Solving Single Variable Equations

This video tutorial covers solving single variable equations by isolating the variable. It begins with an introduction to the goal of solving equations, followed by steps to combine like terms and isolate the variable. The video includes practice problems and detailed solutions, demonstrating techniques such as distributing and handling fractions. By the end, viewers should be able to solve equations and understand the process of isolating variables.

What is the primary goal when solving single variable equations?

• To eliminate all variables

• To combine all terms into a single number

• To find the value of the variable that makes the equation true

• To rewrite the equation in a different form

What is the first step in solving the equation 6X + 5 - 4 = x + 9 + 3x?

• Subtract 5 from both sides

• Divide both sides by 6

• Combine like terms on each side

• Multiply both sides by 2

When combining like terms, what do you do with 6X and 4X?

• Add them together

• Subtract them

• Divide them

• Multiply them

Why do we move variables to one side of the equation?

• To eliminate the variable

• To make the equation more complex

• To isolate the variable

• To simplify the constants

What operation is used to isolate X in the equation 2X + 1 = 8?

• Subtraction

• Division

• Addition

• Multiplication

What should you do before attempting the practice problems?

• Pause the video and try solving them

• Skip to the answers

• Read a textbook

• Watch the entire video

In problem 1, what is the first step when you see parentheses?

• Ignore the parentheses

• Multiply the terms

• Distribute the minus sign

• Add the numbers inside

What is the result of distributing a negative 1 in problem 1?

• No change

• Negative terms

• Positive terms

• Zero

In problem 2, what is the first step when you see a 5 in front of parentheses?

• Add 5 to both sides

• Divide by 5

• Distribute the 5

• Subtract 5 from both sides

What is the result of distributing 5 in problem 2?

• 5X - 5

• 5X + 5

• 5X + 20

• 5X - 20