Solving Multistep Equations with One Variable

The video tutorial covers solving multi-step equations with variables, focusing on the distributive property and combining like terms. It includes detailed walkthroughs of examples 1 to 4, 11, and 12, demonstrating how to handle equations with distribution, negative coefficients, and complex terms. The tutorial concludes with assignments for further practice.

What is the first step in solving equations with parentheses?

• Combine like terms

• Subtract constants

• Distribute the outside number

• Isolate the variable

What is the result of distributing 3 to (5 + 8n)?

• 17 + 13n

• 3 + 5n

• 8 + 11n

• 15 + 24n

What is the result of 3 times 8n?

• 24n

• 11n

• 24

• 11

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

• Subtract the smallest term

• Isolate the variable term

• Divide by the coefficient of the variable

• Add constants to both sides

What is the correct order of operations in solving multi-step equations?

• Distribute, combine like terms, isolate the variable

• Distribute, isolate the variable, combine like terms

• Combine like terms, distribute, isolate the variable

• Isolate the variable, distribute, combine like terms

How do you handle negative numbers when distributing?

• Subtract the result

• Ignore the sign

• Add them

• Multiply as usual

What is the solution to the equation after distributing -2 to (1 - 8n)?

• 2 - 16n

• 2 + 16n

• -2 - 16n

• -2 + 16n

What should you do if there are multiple distributions in an equation?

• Distribute only the largest number

• Combine all numbers and distribute once

• Distribute each number separately

• Ignore additional distributions

How do you solve for a variable when its coefficient is negative?

• Add a positive number

• Divide by the negative coefficient

• Subtract the same number

• Multiply by -1

What should students do after solving the equations given in the video?

• Review the solutions

• Solve additional problems

• Watch the video again

• Discuss with peers