Solving Multi-Step Equations Effectively

The video tutorial covers solving two-step equations, focusing on the distributive property and combining like terms. It begins with an introduction to two-step equations, followed by detailed steps on applying the distributive property. The tutorial then explains how to solve these equations and check the solutions. It also covers combining like terms and solving more complex equations that involve both the distributive property and like terms. The video encourages practice and provides tips for simplifying the process.

What is the first step in solving equations with the distributive property?

• Combine like terms

• Multiply the number outside the parentheses by each term inside

• Divide both sides by the coefficient of x

• Add numbers to both sides

What does the distributive property allow you to do in an equation?

• Combine different variables

• Simplify the equation by division

• Distribute a number across terms within parentheses

• Cancel out terms on both sides

How do you check if your solution for a two-step equation is correct?

• Add the solution to the original equation

• There is no need to check

• Multiply the solution by 2

• Substitute the solution back into the original equation

After applying the distributive property, what type of equation do you typically end up with?

• A quadratic equation

• A two-step equation

• An exponential equation

• A one-step equation

What is the correct solution when you divide both sides of the equation 12x = 12 by 12?

• x = 2

• x = 0

• x = 12

• x = 1

What is the result of combining like terms in the equation 4x - 2x + 3 + 7?

• 2x + 4

• 6x + 10

• 2x + 10

• 6x

When combining like terms, what do you typically aim to achieve on one side of the equation?

• Two variables

• One variable and one number

• No numbers

• A single variable

How do you solve a two-step equation after combining like terms?

• By dividing both sides by the sum of the coefficients

• By subtracting the variable from both sides

• By multiplying both sides by the coefficient of x

• By adding or subtracting a number, then multiplying or dividing by the coefficient of x

In a complex equation involving both distributive property and combining like terms, what should you do first?

• Apply the distributive property

• Combine like terms

• Divide both sides by the coefficient of x

• Subtract numbers from both sides

What is the final step in solving an equation after applying both the distributive property and combining like terms?

• Solve the resulting two-step equation

• Divide both sides by the leading coefficient

• Multiply both sides by the leading coefficient

• Combine the constants on one side