Exploring M6.5v1.1: Adding and Subtracting Rational Expressions

This video tutorial introduces equations and inverse operations, explaining how to define and solve equations using inverse operations. It covers solving equations with variables through mental math and checking solutions. The tutorial also explains inverse operations, detailing how addition and subtraction, as well as multiplication and division, can undo each other. It provides steps for solving one-step equations using inverse operations and demonstrates solving equations with both addition and subtraction, emphasizing the properties of equality.

What is an equation?

• A number that represents an unknown value.

• A process of adding and subtracting numbers.

• A method to solve for unknown variables.

• A mathematical statement that uses an equal sign to show that two expressions are equal.

What is a variable in an equation?

• A solution to the equation.

• A mathematical operation.

• A letter that represents an unknown number.

• A known number.

In the equation X - 2 = 7, what is the value of X?

• 5

• 7

• 9

• 11

What is the purpose of inverse operations in solving equations?

• To make the equation more complex.

• To undo each other and isolate the variable.

• To add more variables to the equation.

• To check the solution of the equation.

Which of the following is an example of inverse operations?

• Multiplication and addition

• Subtraction and division

• Addition and multiplication

• Addition and subtraction

In the equation X - 3 = 4, what is the value of X after using inverse operations?

• 1

• 4

• 7

• 10

In the equation 15 = K - 8, what is the value of K?

• 7

• 30

• 15

• 23

What is the subtraction property of equality?

• When you subtract the same number from both sides of an equation, the two sides remain equal.

• When you divide the same number on both sides of an equation, the two sides remain equal.

• When you add the same number to both sides of an equation, the two sides remain equal.

• When you multiply the same number on both sides of an equation, the two sides remain equal.

In the equation X + 5 = 16, what is the value of X?

• 11

• 16

• 21

• 5

In the equation 13 = 9 + R, what is the value of R?

• 6

• 5

• 4

• 3