Solving Equations and Formulas

The video tutorial explains how to solve equations for specific variables using examples. It covers the importance of maintaining equality by performing the same operations on both sides of an equation. The tutorial demonstrates solving for B in the slope-intercept form, H in the triangle area formula, and W in the rectangle perimeter formula. Each example illustrates the process of isolating a variable by using basic algebraic operations such as addition, subtraction, multiplication, and division.

What is the key principle to remember when solving equations?

• Whatever you do to one side, do to the other.

• Always add the same number to both sides.

• Subtract the same number from both sides.

• Multiply both sides by zero.

In the equation Y = MX + B, what is the first step to solve for B?

• Multiply both sides by MX.

• Subtract MX from both sides.

• Add MX to both sides.

• Divide both sides by MX.

When solving Y = MX + B for B, what do you treat Y and MX as?

• Exponents

• Coefficients

• Variables

• Constants

What is the reciprocal of 1/2 used for in the triangle area formula?

• To add to both sides

• To subtract from both sides

• To multiply both sides

• To divide both sides

In the formula Y = 1/2 x B x H, what operation is used to isolate H?

• Multiplication

• Subtraction

• Addition

• Division

What is the first step to solve P = 2L + 2W for W?

• Add 2L to both sides

• Subtract 2L from both sides

• Multiply both sides by 2

• Divide both sides by 2

How can the expression (P - 2L) / 2 be simplified?

• P/2 + L

• P + L/2

• P/2 - L

• P - L/2

What is the formula P = 2L + 2W used for?

• Area of a rectangle

• Perimeter of a rectangle

• Volume of a rectangle

• Diagonal of a rectangle

In solving P = 2L + 2W for W, what is the final operation performed?

• Subtraction

• Division

• Multiplication

• Addition

What is the result of simplifying the expression P/2 - 2L/2?

• P - L

• P/2 - L

• P/2 + L

• P + L/2