Solving One Step Equations with Decimals

The video tutorial explains how to solve linear equations by isolating the variable. It covers two examples: solving X/5.1 = 4.5 and 4.7X = 12.96. The tutorial demonstrates the steps to isolate the variable, perform arithmetic operations, and verify the solutions. It emphasizes understanding the process of undoing operations to solve equations.

What is the first step in solving the equation X/5.1 = 4.5?

• Add 5.1 to both sides

• Subtract 5.1 from both sides

• Multiply both sides by 5.1

• Divide both sides by 4.5

Why do we multiply both sides of the equation by 5.1?

• To add a common factor

• To isolate the variable X

• To convert it to a fraction

• To simplify the equation

How many decimal places should the product of 5.1 and 4.5 have?

• Four

• One

• Two

• Three

What is the product of 5.1 and 4.5?

• 22.95

• 21.95

• 22.45

• 20.95

What is the solution to the equation X/5.1 = 4.5?

• 20.95

• 21.95

• 22.95

• 22.45

What is the second example equation given in the tutorial?

• 3.5X = 10.5

• 6.2X = 18.6

• 5.1X = 22.95

• 4.7X = 12.96

What operation is needed to isolate X in the equation 4.7X = 12.96?

• Add 4.7 to both sides

• Divide both sides by 4.7

• Subtract 4.7 from both sides

• Multiply both sides by 4.7

What is the quotient of 12.96 divided by 4.7?

• 2.9

• 2.7

• 2.6

• 2.8

How do you verify the solution to the equation 4.7X = 12.96?

• By dividing the solution by 4.7

• By multiplying the solution by 4.7

• By subtracting the solution from both sides

• By adding the solution to both sides

What is the final product when verifying the solution to 4.7X = 12.96?

• 12.69

• 12.79

• 12.89

• 12.96