Name ___________________________________________
Block __________
Algebra I – Polynomials Unit Summary
This unit summary will be collected and graded as a formative assessment the class prior to your unit test (January
20th for blocks 1, 2, and 4, January 23rd for blocks 6 and 7). You are expected to complete a part of the unit
summary after each class as we learn the new material. You may get help from your teacher on any topic prior to
the due date. All answers must be filled out on the attached answer sheet. Any answers not distinctly marked will
be considered incorrect. Late work will be deducted 10% for each school day it is late. Because this assignment is
to help prepare for the test, no late work will be accepted after the day of the test.
Day 1 – Laws of Exponents and Multiplying Monomials
1. Which expression is equivalent to (5x2)(4x5)?
A) 9x7
B) 9x10
C) 20x7
D) 20x10
2. Which expression is equivalent to (4x2)3 ?
A) 12x5
B) 12x6
C) 64x5
D) 64x6
3. Which is equivalent to (6x2)(3x4)(2x5)3 ?
A) 17x21
B) 108x21
C) 144x21
D) 144x40
4. Which expression represents (3x2y4)(4xy2) in simplest form?
A) 12x2y8
B) 12x3y8
C) 12x2y6
D) 12x3y6
Day 2 – Adding, Subtracting, and Dividing Monomials
2n 2
5. Which expression is equivalent to 
?
n
A) 
2
n
C) 2n
6. Which expression represents
B) - 2n
D) 
27𝑥 18 𝑦 5
9𝑥 6 𝑦
2n
n
in simplest form?
A) 3x12y4
B) 18x12y4
C) 3x3y5
D) 18x3y5
7. Which expression represents
−14𝑎2 𝑐 8
7𝑎3 𝑐 2
A) -2ac4
B)
C) -2ac6
D)
8. Which expression represents
in simplest form?
–𝟐𝒄𝟒
𝒂
–𝟐𝒄𝟔
𝒂
(2𝑥 3 )(8𝑥 5 )
4𝑥 6
in simplest form?
A) x2
B) 4x2
C) x9
D) 4x9
9. (4x - 2y) + (-2x + 6y) = _____
A) 2x + 4y
B) -2x + 10y
C) -2x - 10y
D) 6x + 8y
10. (7x2 + 8x - 4) - (6x2 + 8x - 6) = ____
A) x2 – 10
B) x2 + 2
C) 13x2 + 16x – 10
D) 13x2 + 2
11. Which is equivalent to (15x2 + 8x – 9) + (3x2 – 2x + 8) ?
A) 12x2 – 10x – 17
B) 18x2 + 6x – 1
C) 18x2 + 10x + 17
D) 18x4 + 6x2 – 1
12. Which is equivalent to (15x2 + 3x – 6) – (15x2 + 3x + 6) ?
A) -12
B) 12
C) 0
D) 30x2 + 6x
Day 3 – Multiplying Polynomials
13. What is the product 2a(4a2 + 6)?
A) 8a3 + 8a
B) 8a3 + 12
C) 8a3 + 6
D) 8a3 + 12a
14. What is the product 2m2 (5m2 - 6m + 2)?
A) 10m4 -6m + 2
B) 10m2 -12m3 + 4m2
C) 10m4 -12m3 + 4m2
D) 10m4 -12m3 + 2
15. What is the product -3xy(3x2y + 2xy2 - 7y3)?
A) -9x3y2 - 6x2y3 + 21xy4
B) -9x3y2 + 2xy2 - 7y3
C) -9x3y2 - 6x2y3 - 7y3
D) -9x2y + 6x2y3 - 21xy4
16. What is the product (4x - 3)(x + 4)?
A) 4x2 + 8x – 12
B) 4x2 + 13x - 12
C) 4x2 + 16x – 12
D) 4x2 + 13x + 12
17. What is the product (x + 3)(5x - 2)?
A) 5x2 + 13x – 6
B) 5x2 + 15x - 6
C) 5x2 + 17x – 6
D) 5x2 + 15x + 1
18. What is the product (3x - 2)2?
A) 9x2 – 4
B) 9x2 + 4
C) 9x2 - 12x – 4
D) 9x2 - 12x + 4
19. Which is equivalent to (3x2 – 4)(2x3 + 6x) ?
A). 6x5 – 24x
B) 6x5 + 10x3 – 24x
C) 6x6 + 3x3 – 24x
D) 5x5 + 7x3 + 2
Name _______________________
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