Equivalent expressions II

Equivalent expressions II

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about what happens to indices when simplifying algebraic expressions.
Circle the letter next to the expression that is equal to the one that is given.
 
a)		  
w5 × w3 is equal to
   
(A)   2w8     (B)   2w15     (C)   w8     (D)   w15
 
b)		  
y12 ÷ y3 is equal to
   
(A)   y4     (B)   y9     (C)   y15     (D)   y36
 
c)		  
5m4 × 4m5 is equal to
   
(A)   9m20     (B)   20m20     (C)   9m9     (D)   20m9
 
d)		  
24p8 ÷ 8p2 is equal to
   
(A)   3p6     (B)   16p6     (C)   3p4     (D)   16p4
 
e)		  
(2s3)4 is equal to
   
(A)   8s7     (B)   16s7     (C)   8s12     (D)   16s12
Task administration: 
This task is completed with pencil and paper only.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Equations and expressions
Keywords: 
algebraic expressions, multiplication, indices, simplify
Description of task: 
Students identify what happens to indices when simplifying algebraic expressions.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Using symbols and expressions to think mathematically, sets 6-7
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y10 (11/1999)

a)

C

moderate

b)

B

moderate

c)

D

easy

d)

A

moderate

e)

D

difficult