sides

• Subtract a constant from both sides

• Multiply both sides by a constant

• Divide both sides by a constant

What is the result of combining 9d and -2d?

• 3d

• 11d

• 7d

• 5d

How do you handle negative terms when combining like terms?

• Ignore the negative sign

• Combine them carefully, paying attention to the signs

• Add the negative terms together

• Subtract the negative terms

What is the final value of x in the equation 35 = -5 + -5x?

• x = -7

• x = 8

• x = -8

• x = 7