Adding two rational expressions with trinomial denominators

Adding two rational expressions with trinomial denominators

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers the concept of finding the least common multiple (LCM) in algebraic expressions, starting with basic numbers and variables. It progresses to factoring trinomials and rewriting expressions to find the LCM. The tutorial explains how to multiply and combine terms, apply the distributive property, and simplify expressions to reach the final answer. The instructor emphasizes the importance of using the least common multiple to avoid unnecessary simplification later.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the LCM of 1/4 and 3/6?

24

12

18

6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dealing with trinomials, why is it important to use the least common multiple?

To ensure all terms are multiplied

To make calculations more complex

To avoid simplification later

To increase redundancy

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you factor the expression y^2 - 3y - 10?

(y + 1)(y - 10)

(y - 5)(y + 2)

(y + 5)(y - 2)

(y - 3)(y + 3)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the LCM of the factored terms y - 5 and y + 2?

y - 5

y - 1

y + 2

(y - 5)(y + 2)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of combining like terms in the expression 2y^2 - 11y + 5?

2y^2 - 10y + 5

2y^2 - 11y + 5

y^2 - 11y + 5

2y^2 - 12y + 5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which expression can be further factored to simplify the final answer?

y + 2

2y - 1

2y^2 - 11y + 5

y - 5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified expression after canceling out common factors?

y - 1 / (y - 5)(y + 2)

y - 5 / (y - 1)(y + 2)

2y - 1 / (y - 1)(y + 2)

2y - 1 / y + 2