Polynomials
For the first five questions, indicate whether each expression is a polynomial by writing yes or no. If it is, classify it as a monomial, binomial, or trinomial.
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| 1) Polynomial? If so, is the polynomial a monomial, binomial, or trinomial?
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| 2) Polynomial? If so, is the polynomial a monomial, binomial, or trinomial?
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| 3) Polynomial? If so, is the polynomial a monomial, binomial, or trinomial?
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| 4) Polynomial? If so, is the polynomial a monomial, binomial, or trinomial?
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| 5) Polynomial? If so, is the polynomial a monomial, binomial, or trinomial?
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| 6) List the coefficients in the terms of the trinomial?
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| 7) What is the constant in the trinomial?
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In the following problems, simplify each expression.
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| 8) Simplify: 3(x + y) – 8y
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| 9) Simplify: 4m + 17n – 3m
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| 10) Simplify: –2(a + 3b) + 4(2a – 3b)
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| 11) What is the error made in simplifying the expression? State the correct simplified expression. |
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| 12) What is the error made in simplifying the expression? State the correct simplified expression. |
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In the following problems, find the degree of each polynomial.
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Adding Polynomials
For the next three problems, find each sum.
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| 17) What is the sum?
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| 18) What is the sum?
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| 19) What is the sum?
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| 20) Are polynomials closed under addition?
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| 21) Give an expression in simplified form for the perimeter of the figure.
Hint: Combine like terms.
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| 22) Give an expression in simplified form for the perimeter of the figure.
Hint: Perimeter is the distance around the figure which includes all four sides.
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Subtracting Polynomials
For the next four problems, find each difference.
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| 23) What is the difference?
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| 24) What is the difference?
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| 25) What is the difference?
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| 26) What is the difference?
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| 29) Use the distributive property to simplify: –2(6b – 3)
Click here to review the unit content explanation for Expressions, Equations, and Inequalities.
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| 31) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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