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Math: Middle School: Grades 6, 7 and 8 Quiz - Pre-Algebra - Terminologies (Questions)

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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.

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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.”

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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. 113x7
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
2. 2x8 + 2x4 + 39 - 3x4
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
3. 8x4 + 13 + 10x2
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
4. 3x3 - 2x6
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
5. 30x2 + 17x2 - 4 + 12x - 3
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
6. 26x3
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
7. 99x2 + 51x2
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
8. 23x5 - 2x4 + 15x4
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
9. 64
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
10. 55 + 17x2 + 9 - 5x + 21
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
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Math: Middle School: Grades 6, 7 and 8 Quiz - Pre-Algebra - Terminologies (Answers)
1. 113x7
[x] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
When a number or term stands alone it is referred to as being a monomial. Answer (a) is correct
2. 2x8 + 2x4 + 39 - 3x4
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[x] 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
[x] 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. 3x3 - 2x6
[ ] Monomial
[x] 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
5. 30x2 + 17x2 - 4 + 12x - 3
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[x] 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
6. 26x3
[x] 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
[x] 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. 23x5 - 2x4 + 15x4
[ ] Monomial
[ ] Binomial
[x] 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
9. 64
[x] Monomial
[ ] Binomial
[ ] Trinomial
[ ] Polynomial
When a number or term stands alone it is referred to as being a monomial. Answer (a) is correct
10. 55 + 17x2 + 9 - 5x + 21
[ ] Monomial
[ ] Binomial
[ ] Trinomial
[x] 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