Solving Equations and LCM Problems

This video tutorial focuses on solving rational equations. It begins with an introduction to rational equations and demonstrates how to solve them by clearing fractions and finding the least common multiple. The tutorial progresses to solving equations using cross multiplication and square roots. It also covers more complex rational equations, providing step-by-step solutions. The video concludes with a final example, reinforcing the methods taught.

What is the least common multiple of 8, 5, and 10?

• 50

• 30

• 40

• 20

How do you solve the equation x + 8/x = 6?

• Multiply both sides by 6

• Multiply both sides by x

• Add 8 to both sides

• Subtract 6 from both sides

What are the solutions for the equation x^2 - 6x + 8 = 0?

• x = 0 and x = 8

• x = 3 and x = 5

• x = 1 and x = 7

• x = 2 and x = 4

What is the result of cross-multiplying the equation x + 3/x - 3 = 12/3?

• 12x + 9 = 3x - 36

• 12x - 9 = 3x + 36

• 12x + 36 = 3x - 9

• 12x - 36 = 3x + 9

What is the solution for the equation 9/x = x/4?

• x = 12

• x = 9

• x = 6

• x = 3

How do you solve the equation 4/x + 8/(x+2) = 4?

• Subtract 8 from both sides

• Multiply by x

• Multiply by x(x+2)

• Add 4 to both sides

What is the least common multiple of 2 and 3?

• 4

• 5

• 6

• 7

What are the solutions for the equation x^2 - 10x - 39 = 0?

• x = 10 and x = -4

• x = 6 and x = -6

• x = 13 and x = -3

• x = 7 and x = -5

How do you factor the expression x^2 - 25?

• (x + 2)(x - 2)

• (x + 4)(x - 4)

• (x + 3)(x - 3)

• (x + 5)(x - 5)

What is the solution for the equation x^2 - 5x - 39 = 0?

• x = 6 and x = -6

• x = 10 and x = -4

• x = 7 and x = -5

• x = 13 and x = -3