Questions

MATH Integrated Math I - Unit 29: Polynomials

Polynomials

For the first three problems, decide if each expression is a polynomial. If the expression is a polynomial, then decide if the polynomial is a monomial, a binomial, or a trinomial.

1) Polynomial?

a.) Yes, the expression is a monomial

b.) Yes, the expression is a binomial.

c.) Yes, the expression is a trinomial.

d.) The expression is not a polynomial.

2) Polynomial?

a.) Yes, the expression is a monomial.

b.) Yes, the expression is a binomial.

c.) Yes, the expression is a trinomial.

d.) The expression is not a polynomial.

3) Polynomial?

a.) Yes, the expression is a monomial.

b.) Yes, the expression is a binomial.

c.) Yes, the expression is a trinomial.

d.) The expression is not a polynomial.

For the next two problems, determine the “degree” of the polynomial.

4) What is the degree of the polynomial?

a.) 3

b.) 6

c.) 7

d.) 9

5) What is the degree of the polynomial?

a.) 5

b.) 7

c.) 2

d.) 3

For the next three problems, simplify each expression by combining like terms.

6) 8x + 5x

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7) 11a + 14a + 26

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8) 5xy + 4xy – xy (Note: The coefficient for " – xy" is understood to be –1. "– xy = – 1xy")

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Adding Polynomials

For the next three problems, add the polynomials. State the letter of the correct answer.

9) What is the sum?

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10) What is the sum?

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11) What is the sum?

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For the next two problems, find the perimeter of the polygons. State the answer as an expression in simplified form.

12) What is the perimeter of the trapezoid?

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13) What is the perimeter of the rectangle?

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For the next two problems, find the sum of the polynomials. Recall that terms with variable factors that are exactly the same are called “like terms”. State the letter of the correct answer.

14) Find the sum.

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15) Find the sum.

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Subtracting Polynomials

For the next six problems, subtract the polynomials. State the letter of the correct answer.

16) What is the difference?

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17) What is the difference?

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18) What is the difference?

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19) What is the difference?

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20) What is the difference?

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21) What is the difference?

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Multiplying and Dividing Monomials and Polynomials

For the next four problems, distribute the monomial over each term of the polynomial. State the letter of the correct answer.

22) Find the product.

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23) Find the product.

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24) Find the product.

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25) Find the product.

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For the next three problems, rewrite the quotient into a sum of the terms, and then apply the properties of exponents to divide. State the letter of the correct answer.

26) Find the quotient.

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27) Find the quotient.

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28) Find the quotient.

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Multiplying Binomials by Binomials

29) Find the product.

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30) Find the product.

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31) Find the product.

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32) Find the product.

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33) What expression represents the area of a square rug that has sides that are (y + 3) units long? Express the answer in terms of “y”.

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