Solving Linear Equations Concepts

The video tutorial explains how to solve a linear equation in one variable by isolating the variable on one side. It covers distributing terms, combining like terms, and solving the equation step-by-step. The solution is simplified to an improper fraction and then to a mixed number. The tutorial emphasizes understanding the distribution of negative numbers and verifying the solution.

What is the primary goal when solving a linear equation in one variable?

• To make both sides of the equation equal

• To eliminate all numbers

• To find the value of the variable

• To simplify the equation to a single number

What is the first step in solving the given equation?

• Combine like terms

• Clear the parentheses

• Add numbers to both sides

• Subtract numbers from both sides

When distributing a negative number, what should you be cautious about?

• Dividing the numbers

• Adding the numbers

• Handling subtraction correctly

• Multiplying the numbers

What is the result of distributing -2 across the expression (X - 4)?

• 2X + 8

• -2X + 8

• -2X - 8

• 2X - 8

What is the next step after clearing the parentheses?

• Combine like terms

• Multiply both sides by a number

• Add a constant to both sides

• Divide both sides by a number

How do you isolate the variable when it appears on both sides of the equation?

• Divide the variable by a constant

• Add the variable to both sides

• Multiply the variable by a constant

• Subtract the variable from one side

What operation is performed to undo addition in the equation?

• Division

• Multiplication

• Subtraction

• Addition

What is the simplified form of -22/10?

• -2/5

• -22/5

• -11/5

• -11/10

How is the improper fraction -11/5 expressed as a mixed number?

• -3 1/5

• -2 2/5

• -2 1/5

• -1 1/5

What should you do to verify the solution of the equation?

• Simplify the equation further

• Change the variable value

• Recalculate the entire equation

• Check if the left side equals the right side