8.1-3 Quiz

Question 1

Rational Expression

Answer 1

A ratio of two polynomial expressions

Question 2

Steps to Simplify Rational Expressions

Answer 2

1. Factor everything that can be factored
2. Simplify the monomials (use the exponent rules)
3. Eliminate common binomial factors

Question 3

Remember

Answer 3

a-b/b-a = a-b/-1(a-b)

Question 4

Multiplying Rational Expressions With Monomials Only

Answer 4

Multiply across rows and use exponent rules

Question 5

Multiplying Rational Expressions With Binomials/Trinomials

Answer 5

Factor everything you can first, then simplify

Question 6

Dividing Rational Expressions

Answer 6

Check for division, then multiply by the recipricol

Question 7

Steps to Adding and Subtracting Rational Expressions

Answer 7

1. Rewrite the problem using a common denominator
2. Combine the numerators and keep the common denominator
3. Simplify the remaining expression

Question 8

Steps to Adding and Subtracting Rational Expressions With Unlike Bases

Answer 8

1. Find LCD
2. Multiply each term by what is missing to get common denominator
3. Combine the numerators and keep the common denominator
4. Simplify the remaining expression

Question 9

Complex Fraction

Answer 9

A fraction in which the numerator and/or denominator contains fractions

Question 10

To Simplify a Complex Fraction Means To

Answer 10

Rewrite as a single fraction with no fractions in the numerator or denominator

Question 11

Steps to Simplifying Complex Fractions

Answer 11

1. Create a single fraction in the numerator and denominator
2. Set up as a division problem, then multiply by the reciprocal
3. Simplify, factoring first if possible

Question 12

Steps to Simplifying Complex Fractions With More Than One Fraction

Answer 12

1. Find LCD
2. Multiply every term by LCD/1 to clear fractions
3. Simplify if possible