Solving One-Step Equations with Fractions

Mr. Dorard introduces solving one-step equations with fractions, emphasizing the use of inverse operations. He explains how to handle fractions by multiplying by the reciprocal and provides examples and practice problems. The video aims to build confidence in dealing with fractions and prepares students for more complex equations.

What is the inverse operation used to solve the equation 3x = 9?

• Subtraction

• Addition

• Division

• Multiplication

Tags

CCSS.HSA.REI.A.1

In the equation x/5 = 9, what operation is used to isolate x?

• Addition

• Subtraction

• Division

• Multiplication

Tags

CCSS.HSA.REI.A.1

How do you solve an equation with a compound fraction like 3/5ths * x = 9?

• Divide by 3/5

• Multiply by 5/3

• Subtract 3/5

• Add 5/3

Tags

CCSS.6.EE.B.7

What is the reciprocal of 3/5?

• 2/5

• 5/2

• 5/3

• 3/5

If you have the equation 3/5x = 15, what is the first step to solve it using two-step method?

• Multiply by 5

• Divide by 3

• Divide by 5

• Multiply by 3

Tags

CCSS.6.EE.B.7

What does multiplying by the reciprocal achieve in solving equations?

• None of the above

• Creates a new equation

• Cancels out the fraction

• Changes the equation type

Tags

CCSS.6.EE.B.7

What is the result of 8 * 7/2 when solving the equation 2/7x = 8?

• 56

• 28

• 14

• 7

Tags

CCSS.6.EE.B.7

How do you handle negative signs when dealing with reciprocals in equations?

• Ignore the signs

• Cancel them out

• Add them to the denominator

• Keep them on the numerator

Tags

CCSS.HSA.REI.A.2

What is the reciprocal of a whole number 10?

• 10/1

• 10

• 0.1

• 1/10

In the equation -1/11x = -121, what is x?

• 11

• -1321

• -11

• 1321

Tags

CCSS.6.EE.B.7