Solving Equations Involving Fractions

The video tutorial reviews solving equations with fractions, starting with a brief introduction and a recap of previous lessons. It then provides a detailed, step-by-step solution to two equations involving fractions, demonstrating how to eliminate fractions by multiplying through by a common denominator. The tutorial also explains alternative ways to represent fractions in equations. Finally, it concludes with instructions for the next class, encouraging students to bring their notes and complete an online form.

What is the first step in solving an equation with fractions?

• Add all the fractions together

• Multiply everything by a common denominator

• Subtract the fractions from both sides

• Divide by the largest denominator

What common denominator is used to solve the equation X/2 + X/5 = 6?

• 5

• 2

• 10

• 1

After multiplying by the common denominator, what is the next step?

• Subtract the fractions

• Combine like terms

• Divide by the common denominator

• Add the fractions

What is the solution to the equation X/2 + X/5 = 6?

• X = 5/6

• X = 7/60

• X = 6/5

• X = 60/7

What common denominator is used to solve the equation X/3 + (X-1)/4 = 2 + X?

• 1

• 12

• 4

• 3

What is the result of dividing 12X by 3 in the second example?

• 3X

• 4X

• X

• 12X

What is the final solution to the equation X/3 + (X-1)/4 = 2 + X?

• X = -5/27

• X = 5/27

• X = -27/5

• X = 27/5

How can X/3 be rewritten?

• 3 * X

• X/1

• 1/3 * X

• 3/X

What is another way to write 2X/5?

• 5/2 * X

• 2/5 * X

• X/2

• 5/2X

What should students bring to class tomorrow?

• Their notes with worked-out problems

• A calculator

• A ruler

• Their textbooks