Additive Inverses and Equations

This video tutorial teaches how to find the additive inverse of a number using equations. It begins by explaining the concept of additive inverse, which is a number that, when added to the original number, results in zero. The tutorial differentiates between equations and expressions and demonstrates how to find the additive inverse using algebraic equations. It provides examples, including solving for missing values, and concludes with an advanced example to reinforce the learning.

What is the additive inverse of a number?

• A number that is always negative.

• A number that when added to the original number results in zero.

• A number that is always positive.

• A number that when multiplied by the original number results in one.

What is the result of adding a number to its additive inverse?

• A negative number

• 1

• The number itself

• 0

What is the additive inverse of -9?

• 9

• -9

• 0

• 18

Which of the following is an equation?

• x plus 15

• Negative 28 plus x equals 15

• 28 minus x

• Negative 28 plus x

Which statement is true about expressions and equations?

• Equations have an equal sign and a specific value.

• Equations do not have a specific value.

• Expressions always have an equal sign.

• Expressions and equations are the same.

In the equation 5 = 0 + 5, what is the additive inverse of 5?

• 0

• 10

• 5

• -5

How do you find the value of x in the equation -50 + x = 0?

• x = 0

• x = -50

• x = 100

• x = 50

In the equation x = 0 + 50, what does x represent?

• The additive inverse of -50

• The original number

• Zero

• A variable with no value

What is the additive inverse of 136?

• 0

• 68

• 136

• -136

In the equation 136 + (-136) = 0, what does this demonstrate?

• The sum of two positive numbers.

• The sum of a number and its additive inverse is zero.

• The product of a number and its inverse.

• The difference between two numbers.