Solving Equations with Decimals

Mr. Buffington guides learners through solving one-step equations involving decimals. The lesson covers different types of decimals, a three-step process for solving equations, and multiple examples to illustrate the concepts. Each example includes a detailed solution and verification process, emphasizing the importance of checking work. The lesson concludes with a focus on handling negative decimals and encourages practice and verification.

Which of the following is an example of a positive decimal?

• -0.0003

• 15.23

• 0.0003

• -5.023

What is the first step in solving one-step equations with decimals?

• Multiply all numbers

• Subtract all numbers

• Identify the variable

• Add all numbers

What is the inverse operation of subtraction?

• Multiplication

• Division

• Addition

• Subtraction

In the equation X - 3.2 = 8.5, what operation should be performed to isolate X?

• Add 3.2 to both sides

• Subtract 3.2 from both sides

• Multiply both sides by 3.2

• Divide both sides by 3.2

How do you check if your solution to an equation is correct?

• By using a calculator

• By asking a friend

• By guessing

• By substituting the solution back into the original equation

What is the result of adding 8.5 and 3.2?

• 12.7

• 9.7

• 11.7

• 10.7

In the equation X + 0.6 = -1.2, what is the value of X?

• -1.8

• -0.6

• 0.6

• 1.8

What is the inverse operation of adding 0.6?

• Subtracting 0.6

• Adding 0.6

• Multiplying by 0.6

• Dividing by 0.6

When solving X - 3.8 = -0.04, what should you add to both sides?

• -0.04

• 0.04

• 3.8

• -3.8

What is the result of subtracting 3.8 from 3.76?

• -0.04

• 0.04

• -0.24

• 0.24