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Multiplying Polynomials: Algebraic Fluency
Name
Algebra I
Level 1 – I can expand a polynomial expression using the distributive property.
1.
3x(4 x − 7) = __________________
2.
− 2 x(4 x − 5) = __________________
Level 2 – I can expand a polynomial expression by multiplying binomials.
3.
(3x − 2)(2 x − 6) = __________________
4.
(4 x + 5)(6 x − 5) = __________________
5.
( x − 2)(3 x + 5) = __________________
6.
(3 x − 4)( x + 5) = __________________
Level 3 – I can expand a polynomial expression involving multiplication .
(3 x + 2 y)(2 x + 5 y) = __________________
7.
( x − 2)(3x 2 + x − 4) = __________________
8.
9.
(5 x + 6)( x 2 + x − 1) = __________________
10. (3 x − 4 y )( x + 5 y ) = __________________
Level 4– I can expand rational expressions involving multiplication.
 2 x − 5  3x + 2 

 = __________________
 x + 3  x 
11. 
 2 x  x + 2 

 = __________________
 x − 1  x + 1 
12. 
Deep Practice Answers to Multiply Polynomials: Algebraic Fluency
2
1. 12 x − 21x
2
3. 6 x − 22 x + 12
3
2
7. 3x − 5 x − 6 x + 8
11.
6 x 2 − 11x − 10
x 2 + 3x
2
2. − 6 x + 10 x
2
6. 3x + 11x − 20
2
4. 24 x + 10 x − 25
2
5. 3x − x − 10
8.
3
2
9. 5 x + 11x + x − 6 10.
6 x 2 + 19 xy + 10 y 2
12.
2x2 + 4x
x2 −1
3x 2 + 11xy − 20 y 2
Multiplying Polynomials: Algebraic Fluency
Name
Formative Assessment
Table of Specifications
Date
Period
Circle the number of each question where you missed something.
In the Percent Correct column, record the percent of questions worked correctly for each category.
Simple
More study
Percent (%)
Content
Question Number
Mistake
needed
Correct
EL: I can demonstrate computational fluency.
I can expand a polynomial
expression using the
1, 2
distributive property.
I can expand a polynomial
expression by multiplying
3, 4, 5, 6
binomials.
I can expand a polynomial
expression involving
7, 8, 9, 10
multiplication.
I can expand rational
expressions involving
11, 12
multiplication.
Identify the level where your work is most consistently correct.
I am here
Level I can demonstrate computational fluency by expanding expressions involving
multiplication.
4
I can expand rational expressions involving multiplication.
3
I can expand a polynomial expression involving multiplication.
2
I can expand a polynomial expression by multiplying binomials.
1
I can expand a polynomial expression using the distributive property.
Differentiated Homework:
Level 1: p. 433 EA 2, 3, 4, 5, 11, 12, 19, 21, 23, 25
Level 2: p. 433 EA 2, 3, 4, 5, 11, 12, 19, 21, 23, 25
Level 3: p. 433 EA 5, 6, 9, 11, 19, 21, 23, 25, 27, 29
Level 4: p. 433 EA 5, 6, 9, 11, 19, 21, 23, 25, 27, 29
Multiplying Polynomials: Algebraic Fluency
Name
Algebra I
Level 1 – I can expand a polynomial expression using the distributive property.
1.
3x(4 x − 7) = __________________
2.
− 2 x(4 x − 5) = __________________
Level 2 – I can expand a polynomial expression by multiplying binomials.
3.
(3x − 2)(2 x − 6) = __________________
4.
(4 x + 5)(6 x − 5) = __________________
5.
( x − 2)(3 x + 5) = __________________
6.
(3 x − 4)( x + 5) = __________________
Level 3 – I can expand a polynomial expression involving multiplication .
(3 x + 2 y)(2 x + 5 y) = __________________
7.
( x − 2)(3x 2 + x − 4) = __________________
8.
9.
(5 x + 6)( x 2 + x − 1) = __________________
10. (3 x − 4 y )( x + 5 y ) = __________________
Level 4– I can expand rational expressions involving multiplication.
 2 x − 5  3x + 2 

 = __________________
 x + 3  x 
11. 
 2 x  x + 2 

 = __________________
 x − 1  x + 1 
12. 
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