Equivalent expressions II

Equivalent expressions II

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This task is about what happens to indices when simplifying algebraic expressions.
Choose the expression that is equal to the one that is given.

Question

a)  w5 × w3 is equal to

    • 2w8

    • 2w15

    • w8

    • w15

Question

b)  y12 ÷ y3 is equal to

    • y4

    • y9

    • y15

    • y36

Question

c)  5m4 × 4m5 is equal to

    • 9m20

    • 20m20

    • 9m9

    • 20m9

Question

d)  24p8 ÷ 8p2 is equal to

    • 3p6

    • 16p6

    • 3p4

    • 16p4

Question

e)  (2s3)4 is equal to

    • 8s7

    • 16s7

    • 8s12

    • 16s12

Task administration: 
This task is completed with pencil and paper and online with auto-marking.
Level:
5
Curriculum info: 
Maths, Number and Algebra, Equations and expressions
Keywords: 
algebraic expressions, multiplication, indices, exponents, 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 (w8)

moderate

b)

B (y9)

moderate

c)

D (20m9)

easy

d)

A (3p6)

moderate

e)

D (16s12)

difficult