Solving Linear Equations Concepts

This video tutorial explains how to solve a linear equation with variable terms on both sides. It covers simplifying the equation by distributing and combining like terms, isolating the variable term, and solving for the variable. The solution is verified by substituting back into the original equation to ensure both sides are equal.

What is the first step in solving a linear equation with variables on both sides?

• Multiply both sides by zero

• Simplify each side by clearing parentheses and combining like terms

• Divide both sides by the variable

• Add a constant to both sides

When simplifying the left side of the equation, what operation is performed after distributing?

• Adding a constant

• Multiplying by a coefficient

• Combining like terms

• Subtracting a variable

How do you isolate the variable term on one side of the equation?

• Multiply both sides by zero

• Divide both sides by the variable

• Add or subtract terms from both sides

• Add a constant to one side

What is the result of subtracting 1a from both sides of the equation?

• The equation becomes unsolvable

• The variable term is isolated on one side

• The equation becomes a quadratic equation

• The equation remains unchanged

What operation is used to solve for the variable after isolating it?

• Adding a constant

• Multiplying by zero

• Dividing by the coefficient of the variable

• Subtracting a constant

What is the solution to the equation after solving for the variable?

• a = 3/7

• a = -7/3

• a = 7

• a = 0

How can you verify that the solution to the equation is correct?

• By dividing both sides by the variable

• By adding a constant to both sides

• By multiplying both sides by zero

• By checking if both sides of the equation are equal after substitution

What is the value of the expression on the left side after substituting the solution?

• 0

• 7

• 9.6

• 29/3

What is the value of the expression on the right side after substituting the solution?

• 9.6

• 0

• 29/3

• 7

What does it mean if both sides of the equation simplify to the same value after substitution?

• The equation is quadratic

• The solution is incorrect

• The solution is correct

• The equation is unsolvable