Using Additive Inverses to Solve Equations

This video tutorial teaches how to solve equations in one variable using additive inverses. It begins with an introduction to the concept of additive inverses and the additive property of equality. The tutorial then demonstrates solving equations by isolating the variable using additive inverses, providing practical examples and methods to verify solutions. The lesson emphasizes understanding the equivalence of values when the same operation is applied to both sides of an equation.

What does the additive property of equality state?

• Adding different numbers to both sides of an equation keeps them equal.

• Adding the same number to both sides of an equation keeps them equal.

• Multiplying both sides of an equation by the same number keeps them equal.

• Subtracting the same number from both sides of an equation makes them unequal.

What is the additive inverse of 5?

• 5

• 10

• -5

• 0

If X - 1 = 0, what is the value of X?

• -1

• 2

• 1

• 0

How do you isolate X in the equation X + 5 = 10?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

What is the solution to the equation X - 2 = 7?

• 2

• 9

• 7

• 5