Solving Linear Equations and Operations

The video tutorial explains how to solve algebraic equations by isolating the variable X. It covers using opposite operations to eliminate terms, handling equations with fractions, and using addition or subtraction to isolate variables. The tutorial provides examples and solutions to demonstrate these concepts.

What is the primary goal when solving algebraic equations?

• To find the value of Y

• To isolate the variable X

• To eliminate all variables

• To simplify the equation

If a variable is held by multiplication, what operation should you use to isolate it?

• Subtraction

• Exponentiation

• Addition

• Division

In the equation 5X = 20, what is the value of X?

• 2

• 4

• 5

• 6

How do you isolate X in the equation R * X = K?

• Subtract R from both sides

• Multiply both sides by R

• Add R to both sides

• Divide both sides by R

What is the opposite operation of division?

• Exponentiation

• Multiplication

• Subtraction

• Addition

In the equation X/3 = 10, what operation will help isolate X?

• Subtract 3

• Multiply by 3

• Divide by 3

• Add 3

What is the result of multiplying both sides of X/3 = 10 by 3?

• X = 3

• X = 10

• X = 30

• X = 1

How do you handle a fraction when isolating a variable?

• Divide by the reciprocal

• Multiply by the reciprocal

• Subtract the fraction from both sides

• Add the fraction to both sides

In the equation X + 7 = 10, what is the first step to isolate X?

• Add 7 to both sides

• Subtract 7 from both sides

• Divide both sides by 7

• Multiply both sides by 7

What is the solution to the equation X + 7 = 10?

• X = 10

• X = 7

• X = 17

• X = 3