Solving Equations with Variables

The video tutorial explains how to solve an equation by isolating the variable k. It begins with simplifying the equation by clearing parentheses and distributing negative values. The process continues by isolating variable terms through addition and subtraction. Finally, the solution is verified by substituting the value back into the equation to ensure both sides are equal. The tutorial emphasizes understanding each step to achieve the correct solution.

What is the first step in solving an equation to find the value of a variable?

• Multiply both sides by zero

• Isolate the variable on one side

• Add random numbers to both sides

• Divide by the variable

How do you simplify an expression with parentheses and a negative sign?

• Add the numbers inside the parentheses

• Multiply everything by zero

• Distribute the negative sign across the terms

• Ignore the parentheses

What operation is used to move a variable term from one side of the equation to the other?

• Division

• Addition

• Subtraction

• Multiplication

After simplifying, what is the next step to solve for the variable k?

• Divide by the coefficient of k

• Subtract 5 from both sides

• Add 10 to both sides

• Multiply by 8

What is the result of dividing a negative number by another negative number?

• A positive number

• Zero

• A negative number

• An undefined number

What common factor is used to simplify the fraction 10/8?

• 4

• 5

• 3

• 2

What is the simplified form of the solution k = 10/8?

• k = 1/2

• k = 5/4

• k = 2/3

• k = 4/5

How can you verify that your solution to an equation is correct?

• By guessing

• By substituting the solution back into the original equation

• By asking a friend

• By multiplying the solution by zero

What should the left and right sides of the equation equal when the correct solution is substituted?

• Zero

• Different values

• The same value

• Negative values

What is the value of the left side of the equation when k = 5/4?

• 9

• 5

• 0

• -7.75