Friday Algebra

Friday Algebra

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Overview
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Marking Student Responses
Further Resources
This task is about using algebra to solve algebraic maths problems.
 
On the first Friday of every month Matua Hakopa gets her class to complete an algebra test.
There are 50 questions in the test.

Question 1Change answer

On the first Friday, the top score was 4 times as much as the bottom score. 
The top score was 48. What was the bottom score?  

Question 1Change answer

On the second Friday, the top score was again 48, and the difference between the top and bottom scores was 25.
What was the bottom score on the second Friday?  

Question

Which two of these equations would help you find the bottom score? (Choose two)

    • b + 25 = 50

    • 25 + b = 48

    • 48 = b - 25

    • b - 25 = 50

    • 48 - b = 25

Show or explain how you decided on your answer.
Task administration: 
This task can be completed with pencil and paper or online (with SOME auto marking).
Level:
4
Curriculum info: 
Maths, Number and Algebra, Equations and expressions
Keywords: 
linear equations, story problems, algebraic expressions
Description of task: 
Students solve mathematical problems and identify the linear equation that represents the situation.
Curriculum Links: 
This resource can help to identify students' ability to apply inverse operations to solve simple linear relationships.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Using symbols and expressions to think mathematically, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y8 (06/1996)

Y9 (06/1996)
a)   12 very easy easy
b) i) 23 easy easy
ii)
B [25 + b = 48]
and
E [48 - b = 25]
 difficult moderate