Solving Equations and Literal Equations

This video tutorial introduces literal equations, which are equations with multiple variables. It explains how to solve these equations by isolating a specific variable, resulting in an expression rather than a numerical value. The tutorial provides several examples, demonstrating the process of isolating variables like B and C in different equations. The video emphasizes the consistent technique used across various examples, highlighting the importance of understanding the underlying principles of solving literal equations.

What is a literal equation?

• An equation with no variables

• An equation with only one variable

• An equation with more than one variable

• An equation with only numbers

Which of the following is an example of a literal equation?

• x + 5 = 10

• V = πr²h

• 5 = 5

• y = 3x + 2

What does it mean to solve a literal equation?

• To find a numerical value for the variable

• To isolate the indicated variable on one side

• To eliminate all variables

• To convert it into a linear equation

In the equation 2b = 8, what is the value of b?

• 8

• 6

• 4

• 2

How do you solve the equation a + b = c for b?

• b = c + a

• b = a - c

• b = c - a

• b = a + c

What is the first step in solving the equation 2b + 1 = 13 for b?

• Subtract 1 from both sides

• Multiply both sides by 2

• Add 1 to both sides

• Divide both sides by 2

In the equation AB + C = D, how can you solve for B?

• B = D - C

• B = (D - C) / A

• B = D + C

• B = A / (D - C)

How do you solve the equation 4ABC = 32 for C?

• C = 32 * 4AB

• C = 32 / (4AB)

• C = 32 + 4AB

• C = 32 - 4AB

In the equation A = B + C + D, what is the expression for B?

• B = A / (C + D)

• B = A + C + D

• B = A - C - D

• B = A * C * D

What is the result of simplifying the expression 32 / 4?

• 4

• 6

• 8

• 10