Inverse Operations in Solving Equations

This video tutorial covers solving one-step equations using inverse operations. It explains how addition and subtraction, as well as multiplication and division, are inverse operations that can be used to isolate variables in equations. The tutorial includes examples with whole numbers, negative numbers, and fractions, demonstrating how to create zero pairs and solve for variables. It emphasizes the importance of performing operations on both sides of the equation to maintain balance. The video concludes with a brief overview of the next lesson.

What is the primary purpose of inverse operations in solving equations?

• To make equations more complex

• To simplify equations by undoing operations

• To add more variables to equations

• To change the order of operations

What is the inverse operation of addition?

• Multiplication

• Division

• Exponentiation

• Subtraction

How can you isolate the variable x in the equation 3 + x = 8?

• Add 3 to both sides

• Divide both sides by 3

• Subtract 3 from both sides

• Multiply both sides by 3

How do you solve the equation x - 4 = 6?

• Add 4 to both sides

• Divide both sides by 4

• Subtract 4 from both sides

• Multiply both sides by 4

What is the result of adding a negative number to both sides of an equation?

• It changes the variable to a positive

• It has no effect on the equation

• It doubles the value of the variable

• It creates a zero pair

What happens when you add a positive number to both sides of an equation with a negative addend?

• The equation becomes unsolvable

• The variable is isolated

• The equation becomes more complex

• The variable becomes negative

In the equation 8 = -0.5p, what operation would you use to solve for p?

• Add 0.5 to both sides

• Divide both sides by -0.5

• Subtract 0.5 from both sides

• Multiply both sides by -0.5

In the equation 3.2n = 9.6, what is the first step to solve for n?

• Subtract 3.2 from both sides

• Multiply both sides by 3.2

• Add 3.2 to both sides

• Divide both sides by 3.2

If you have the equation -m/4.5 = 6, what operation can help solve for m?

• Divide both sides by -4.5

• Multiply both sides by -4.5

• Subtract 4.5 from both sides

• Add 4.5 to both sides

What is the result of multiplying both sides of an equation by the reciprocal of a fraction?

• The variable is isolated

• The equation becomes a fraction

• The equation becomes unsolvable

• The variable becomes a fraction