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Grade 9 Math
21. Polynomials Unit Assessment Review
Unit Assessment Date: Wednesday January 28th, 2015
Outcomes Assessed
B3 apply the order of operations in rational number computations
B8 add and subtract polynomial expressions symbolically to solve problems
B11 evaluate polynomial expressions
B9 Find products of two monomials, a monomial and a polynomial, and two binomials concretely,
pictorially, and symbolically
B10 find quotients of polynomials with monomial divisors
B12 factor algebraic expressions with common monomial factors concretely, pictorially, and
symbolically
Directions:
 Complete each question on loose-leaf.
 Check the answer key as you go.
 Use your journal and the lesson videos to help you and ask Ms. Maier if
you get stuck.
Part A: Order of Operations (B3)
2) (-3)2 + (4 – 5)3 x 4 ÷ (-2)
1) 4 – 5 x 2 ÷ (-10) -7
Part B: Adding and Subtracting Polynomials (B8)
3) (3x2 + 5x + 2) + (x2 + 3x + 5)
4) (4x2 + 2x - 7) + (-2x2 - 3x + 10)
5) (2x2 + 5x + 13) - (x2 + 2x + 10)
6) (3x2 + 5x - 5) - (-5x2 - 2x + 4)
7) For each of the following figures, write a simplified expression for the
perimeter.
a + 10
y+5
a
2a - 3
2y - 3
8) The Smith’s have 2 decks in their backyard. The larger deck has an area of 6x2 +
3x – 4 and the smaller has an area of 2x2 – 4x + 5. Write a simplified expression
for the difference of the two areas.
Part C: Evaluating Expressions (B11)
9) Evaluate each of the following polynomials. Show all steps. Make sure to
simplify, substitute and solve.
a) 2x2 + 3x + 2 + (-5x2) when x= 2
b) 2ab + -3a + -1b + (-4ab) + 2a
when a= (-1) and b=3
Part D: Multiplying Polynomials (B9)
10) Use the area model to represent polynomial multiplication.
a) (3x)(x)
b) 2(2x + 1)
c) (x + 1)(x + 3)
d) (x - 2)(x - 3)
11) Multiply each of the following polynomials using the distributive property
(without using alge-tiles) For binomial x binomial label with the partial product
and the combined product.
a) 4x2(3x3)
b) 5(3x - 7)
c) 9x(4x – 10)
d) (x + 4)(x + 6)
e) (x - 6)(x + 9)
f) (x – 2)(x – 10)
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Part E: Dividing Polynomials (B10)
12) 5x3 + 15x + -20 =
5
13) 9a3 + 81a2 + 9a =
9a
14) 8x5 – 12x2 + 24x4 =
4x2
Part F: Factoring Polynomials (B12)
15) Factor each of the following polynomials using the area model.
a) 3x + 6
b) 4x2 + 2x
c) 2x2 – 5x
16) Factor each question below by factoring out the GCF. (Factor without using the
area model).
a) 15x + 20
c) 1x3 + 4x2 + -2x5
b) 12x2 + 9x + 3
d) -6a3 + 12a – 18a4
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Polynomial Unit Videos
P4. Subtracting Polynomials
P9. Multiplying Polynomials
Concretely Part 1
P6. Evaluating Polynomials
P10. Multiplying Polynomials
Symbolically (Part 1)
P11. Multiplying Polynomials
P12. Multiplying Polynomials
Concretely Part 2
Symbolically Part 2
P15a. Dividing Polynomials
P15b. Dividing Polynomials
(Sharing Model)
(Area Model)
P17. Factoring Polynomials
P18. Factoring Polynomials
Concretely
Symbolically
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