Solving Linear Equations Concepts

The video tutorial explains how to solve and verify linear equations in one variable. It begins with an introduction to the concept of solving linear equations by isolating the variable. The tutorial then demonstrates the process of simplifying and solving two different equations, including combining like terms and performing operations to isolate the variable. Each solution is verified by substituting the value back into the original equation to ensure it holds true. The tutorial emphasizes understanding the steps involved in solving and checking linear equations.

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

• To ensure both sides of the equation are identical.

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

• To eliminate all variables from the equation.

• To convert the equation into a quadratic equation.

What is the first step in simplifying a linear equation?

• Multiplying both sides by zero.

• Clearing parentheses and combining like terms.

• Adding a constant to both sides.

• Dividing both sides by the variable.

How can subtracting a negative number be simplified?

• By multiplying by zero.

• By subtracting a positive number.

• By adding the positive equivalent of that number.

• By dividing by a positive number.

What operation is needed to solve the equation X divided by negative two equals negative three?

• Multiply both sides by negative two.

• Add negative two to both sides.

• Divide both sides by three.

• Subtract three from both sides.

What is the solution to the equation X divided by negative two equals negative three?

• X equals negative six.

• X equals three.

• X equals six.

• X equals negative three.

How do you verify the solution to a linear equation?

• By checking if the solution is a whole number.

• By graphing the equation.

• By solving a different equation.

• By substituting the solution back into the original equation.

What is the first step in solving the second equation M divided by 4 equals negative 12 plus 4?

• Add 4 to both sides.

• Multiply both sides by 4.

• Simplify the right side by combining constants.

• Subtract 12 from both sides.

What operation is used to isolate M in the equation M divided by 4 equals negative 8?

• Multiply both sides by 4.

• Divide both sides by 8.

• Add 8 to both sides.

• Subtract 4 from both sides.

What is the solution to the equation M divided by 4 equals negative 8?

• M equals 8.

• M equals negative 8.

• M equals 32.

• M equals negative 32.

How do you confirm the solution to the second equation is correct?

• By ensuring the solution is a whole number.

• By substituting the solution back into the original equation.

• By checking if M is a positive number.

• By solving a different equation.