Solving and Verifying Equations

This video tutorial explains how to solve a linear equation by simplifying both sides, isolating the variable, and solving for x. It demonstrates combining like terms, using addition and subtraction to isolate the variable, and dividing to find the solution. The tutorial concludes with verifying the solution by substituting the value back into the original equation.

What is the primary goal when solving an equation?

• To find the value of y

• To make both sides of the equation equal

• To simplify the equation

• To find the value of x that satisfies the equation

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

• 9x and -17x

• 8x and -9x

• 2 and -6

• -13 and 8x

What is the result of combining 9x and -17x?

• 8x

• -8x

• 26x

• -26x

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

• By multiplying both sides by a constant

• By simplifying both sides

• By adding or subtracting terms

• By dividing both sides by a constant

What operation is used to eliminate -19 from the left side of the equation?

• Multiplying by 19

• Subtracting 19

• Dividing by 19

• Adding 19

What is the final step to solve for x in the equation?

• Subtract a constant from both sides

• Multiply both sides by a constant

• Divide both sides by the coefficient of x

• Add a constant to both sides

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

• x = -7

• x = 7

• x = -3

• x = 3

How can you verify the solution to the equation?

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

• By simplifying the equation further

• By multiplying both sides by the solution

• By adding the solution to both sides

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

• Both sides equal -5

• Both sides equal 5

• Both sides equal 0

• Both sides equal 10

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

• To check for errors in calculation

• To find another solution

• To simplify the equation further

• To ensure the solution is correct