Solving Equations and Reciprocals

Dr. Nelson presents an interactive lesson on solving two-step equations with fractional coefficients. The video covers two example problems, demonstrating how to isolate variables and solve equations step-by-step. Viewers are encouraged to pause and try practice problems before reviewing solutions. Key concepts include handling fractional coefficients and using reciprocals to solve equations.

What is the main focus of this video lesson?

• Solving quadratic equations

• Understanding algebraic expressions

• Solving two-step equations with fractional coefficients

• Graphing linear equations

What is the first step in solving the equation 3/4n + 10 = 19?

• Divide both sides by 3/4

• Subtract 10 from both sides

• Add 10 to both sides

• Multiply both sides by 4/3

What is the result after subtracting 10 from both sides in the equation 3/4n + 10 = 19?

• 3/4n = 29

• 3/4n = 9

• 3/4n = 19

• 3/4n = -9

In the equation 1/2n - 3 = -8, what is the first step to isolate n?

• Multiply both sides by 2

• Divide both sides by 1/2

• Subtract 3 from both sides

• Add 3 to both sides

What is the result after adding 3 to both sides in the equation 1/2n - 3 = -8?

• 1/2n = 11

• 1/2n = 5

• 1/2n = -11

• 1/2n = -5

How do you isolate n in the equation 3/4n = 9?

• Multiply both sides by 4/3

• Divide both sides by 3/4

• Add 3/4 to both sides

• Subtract 3/4 from both sides

What is the reciprocal of 3/4?

• 4/3

• 3/4

• 1/3

• 1/4

What is the solution for n in the equation 3/4n = 9?

• n = 12

• n = 4

• n = 3

• n = 9

How do you isolate n in the equation 1/2n = -5?

• Add 1/2 to both sides

• Divide both sides by 1/2

• Subtract 1/2 from both sides

• Multiply both sides by 2

What is the solution for n in the equation 1/2n = -5?

• n = 10

• n = -10

• n = -5

• n = 5