Problem 14 - Elementary Algebra

Question

The prefix mono means "one." State an English word besides monomial that includes the prefix mono. Explain the meaning of the word.

Step-by-Step Solution

Answer

Monologue: A long speech by one person.

Step 1: Identify the Prefix

Recognize that the prefix 'mono-' means 'one.' Examples of its usage should convey a sense of singularity or uniqueness.

Step 2: Find a Word with the Prefix

Select an English word that includes the prefix 'mono-.' An appropriate example would be 'monologue.'

Step 3: Explain the Meaning of the Word

Define 'monologue.' The term 'monologue' combines 'mono-' meaning 'one' and 'logue' meaning 'speech.' Therefore, a monologue is a long speech by one person in a play or conversation.

Key Concepts

Monomial

A monomial is a type of algebraic expression. It consists of only one term. This term can be a number, a variable, or a product of numbers and variables.
For example, consider the expression \(3x^2\). This is a monomial because there is just one term in it.

Monomials follow these simple rules:

• Only one term is involved.
• The term can be a constant (like 5).
• It can also be a variable (like x).
• Or even have both constants and variables (like 7y or 3ab).

Learning about monomials is important in algebra. They help form the building blocks of polynomials.
Each term in a polynomial can be a monomial.

Monologue

A monologue is a speech delivered by a single person. The prefix 'mono-' means 'one.'
The suffix '-logue' comes from the Greek 'logos,' meaning 'speech.' So, a monologue is literally 'one speech.'

There are different contexts where monologues are used:

• In plays, a monologue reveals a character's thoughts or feelings.
• On TV shows, hosts often use monologues to introduce topics.

An important aspect of a monologue is how it stands alone. It's not interrupted by other characters. This distinct feature emphasizes the speaker's perspective or importance within the context.

English Prefixes

Prefixes are groups of letters added to the beginning of a word. They change the word's meaning.
The prefix 'mono-' gives a sense of singularity or oneness.

Here are some examples of words with the 'mono-' prefix:

• Monochrome: Consisting of one color.
• Monoatomic: Having one atom in the molecule.
• Monarchy: Ruled by a single person or family.

Understanding prefixes like 'mono-' is useful. It helps in deciphering the meaning of new and unfamiliar words. English has many such prefixes (like 'bi-' meaning 'two,' 'tri-' meaning 'three,' etc.), each adding a unique meaning to root words.