Which way would you solve the two step equation with fractions

The video tutorial explores different methods to solve the equation X + 3 / 5 = 7. It begins with a traditional approach using inverse operations and highlights common student confusions. The tutorial then introduces the concept of distributive property in division, showing how division can be rewritten as multiplication by a reciprocal. It further explains solving equations using common denominators and multiplying by reciprocals, emphasizing equivalent equations and the importance of understanding different methods to isolate the variable X.

What is the first step in solving the equation X + 3 / 5 = 7 using inverse operations?

• Subtract 3 from both sides

• Multiply both sides by 5

• Divide both sides by 3

• Add 5 to both sides

How can the equation X + 3 / 5 = 7 be rewritten using the concept of reciprocals?

• X + 3 = 7 * 5

• X + 3 = 7 / 5

• X + 3 = 7 * 1/5

• X + 3 = 7 / 1/5

What is the result of multiplying both sides of the equation X + 3 / 5 = 7 by 5?

• X + 3 = 35

• X + 3 = -35

• X + 3 = 7

• X + 3 = -7

When solving X + 3 / 5 = 7, what is the purpose of finding the least common denominator?

• To add fractions

• To eliminate fractions

• To multiply fractions

• To simplify the equation

What operation can be used to isolate X in the equation 1/5 * X + 3 = -35?

• Subtract 3 from both sides

• Multiply by 5/1 on both sides

• Divide by 5 on both sides

• Add 3 to both sides

How can you handle the fraction 1/5 when solving for X in the equation 1/5 * X = -38/5?

• Multiply by 1/5

• Divide by 5

• Multiply by 5

• Divide by 1/5

What is the final value of X when solving the equation X + 3 / 5 = 7?

• X = 38

• X = 35

• X = -35

• X = -38