Download Polynomials Vocabulary Quiz

Math8 - Mrs. Hallahan
Name _____________________________ Date ________________________ Class __________
Test Review: REMINDER, TEST IS SCHEDULED FOR 10/6
Lesson 1.4 Literal Equations
Lesson 7.1 Naming, Classifying, Degree and Standard Form of Polynomials
Lesson 7.2 Adding and Subtracting Polynomials
Vocabulary – Know the full definitions. You wrote them for HW
MONOMIAL (the full definition is not just “One Term”)
DEGREE OF A MONOMIAL
POLYNOMIAL
DEGREE OF A POLYNOMIAL
STANDARD FORM OF A POLYNOMIAL
LEADING COEFFICIENT
BINOMIAL
TRINOMIAL
LITERAL EQUATION
1. Rewrite the following polynomial in standard form:
5x  4  3x 4  2x 2
2. What is the constant term in the previous polynomial?

3. What is the leading coefficient of each of the following polynomials?
a.
2x 4  7x 2 18
b.
4. What is the degree of the following polynomial:

x 3  2x 2  5x  13
8x  3x 5  10  6x 4

5. Classify the polynomial by number of terms (give the word):
a.
2x 4  7x 2 18

6. Classify the polynomial by degree (give the word):

a.
2x  3x  8
b.
5x  13
b.
5x 3  1

2
1


Match the term with it’s description
7. _____ binomial
a. A polynomial with only one term.
8. _____ standard form
b. The number that does not multiply any power of x.
9. _____ leading coefficient
c. A polynomial with two terms.
10. _____ monomial
d. Written with terms in descending order, from largest
degree to smallest degree.
11. _____ degree of a monomial
e. A polynomial with four terms.
______ degree of a polynomiall
12. _____ constant term
f. The value of the sum of the exponent of the variables
in a term
13. _____ trinomial
g. The number in front of the first term of a polynomial.
h. A polynomial with three terms.
i. The first term of a polynomial.
j. The largest term degree
14.
Circle the problems that are in standard form. If it is not in standard form, re-write in standard form.
x 3  11x 2
a.
b. 2 3x  4 x 2  3x3
________________
15.
_______________
c.
 3x  17 x 4  2 x 2
________________
d.  1  3x  2 x 2
__________________
Given: 2 x3  5 x 2  2 x 12
How many terms are there? ____
What is the coefficient of the 3rd term? ____ What is the constant? _____
16. Write the five reasons that we learned why an algebraic expression would not be classified as a polynomial. And
then give an example of each
a. ___________________________________
b. ___________________________________
c.
___________________________________
d. ___________________________________
e. ___________________________________
2
17. Circle every choice below that represents a Binomial. If it is not a Binomial explain why
2x + 4
2x – 4
2x + y
2x + 4y
2x2 + 2y-2
2y2 + 2y2
2xk + 2y2
Add or Subtract Below. Write your answer in Standard Form. Classify your result.
18. ( 19 x 2  12 x  12)  (7 x 2  10 x  13)
19. (9 x6  4 x5 )  (10 x5  15x 4  14)
20. (17x2 + 7x - 14) - (-6x2 - 5x - 18)
21. (-18x2 + 4x - 16) - (15x2 + 4x - 13)
22. What real number has no degree?
23. What type of real numbers have a degree of zero?
24. Write and example of a 5th degree trinomial where every term has at least three variables in it.
3
25. Solve each literal equation for the indicated variable.
25. Are Linear Equations classified as Literal Equations? Explain
Solve 15x + 3y = -33 for y.
then identify the slope and the y-intercept.
26. Reminder all worksheets and videos are posted on the class page under Chapter 1 and Chapter 7 Resources.
Review, Review, Review!!! Good Luck 
4
5