Isolating Variables in Equations

The video tutorial by Tiffany explains how to solve equations with integers by isolating the variable using inverse operations. It covers four examples, demonstrating the process of solving equations step-by-step, including addition, subtraction, multiplication, and division of integers. The tutorial emphasizes the importance of checking solutions by substituting the variable back into the original equation.

What does it mean to isolate the variable in an equation?

• To multiply the variable by a constant

• To get the variable alone on one side of the equation

• To remove the variable from the equation

• To add numbers to both sides

Which operation is the inverse of addition?

• Multiplication

• Division

• Subtraction

• Exponentiation

In the equation t + 9 = -13, what is the first step to isolate t?

• Add 9 to both sides

• Divide both sides by 9

• Subtract 9 from both sides

• Multiply both sides by 9

What is the result of solving the equation t + 9 = -13?

• t = -9

• t = -13

• t = -22

• t = -4

In the equation t - 7 = -10, what operation should be used to isolate t?

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 7

• Divide both sides by 7

What is the solution to the equation t - 7 = -10?

• t = -3

• t = 3

• t = -17

• t = 17

In the equation -2t = 100, what is the inverse operation to isolate t?

• Subtract 2 from both sides

• Divide both sides by -2

• Multiply both sides by 2

• Add 2 to both sides

What is the correct solution for the equation -2t = 100?

• t = 5

• t = -50

• t = -5

• t = 50

In the equation -50/t = -5, what is the first step to solve for t?

• Subtract 50 from both sides

• Add 50 to both sides

• Divide both sides by -5

• Multiply both sides by t

What is the solution to the equation -50/t = -5?

• t = 5

• t = -10

• t = 10

• t = -5