Solving Equations and Expressions

This video tutorial covers solving equations for specified variables in problems 81 to 90. Each problem involves isolating a variable using algebraic techniques such as the distributive property, handling fractions, and applying the symmetric property. The tutorial provides step-by-step solutions for each problem, focusing on understanding the process of isolating variables in different types of equations.

What is the main focus of the video tutorial?

• Learning about calculus

• Solving equations for specified variables

• Graphing linear equations

• Understanding quadratic equations

In problem 81, what is the first step to solve for x?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 3y from both sides

• Add 3y to both sides

After isolating x in problem 81, what is the final expression for x?

• x = (12 + 3y) / 4

• x = 12 + 3y

• x = (12 - 3y) / 4

• x = 12 - 3y

In problem 82, what operation is used to eliminate the fraction?

• Division

• Multiplication

• Subtraction

• Addition

What is the final expression for p in problem 82?

• p = (4T - Q) / 3

• p = 4T - Q

• p = 4T + Q

• p = (4T + Q) / 3

In problem 83, which property is used to simplify the expression?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

What is the final expression for J in problem 83?

• J = 5 - 3K

• J = (5 + 3K) / 5

• J = 5 + 3K

• J = (5 - 3K) / 5

In problem 84, what is the first step to solve for M?

• Subtract B from both sides

• Divide both sides by X

• Add B to both sides

• Multiply both sides by X

What is the final expression for M in problem 84?

• M = (Y + B) / X

• M = (Y - B) / X

• M = Y + B

• M = Y - B

In problem 85, what is the strategy to solve for R?

• Divide both sides by R

• Subtract U and T from both sides

• Multiply both sides by R

• Add U and T to both sides