Solving Multi-Step Equations with the Distributive Property

This video tutorial covers solving multi-step equations, including those with the distributive property. It begins with an introduction to the goal of solving equations and the importance of distribution and combining like terms. The tutorial then demonstrates simplifying expressions and solving equations step-by-step, including checking solutions for accuracy. Advanced techniques for handling complex equations with like terms are also discussed. Finally, the video applies these concepts to solve word problems, providing a comprehensive understanding of multi-step equations.

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

• Combine like terms

• Check the solution

• Isolate the variable

• Distribute

When distributing a negative value, what should you do?

• Ignore the negative sign

• Circle the negative sign with the term

• Only distribute the positive part

• Add the negative sign after distributing

What is the result of distributing 7 to the expression (5x + 3)?

• 7x - 3

• 35x + 21

• 35x - 21

• 7x + 3

In the equation 2(x - 6) = 44, what is the next step after distributing the 2?

• Divide by 2

• Combine like terms

• Add 12 to both sides

• Subtract 12 from both sides

What is the solution to the equation 2x - 12 = 44?

• x = 22

• x = 32

• x = 20

• x = 28

How do you verify the solution to an equation?

• By checking the signs

• By plugging the solution back into the original equation

• By distributing again

• By guessing

What is the simplified form of the expression -4(-6x + 3)?

• -24x + 12

• -24x - 12

• 24x - 12

• 24x + 12

In the word problem involving the area of a rectangle, what is the first step?

• Multiply the base by the height

• Add the dimensions

• Subtract the dimensions

• Divide the area by the base

What is the price of each t-shirt if four friends each bought a hat for $12.50 and two t-shirts, spending a total of $190?

• $15.00

• $22.50

• $17.50

• $20.00

What is the reciprocal of 1/3?

• 3

• 3/1

• 1/3

• 1/9