Solving One-Step Equations with Fractions and Decimals

The video tutorial provides practice in solving equations with decimals and fractions. It covers solving for variables in equations like 1.2c = 0.6, 1/4 = y/12, 4.5 = 0.5n, and g/4 = 3.2. The instructor demonstrates methods such as dividing or multiplying both sides of the equation to isolate the variable, and explains how to handle decimals and fractions effectively.

What is the first step to isolate the variable c in the equation 1.2c = 0.6?

• Multiply both sides by 1.2

• Divide both sides by 1.2

• Subtract 1.2 from both sides

• Add 1.2 to both sides

After dividing both sides of 1.2c = 0.6 by 1.2, what is the next step to simplify 0.6/1.2?

• Divide numerator and denominator by 6

• Multiply numerator and denominator by 10

• Multiply numerator and denominator by 5

• Divide numerator and denominator by 2

What is the value of c in the equation 1.2c = 0.6?

• 1/3

• 1/4

• 1

• 1/2

In the equation 1/4 = y/12, what operation is used to isolate y?

• Subtract 12 from both sides

• Divide both sides by 12

• Multiply both sides by 4

• Multiply both sides by 12

What is the value of y in the equation 1/4 = y/12?

• 4

• 2

• 6

• 3

In the equation 4.5 = 0.5n, what operation is used to isolate n?

• Multiply both sides by 0.5

• Divide both sides by 0.5

• Add 0.5 to both sides

• Subtract 0.5 from both sides

What is the value of n in the equation 4.5 = 0.5n?

• 10

• 8

• 7

• 9

In the equation g/4 = 3.2, what operation is used to isolate g?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 4

• Divide both sides by 4

What is the value of g in the equation g/4 = 3.2?

• 13.8

• 12.8

• 11.8

• 10.8

Which of the following is a correct verification for the solution g = 12.8 in the equation g/4 = 3.2?

• 12.8 minus 4 equals 3.2

• 12.8 divided by 4 equals 3.2

• 12.8 multiplied by 4 equals 3.2

• 12.8 plus 4 equals 3.2