Solving Equations and Mean Calculation

This video tutorial explains how to solve an SAT math problem involving the mean of two expressions, x and 4x, which equals 10. The instructor demonstrates how to set up the equation and solve for x using two different methods: a two-step process and a one-step process using the reciprocal. The video emphasizes understanding the concept of mean and provides a clear, step-by-step solution to the problem.

What is the mean of x and 4x if it is given as 10?

• 5

• 10

• 20

• 15

How do you calculate the mean of two expressions?

• Add them and divide by two

• Divide one by the other

• Subtract one from the other

• Multiply them together

What is the first step in solving the equation 5x/2 = 10?

• Add 2 to both sides

• Multiply both sides by 2

• Subtract 5 from both sides

• Divide both sides by 5

After clearing the fraction in the equation 5x/2 = 10, what is the next step?

• Add 10 to both sides

• Subtract 2 from both sides

• Multiply both sides by 5

• Divide both sides by 5

What is the value of x when 5x = 20?

• 5

• 4

• 3

• 2

What is the reciprocal of 5/2?

• 5/2

• 2/5

• 2

• 1/5

How can you solve 5x/2 = 10 in one step?

• Subtract 2 from both sides

• Add 5 to both sides

• Multiply both sides by 2/5

• Multiply both sides by 5/2

What happens to the fractions when you multiply by the reciprocal?

• They cancel out

• They become negative

• They double

• They remain the same

What is the result of multiplying 2 by 2 in the alternative method?

• 8

• 6

• 4

• 2

Which method is faster for solving the equation?

• Using the reciprocal

• Neither method

• Clearing fractions

• Both are the same