 Get to know your 'nomials' in this quiz!

# Pre-Algebra - Terminologies

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Algebra has many different new words that you will come to learn and understand. Words such as variables, exponents, coefficients, monomials, binomials, trinomials and polynomials. For this quiz, we are going to focus on the following four.

A monomial is a mathematical number that stands alone and does not have a negative exponent. “Mono” refers to “one.” For example: 14x2 is a monomial as it stands alone. 26 is also a monomial. However, 9x-3 is not because the exponent is a negative.

A binomial consists of two monomials linked together with either an addition sign (+), a minus sign (-) or a multiplication sign (x). For example: 11x4 + 7x2.

A trinomial consists of three monomials linked together with either an addition sign (+), a minus sign (-) or a multiplication sign (x). For example: 6x5 + 5x2 - 4.

A polynomial consists of multiple monomials linked together. “Poly” means many. For example: 10x4 + 3x2 - 4 + 5x. In truth, a binomial and a trinomial can also be referred to as polynomial but generally a polynomial will have at least four monomials or terms as each monomial or number is also referred to as a “term.”

For each of the ten algebra factors listed below, determine whether the numbers shown are a monomial, a binomial, a trinomial or a polynomial.

1.
3x3 - 2x6
Monomial
Binomial
Trinomial
Polynomial
When two monomial numbers or terms are linked together with either an addition sign, a minus sign or a multiplication sign, they are referred to as binomials. Answer (b) is correct
2.
55 + 17x2 + 9 - 5x + 21
Monomial
Binomial
Trinomial
Polynomial
When four or more monomial numbers or terms are linked together with either an addition sign, a minus sign or a multiplication sign, they are referred to as polynomials. Answer (d) is correct
3.
8x4 + 13 + 10x2
Monomial
Binomial
Trinomial
Polynomial
When three monomial numbers or terms are linked together with either an addition sign, a minus sign or a multiplication sign, they are referred to as trinomials. Answer (c) is correct
4.
64
Monomial
Binomial
Trinomial
Polynomial
When a number or term stands alone it is referred to as being a monomial. Answer (a) is correct
5.
26x3
Monomial
Binomial
Trinomial
Polynomial
When a number or term stands alone it is referred to as being a monomial. Answer (a) is correct
6.
113x7
Monomial
Binomial
Trinomial
Polynomial
When a number or term stands alone it is referred to as being a monomial. Answer (a) is correct
7.
99x2 + 51x2
Monomial
Binomial
Trinomial
Polynomial
When two monomial numbers or terms are linked together with either an addition sign, a minus sign or a multiplication sign, they are referred to as binomials. Answer (b) is correct
8.
2x8 + 2x4 + 39 - 3x4
Monomial
Binomial
Trinomial
Polynomial
When four or more monomial numbers or terms are linked together with either an addition sign, a minus sign or a multiplication sign, they are referred to as polynomials. Answer (d) is correct
9.
30x2 + 17x2 - 4 + 12x - 3
Monomial
Binomial
Trinomial
Polynomial
When four or more monomial numbers or terms are linked together with either an addition sign, a minus sign or a multiplication sign, they are referred to as polynomials. Answer (d) is correct
10.
23x5 - 2x4 + 15x4
Monomial
Binomial
Trinomial
Polynomial
When three monomial numbers or terms are linked together with either an addition sign, a minus sign or a multiplication sign, they are referred to as trinomials. Answer (c) is correct
Author:  Christine G. Broome