MATHCP Algebra I  - Unit 06: Polynomials
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.

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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8)

The company, Ault’s Fishing Lake, uses the expression  $3f + $25 as their formula for customer charges for the day where f represents the number of fish caught.  Explain, using algebraic terminology, what each part of this expression may represent.  Be sure to tell what the coefficient and constant terms are. 

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In the following problems, simplify each expression.

9) Simplify:  3(x + y) – 8y

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10) Simplify:  4m + 17n – 3m

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11) Simplify:   –2(a + 3b) + 4(2a – 3b)

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12) What is the error made in simplifying the expression?   State the correct simplified expression.

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13) 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.

14) State the degree of the polynomial. 

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15) State the degree of the polynomial.

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16) State the degree of the polynomial. 

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17) State the degree of the polynomial. 

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Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the practice worksheet.

Adding Polynomials

For the next four problems, find each sum.

18) What is the sum? 

19) What is the sum? 

20) What is the sum? 

21) What is the sum? 

22) Are polynomials closed under addition? 

23) Give an expression in simplified form for the perimeter of the figure. 

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24) Give an expression in simplified form for the perimeter of the figure.

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Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the practice worksheet.

Subtracting Polynomials

For the next four problems, find each difference.

25) What is the difference?

26) What is the difference?

27) What is the difference?

28) What is the difference?

Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the worksheet.

29) Simplify:  (6y – 2) + (7y + 3) – (2y – 6)

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30) Simplify:  7(x + 3y) + 4(3x – 4y)

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Review

31) Evaluate. 

Click here to review the unit content explanation for Expressions, Variables, and Properties.

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32) Evaluate the expression below when a = 5 and b = 3.

Click here to review the unit content explanation for Expressions, Variables, and Properties. 
 

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33) 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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34) Solve for h. 

Click here to review the unit content explanation for Expressions, Equations, and Inequalities.

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35) Solve: 12 + 3y = –21

Click here to review the unit content explanation for Integers and Equations.

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36) Simplify the expression shown below. 

Click here to review the unit content explanation for Rational Numbers and Exponents.

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