Understanding Rational Equations

The video tutorial explains how to solve rational equations using various methods such as cross-multiplication and finding the least common denominator. It covers multiple examples, highlighting the importance of checking for excluded values that make denominators zero. The tutorial also demonstrates factoring techniques and solving both linear and quadratic equations, providing a comprehensive understanding of rational equations.

What is the result of cross multiplying 2/5 and 4/N?

• N = 2

• N = 5

• N = 10

• N = 20

Tags

CCSS.7.RP.A.3

After solving the equation x/(x+2) = 1/x, what are the solutions?

• 2 and 1

• 0 and 1

• 1 and -2

• 2 and -1

Tags

CCSS.HSA.REI.A.2

What are the excluded values for the equation x/(x+2) = 1/x?

• -2 and 0

• 2 and 1

• -1 and 1

• 0 and 1

Tags

CCSS.HSA.REI.A.2

In solving equations with different denominators, what is crucial to match across the equation?

• Numerator

• Least Common Denominator (LCD)

• Cross product

• Excluded values

Tags

CCSS.HSA.REI.A.2

What does the equation become once the denominators are matched?

• Solve for the denominator

• Focus on solving the numerator

• Cross multiply immediately

• Check for excluded values

Tags

CCSS.HSA.REI.A.2

What is the solution for the equation with denominators a+5 and a-5 after simplification?

• a = 7

• a = -5

• a = 5

• No solution

Tags

CCSS.HSA.REI.A.2

What are the excluded values for the equation involving a+5 and a-5 denominators?

• 5 and -5

• 1 and -1

• 7 and -7

• 0 and 1

What is the simplified solution for n in the equation involving n+1 and n+8 denominators?

• -51/9

• -17/3

• 51/9

• 17/3

Tags

CCSS.HSA.REI.A.2

After solving the equation with denominators X-6 and X-3, what is the solution?

• 5/19

• -19/5

• 19/5

• No solution

Tags

CCSS.HSA.REI.A.2

What are the excluded values for the equation with denominators X-6 and X-3?

• 6 and 3

• -6 and -3

• 0 and 1

• 1 and -1