Algebra 1 Selected Response
A-SSE-2b
Choose all that represent the product: ( 3x + 4 )( x − 2 )
A)
3x 2 −8
3x
4
3x 2
4x
− 2 − 6x
−8
B)
x
C)
E)
3x + 4
x−2
−6x−8
3x+ 4
−3x−4
D)
x ( 3x + 4 ) − 2 ( 3x + 4 )
3x ( x−2) + 4( x−2)
Scoring:
2 points if: B, D, and E
1 point if: Selected two of the three correct responses (B,D,E)
0 points if: Selected A or C
Key and Distractor Analysis:
A) Student is incorrectly multiplying half the terms.
B) Key. Student uses the properties of operations to express a product of a sum of terms as a sum of products using a
generic rectangle.
C) Student did not multiple x by 4 and x by 3x.
D) Key. Student uses the properties of operations to express a product of a sum of terms as a sum of products.
E) Key. The student understands a possible first step to solving the multiplication of binomials by using the distributive
property.
Seeing Structure in Expressions
A-SSE
Interpret the structure of expressions
2b. Use the properties of operations to express a product of a sum of terms as a sum of products.
For example, use the properties of operations to express ( x + 5 ) ( 3 − x + c ) as
−x 2 + cx − 2x + 5c + 15 . (Common Core Standard A-SSE-2b)
MCC@WCCUSD 09/07/12