Solving Equations and Inequalities

In this lesson, Mr. Hul explains how to find solutions to make equations and inequalities true using inverse operations. The video covers the concept of inverses, such as addition and subtraction or multiplication and division, and demonstrates how to apply these to solve equations and inequalities. Several example problems are solved step-by-step to illustrate the process.

What is the inverse operation of addition?

• Multiplication

• Exponentiation

• Subtraction

• Division

If 3 + G = 15, what is the value of G?

• 9

• 15

• 12

• 18

In the inequality 30 > 2D, what is the range of D?

• D < 15

• D ≤ 15

• D > 15

• D = 15

When solving 15/F < 5, what is the correct inequality for F?

• F < 3

• F > 3

• F = 3

• F ≤ 3

What happens to the inequality sign when you multiply both sides by a negative number?

• It disappears

• It becomes an equal sign

• It reverses

• It stays the same

In the equation N + 26 = 32, what is the value of N?

• 6

• 8

• 10

• 4

What is the solution to the equation 17N = 51?

• N = 3

• N = 2

• N = 5

• N = 4

If N/3 = 5, what is the value of N?

• 20

• 5

• 10

• 15

In the equation 4^S = N, what is the value of N when S = 2?

• 8

• 20

• 16

• 12

What is the inverse operation of division?

• Addition

• Subtraction

• Multiplication

• Exponentiation