Understanding Inverse Operations and Equations

This video tutorial covers the concept of inverse operations, which are operations that undo each other, such as addition and subtraction or multiplication and division. It demonstrates how to solve one-step equations using these operations, including examples with whole numbers and negative numbers. The tutorial also provides advanced examples, methods to check solutions, and explains the use of multiplication and division as inverse operations. The lesson concludes with a summary and introduces the next topic.

What are inverse operations?

• Operations that are identical

• Operations that are unrelated

• Operations that undo each other

• Operations that repeat each other

Which of the following pairs are inverse operations?

• Addition and subtraction

• Subtraction and division

• Addition and multiplication

• Multiplication and addition

How can you solve the equation 3 + x = 8?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

What is the result of solving x - 4 = 6?

• x = 12

• x = 10

• x = 2

• x = 4

How do you handle negative numbers in equations?

• Ignore the negative sign

• Add the negative number to both sides

• Subtract the negative number from both sides

• Multiply the negative number by both sides

What is the solution to x + 4.1 = -7.2?

• x = 11.3

• x = -3.1

• x = -11.3

• x = 3.1

How do you solve 8 = -0.5p using division?

• Add 0.5 to both sides

• Divide both sides by -0.5

• Multiply both sides by -0.5

• Subtract 0.5 from both sides

What is the value of p in the equation 8 = -0.5p?

• p = 16

• p = 8

• p = -8

• p = -16

How can you solve -m/4.5 = 6 using multiplication?

• Multiply both sides by 4.5

• Divide both sides by 4.5

• Add 4.5 to both sides

• Subtract 4.5 from both sides

What is the solution to -m/4.5 = 6?

• m = 27

• m = -6

• m = 6

• m = -27