Solving Linear Equations and Inequalities

The video tutorial explains how to solve a linear equation by simplifying both sides, combining like terms, isolating the variable, and solving for it. The solution is verified by substituting the value back into the original equation to ensure it holds true. The process involves basic algebraic operations such as addition, subtraction, and division.

What is the first step in solving an equation?

• Divide both sides by a variable

• Add a constant to both sides

• Simplify both sides by combining like terms

• Multiply both sides by a constant

Which terms are considered like terms on the left side of the equation?

• 3x and 8x

• 3x and -2

• 8x and 7x

• 7x and -2

What is the result of combining 3x and 8x?

• 11x

• 15x

• 10x

• 5x

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

• Divide both sides by a constant

• Subtract the same term from both sides

• Multiply both sides by the variable

• Add the same term to both sides

What is the simplified form of 11x - 7x?

• 6x

• 3x

• 4x

• 5x

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

• Addition

• Multiplication

• Division

• Subtraction

What is the value of x in the equation after solving?

• -2

• -3

• -4

• -5

What is the purpose of substituting the solution back into the original equation?

• To change the equation

• To simplify the equation further

• To verify the solution is correct

• To find a new solution

What is the result of substituting x = -3 into the original equation?

• Both sides equal -30

• Both sides equal -25

• The right side equals -20

• The left side equals -20

What does it mean when both sides of the equation are equal after substitution?

• The solution is incorrect

• The equation needs more terms

• The equation is unsolvable

• The solution is correct