Solving Linear Equations and Inequalities

Dr. Nelson explains how to solve two-step equations. The video begins with an introduction and a list of materials needed, such as a pencil and highlighters. Dr. Nelson then demonstrates solving two-step equations by eliminating constants and coefficients. Viewers are encouraged to pause the video to try solving problems on their own. The video concludes with solutions to practice problems, reinforcing the pattern of solving two-step equations by first removing the constant and then the coefficient.

What materials are needed to follow along with the video tutorial?

• A notebook and a ruler

• A pen and a protractor

• A pencil and two or three different crayons or highlighters

• A pencil and a calculator

What is the purpose of using different colors in solving equations?

• To confuse the students

• To make the notes look pretty

• To highlight different steps and components

• To match the colors of the textbook

In the equation 8b + 5 = 29, what is the first step to solve it?

• Subtract 5 from both sides

• Divide both sides by 8

• Add 5 to both sides

• Multiply both sides by 8

What is the result after subtracting 5 from both sides in the equation 8b + 5 = 29?

• 8b = 19

• 8b = 29

• 8b = 24

• 8b = 34

What is the inverse operation of multiplication used in solving equations?

• Addition

• Subtraction

• Division

• Multiplication

In the equation 8b + 5 = 29, what is the coefficient?

• 8

• b

• 5

• 29

What is the result of dividing 24 by 8 in the equation 8b = 24?

• b = 2

• b = 3

• b = 4

• b = 5

In the equation 3F + 5 = 20, what is the constant that needs to be eliminated first?

• 5

• F

• 3

• 20

After eliminating the constant in 3F + 5 = 20, what is the next step?

• Subtract 5 from both sides

• Divide both sides by 3

• Multiply both sides by 3

• Add 5 to both sides

What is the final value of F in the equation 3F + 5 = 20?

• F = 3

• F = 15

• F = 20

• F = 5