Solving Two-Step Equations with Decimals

The video tutorial explains how to solve the equation 4k + 7.7 = 12.1 using two methods. The first method involves working directly with decimals, while the second method clears decimals by multiplying both sides by ten. Both methods lead to the solution k = 1.1. The tutorial also verifies the solution by substituting it back into the original equation.

What is the main goal when solving the equation 4k + 7.7 = 12.1?

• To find the value of k that makes the equation true

• To eliminate all decimals from the equation

• To convert the equation into a fraction

• To find the value of k that makes the equation false

What is the first step in solving a two-step equation?

• Multiply both sides by 10

• Undo the multiplication

• Undo the addition or subtraction

• Convert the equation to a fraction

How do you undo the addition of 7.7 in the equation 4k + 7.7 = 12.1?

• Multiply both sides by 7.7

• Add 7.7 to both sides

• Subtract 7.7 from both sides

• Divide both sides by 7.7

What is the result of dividing 4.4 by 4 in the first method?

• 1.2

• 1.0

• 1.1

• 0.9

What is the purpose of multiplying both sides of the equation by 10 in the second method?

• To make the equation more complex

• To change the equation to a fraction

• To simplify the addition

• To eliminate the decimals

After clearing decimals, what is the new equation formed?

• 4k + 77 = 12.1

• 40k + 77 = 121

• 40k + 7.7 = 121

• 4k + 7.7 = 12.1

What is the simplified form of the fraction 44/40?

• 44/40

• 5/4

• 22/20

• 11/10

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

• 1.0

• 1.1

• 1.2

• 0.9

How do you verify the solution of the equation?

• By adding the solution to both sides

• By multiplying the solution by 10

• By converting the solution to a fraction

• By checking if the left side equals the right side after substitution

What is the final solution for k in the equation 4k + 7.7 = 12.1?

• 1.0

• 1.1

• 1.2

• 0.9