Adding and Subtracting Rational Expressions Explained

This video tutorial covers adding and subtracting rational expressions, focusing on both same and different denominators. It provides step-by-step examples, explains how to find the least common denominator, and discusses domain restrictions. The tutorial concludes with a summary and instructions for submitting notes and assignments.

What is the result of adding x/8 + x/8?

• x/8

• x/4

• 2x/8

• 1/16

What is the simplified form of (7+x) - (3+x) over 2x?

• 4/x

• 2/x

• 4/2x

• x/4

What is the domain of the expression 2/x?

• x < 0

• All real numbers

• All real numbers except zero

• x > 0

When simplifying the expression 5a - 5b over a - b, what factor can be factored out?

• a - b

• 5

• b

• a

What is the least common denominator for fractions with denominators 3 and 7?

• 21

• 10

• 14

• 9

What is the simplified form of the expression 7y + 49 - 3y + 15 over 21?

• 4y + 16/21

• y + 16/21

• 4y + 64/21

• 7y + 64/21

What is the domain of the expression x/4 derived from 9x/36?

• x > 0

• All real numbers except zero

• x < 0

• All real numbers

What is the result of combining the terms 6, 3m, and -2m^2 over m^3?

• -2m^2 + 6 + 3m/m^3

• 6 + 3m - 2m^2/m^3

• 3m - 2m^2 + 6/m^3

• -2m^2 + 3m + 6/m^3

What is the domain of the expression with denominator m^3?

• m < 0

• m > 0

• All real numbers except zero

• All real numbers

What is the correct simplification process when dealing with different denominators in rational expressions?

• Combine numerators directly

• Find the least common multiple of denominators

• None of the above

• Subtract the numerators