Solving Literal Equations: Key Concepts and Techniques

The video tutorial covers solving literal equations with multiple variables. It begins with an introduction to the concept and proceeds with four examples. The first example involves solving a perimeter equation for L, using inverse operations. The second example demonstrates solving a volume equation for H, focusing on handling fractions. The third example deals with solving an equation with parentheses for X, resulting in a complex fraction. The final example involves solving a triangle area formula for H, emphasizing maintaining equation balance.

What is the goal of solving literal equations?

• To solve equations with only one variable.

• To simplify equations to their simplest form.

• To find the value of a single variable in an equation with multiple variables.

• To find the perimeter of geometric shapes.

In the perimeter equation P = 2L + 2W, what is the first step to isolate L?

• Multiply both sides by 2.

• Subtract 2W from both sides.

• Divide both sides by 2.

• Add 2W to both sides.

After subtracting 2W from both sides in the equation P = 2L + 2W, what is the next step?

• Add 2L to both sides.

• Multiply both sides by 2.

• Divide both sides by 2.

• Subtract 2L from both sides.

In the volume equation V = 1/3 * π * r^2 * H, what is the first step to isolate H?

• Add π to both sides.

• Subtract π from both sides.

• Multiply both sides by 3.

• Divide both sides by π.

After multiplying both sides by 3 in the equation V = 1/3 * π * r^2 * H, what is the next step?

• Subtract π * r^2 from both sides.

• Divide both sides by π * r^2.

• Multiply both sides by π * r^2.

• Add π * r^2 to both sides.

In the equation a * (bX + c) = d, what is the first step to isolate X?

• Subtract a from both sides.

• Add a to both sides.

• Divide both sides by a.

• Multiply both sides by a.

After dividing both sides by a in the equation a * (bX + c) = d, what is the next step?

• Divide both sides by b.

• Multiply both sides by b.

• Subtract c from both sides.

• Add c to both sides.

In the area formula for a triangle A = 1/2 * B * H, what is the first step to isolate H?

• Multiply both sides by 2.

• Divide both sides by 2.

• Add 2 to both sides.

• Subtract 2 from both sides.

After multiplying both sides by 2 in the equation A = 1/2 * B * H, what is the next step?

• Subtract B from both sides.

• Divide both sides by B.

• Multiply both sides by B.

• Add B to both sides.

What is the final form of H in the area formula for a triangle after isolating it?

• H = A / 2B

• H = B / 2A

• H = 2A / B

• H = 2A * B