Solving Fraction Problems with Rational Equations

This video tutorial teaches how to solve fraction problems by writing and solving rational equations. It covers the concept of rational expressions, equivalent rational expressions, and the importance of checking for extraneous solutions. The tutorial explains factoring quadratic equations, solving rational equations using the least common denominator, and handling equations involving reciprocals. It emphasizes the need to verify solutions to ensure they are not extraneous and provides examples to illustrate these concepts.

What is a rational expression?

• A sum of two integers

• A ratio of two polynomial expressions

• A difference of two whole numbers

• A product of two fractions

What must be checked when solving rational equations?

• For irrational solutions

• For complex solutions

• For integer solutions

• For extraneous solutions

In the equation x - 1 over x + 2 equals 2/3, what is the value of x?

• 8

• 5

• 7

• 6

What is the reciprocal of a number x?

• x plus 1

• x minus 1

• 1 over x

• x squared

What are the solutions for the equation x plus 6 times 1 over x equals 5?

• x equals 2 and 3

• x equals 1 and 2

• x equals 3 and 4

• x equals 4 and 5

What is the improper fraction form of 7 and 1/3?

• 20/3

• 23/3

• 21/3

• 22/3

What are the solutions for the equation x plus 8 times 1 over x equals 22/3?

• x equals 5 and 6

• x equals 4/3 and 6

• x equals 5 and 7

• x equals 4/3 and 5