Understanding Equations and Solutions

The video tutorial explains how to determine the relationship between two variables, B and C, using equations. B is defined as five less than twice C, and the product of B and C is 45. The tutorial guides viewers through evaluating different pairs of equations to find the correct ones that satisfy these conditions. It emphasizes the process of elimination to identify the valid equations, ultimately selecting the pair B = 2C - 5 and BC = 45 as the correct solution.

What is the relationship between numbers B and C?

• B is five times the number C.

• B is equal to C plus five.

• B is five less than twice the number C.

• B is twice the number C plus five.

What is the product of B and C?

• 45

• 50

• 35

• 40

Which equation represents the product of B and C?

• B - C = 45

• B * C = 45

• B + C = 45

• B / C = 45

Which of the following equations is incorrect?

• B * C = 45

• B = 2C + 5

• B = 2C - 5

• 45 = BC

What is the correct form of the equation for B in terms of C?

• B = 2C + 5

• B = C - 5

• B = 2C - 5

• B = 5C - 2

Which equation was confirmed as correct?

• B = 5C + 2

• B = C + 5

• B = 2C + 10

• B = 2C - 5

What happens if you distribute the two in the equation B = 2(C + 5)?

• B = 2C - 10

• B = 2C + 10

• B = 2C - 5

• B = 2C + 5

Which pair of equations is used to find the values of B and C?

• B = C + 5 and BC = 45

• B = 5C - 2 and BC = 45

• B = 2C - 5 and BC = 45

• B = 2C + 5 and BC = 45