Solving Linear Equations Concepts

The video tutorial explains how to solve a linear equation with decimals by simplifying, isolating the variable, and solving for it. It also covers verifying the solution by substitution. The process includes distributing terms, combining like terms, and handling decimals. The solution is checked to ensure accuracy.

What is the first step in solving a linear equation in one variable?

• Divide both sides by the variable

• Add a constant to both sides

• Isolate the variable on one side

• Multiply both sides by 100

Why might you multiply both sides of an equation by 100?

• To make the equation more complex

• To clear decimals from the equation

• To simplify the constants

• To isolate the variable

What operation is used to simplify the left side of the equation?

• Combining like terms

• Adding constants

• Subtracting variables

• Multiplying by zero

What is the result of combining 0.15x and -0.08x?

• 0.23x

• 0.15x

• 0.07x

• -0.08x

How do you isolate the variable term in an equation?

• Add or subtract constants from both sides

• Add the variable to both sides

• Multiply both sides by the variable

• Divide both sides by a constant

What is the next step after isolating the variable term?

• Subtract the variable from both sides

• Multiply both sides by the variable

• Divide by the coefficient of the variable

• Add a constant to both sides

What is the quotient of -3.5 divided by 0.07?

• -0.5

• 50

• 0.5

• -50

Why is it important to verify the solution of an equation?

• To ensure the solution satisfies the original equation

• To find a different solution

• To change the equation

• To simplify the solution

What is the result of substituting -50 for x in the equation?

• The equation becomes false

• The equation is not affected

• The equation is satisfied

• The equation becomes more complex

What is the final step in verifying the solution?

• Add the solution to both sides

• Check if both sides of the equation are equal

• Subtract the solution from both sides

• Multiply the solution by the variable