Solving Equations: Combining Like Terms and Distribution

This video tutorial focuses on solving equations by combining like terms and using distribution. It begins with an introduction to the topic, followed by detailed examples that demonstrate how to simplify and solve equations. The tutorial emphasizes the importance of cleaning up equations by combining like terms and distributing before solving. It also highlights the use of the order of operations in reverse to isolate the variable X.

What is the first step in solving an equation that involves combining like terms?

• Isolate the variable

• Combine the like terms

• Add or subtract constants

• Distribute the constants

In the equation 4x - 7x + 8 = 20, what do you get after combining the like terms?

• 11x + 8 = 20

• -3x + 8 = 20

• 3x + 8 = 20

• -11x + 8 = 20

What is the next step after combining like terms in the equation -3x + 8 = 20?

• Add 8 to both sides

• Subtract 8 from both sides

• Multiply both sides by -3

• Divide both sides by -3

What is the value of x in the equation -3x = 12?

• 4

• 3

• -4

• -3

In the equation 7x + 2x - 3 - 7 = 35, what do you get after combining the like terms?

• 9x - 10 = 35

• 5x + 10 = 35

• 9x + 10 = 35

• 5x - 10 = 35

What is the value of x in the equation 9x = 45?

• 3

• 6

• 4

• 5

What is the first step in solving the equation 7(2x - 1) = 21?

• Divide both sides by 7

• Add 1 to both sides

• Distribute the 7

• Combine like terms

What do you get after distributing 7 in the equation 7(2x - 1) = 21?

• 14x + 1 = 21

• 14x - 7 = 21

• 14x + 7 = 21

• 14x - 1 = 21

What is the value of x in the equation 14x = 28?

• 4

• 3

• 2

• 1

What should you always do before drawing the line to start solving an equation?

• Check for parentheses

• Distribute constants

• Isolate the variable

• Combine like terms