Understanding and Solving Equations

The video tutorial guides viewers through translating a sentence into a mathematical equation and solving it. The problem involves finding a number where the quotient of two less than the number and five equals eight. The tutorial explains the steps to set up the equation, solve for the variable x, and verify the solution by substitution. The solution is confirmed to be correct, and the tutorial concludes with a brief summary.

What is the first step in translating a sentence into an equation?

• Check the solution

• Multiply both sides by a number

• Solve the equation

• Identify the variable

What does the term 'quotient' refer to in mathematics?

• Subtraction

• Division

• Multiplication

• Addition

How do you express 'two less than a number' using a variable x?

• 2 - x

• 2x

• x - 2

• x + 2

What operation is used to clear the fraction in the equation?

• Addition

• Multiplication

• Subtraction

• Division

What is the result of multiplying both sides of the equation by 5?

• x - 2 = 8

• x - 2 = 40

• x = 40

• x = 8

What is the final step to solve for x in the equation x - 2 = 40?

• Multiply both sides by 2

• Add 2 to both sides

• Divide both sides by 2

• Subtract 2 from both sides

What is the value of x after solving the equation?

• 40

• 42

• 38

• 44

Why is it important to substitute the solution back into the original equation?

• To find a new solution

• To verify the solution is correct

• To simplify the equation

• To change the variable

What is the result of substituting x = 42 back into the original equation?

• 40 minus 2 equals 8

• 42 divided by 5 equals 8

• 40 divided by 5 equals 8

• 42 minus 2 equals 8

What does the equation 40 divided by 5 equals 8 confirm?

• The solution is incorrect

• The variable is wrong

• The solution is correct

• The equation needs adjustment