Solving Equations with Decimals

The video tutorial explains how to solve the equation 3.2x - 0.29 = 1.5x + 1.58 by first clearing decimals through multiplication by 100. It then guides through simplifying the equation to isolate x, solving for x, and verifying the solution by substitution. The solution is presented in both fractional and decimal forms, with a final verification step to ensure accuracy.

What is the first step in solving the equation 3.2x - 0.29 = 1.5x + 1.58?

• Subtract 1.5x from both sides

• Multiply both sides by 100

• Isolate x on one side

• Add 0.29 to both sides

Why do we multiply both sides of the equation by 100?

• To eliminate the variable x

• To clear the decimals

• To simplify the equation

• To add fractions

After clearing decimals, what is the next step in solving the equation?

• Add 29 to both sides

• Subtract 150x from both sides

• Divide by 100

• Multiply by 170

What operation is performed to eliminate 150x from the right side?

• Division

• Addition

• Multiplication

• Subtraction

What is the simplified fraction form of the solution?

• 17/10

• 187/170

• 1.1

• 11/10

What is the decimal equivalent of the fraction 11/10?

• 10.1

• 0.11

• 1.1

• 1.01

What common factor is used to simplify the fraction 187/170?

• 17

• 10

• 11

• 1

How do you verify the solution of the equation?

• By checking if both sides are equal after substitution

• By multiplying both sides by 100

• By simplifying the fraction

• By adding 29 to both sides

What is the result of 3.2 * 1.1 - 0.29?

• 0.29

• 1.1

• 3.2

• 3.23

What is the final value of x in decimal form?

• 11.0

• 0.1

• 1.1

• 1.0