Name
Date
Fetac L4 mathematics: Algebra code 4N1987
Fetac L4 Mathematics Code 4N1987
Algebra Brief.
Note this brief is transitional, some sections may be omitted if these skills have already been
demonstrated in a brief completed for the “old Level 4 C10139”
This brief is based on the Cluster Level 4 mathematics programme, version May-June 2012.
Name
PPSN
Date of Brief commencement.
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Name
Date
Fetac L4 mathematics: Algebra code 4N1987
Broad description of what this brief contains:
Facilitate the learner to understand and apply algebraic concepts and realise the relationship
between algebra and the world around them, including:


Enable the learner to discuss the presence of variables in a range of real life situations
For Example:
o Familiarise the learner with the concept of variables in maths and enable them
to identify where they encounter variables e.g. how many of a certain item can
you afford to buy
Solve algebraic equations including linear equations of one variable, simultaneous linear
equations of two unknowns, and linear inequalities of one variable
For Example:
o Familiarise the learner with the concept of one variable linear equations and
the steps necessary to solve them.
o Enable the learner to solve various one variable linear equations to include
functions of addition, subtraction, multiplication, and division.
o Familiarise the learner with the concept of simultaneous equations of two
unknowns and the steps necessary to solve them (by elimination, by
substitution).
o Facilitate the learner to solve various simultaneous linear equations of two
unknowns using both methods.
o Familiarise the learner with the concept of linear inequalities of one variable
and the steps necessary to solve them.
o Enable the learner to solve various linear inequalities of one variable.

Facilitate the learner to solve quadratic equations using factors and the quadratic formula
For Example:
o Familiarise the learner with the concept of quadratic equations.
o Facilitate the student to understand that x2 in the quadratic equation indicates
that a graph cuts the x axis in two places
o Enable the learner to solve quadratic equations using factorisation and the
quadratic formula

Enable the learner to construct algebraic expressions and formulae for real life situations
using the correct terminology and including rearrangement of formulae.
For Example:
o Enable the learner to see how real life situations can be expressed as algebraic
expressions.
o Facilitate the learner to translate real life situations into word problems and
then translate those word problems into algebraic expressions and equations
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Name
Date
Fetac L4 mathematics: Algebra code 4N1987
Specific assessment Goals for this brief:
3 ALGEBRA
3.1 Discuss the presence of variables in a range of real life situations
3.2 Solve algebraic equations including linear equations of one variable,
simultaneous linear equations of two unknowns, and linear inequalities of one
variable
3.3 Solve quadratic equations using factors and the quadratic formula
3.4 Construct algebraic expressions and formulae for real life situations using the
correct terminology and including rearrangement of formulae.
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Name
Date
Fetac L4 mathematics: Algebra code 4N1987
3.1 Discuss the presence of variables in a range of real life situations
These questions relate to class discussions, and students are expected to read and answer them within that
context.
3.1a Consider the following situation.
My brother is three years younger than me.
If you wished to represent this as an equation what would the variables be?
3.1b I am saving money for Christmas and I wish to represent this mathematically. In this situation, what
might be considered as algebraic variables.
3.1c I drop something from a great height, and I wish to analyse this situation using algebra. What might be
variables here.
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Name
Date
Fetac L4 mathematics: Algebra code 4N1987
3.2 Solve algebraic equations including:
3.2.1 linear equations of one variable,
Section 3.2.1 Linear equations of one variable.
Please solve the following
1) «R1»= x+«R2»
2) «R3»= x-«R4»
3) «A4» = «R6»x
4) «A1» = x/«R7»
5) «A2» = x/«R8» + «R10»
6) «A3» = «R11»x+«R13»
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Name
Date
Fetac L4 mathematics: Algebra code 4N1987
3,2,2 simultaneous linear equations of two unknowns,
solve the following
3x  y  10
xy 2

Solve the following
x  y  10
x  y  10

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Name
3.2.3
Date
Fetac L4 mathematics: Algebra code 4N1987
and linear inequalities of one variable
Find all values of x for which the following is true
x 10  23

The centre rent a 14 sealer minibus to go on a trip. Three teachers must accompany the students.
Let x = the number of students who can go and express this as an inequality in x.
Solve this for the maximum number of students who can go on the trip.
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Name
Date
Fetac L4 mathematics: Algebra code 4N1987
3.3 Solve quadratic equations using factors and the quadratic formula
Find the roots of the following equations by factoring
x 2  2x  0

x2  x  6  0

Use the quadratic formula to solve the following equations
x 2  8x 1  0
x 2  3x  5  0

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Name
3.4
Date
Fetac L4 mathematics: Algebra code 4N1987
Construct algebraic expressions and formulae for real life situations using the correct terminology and
including rearrangement of formulae.
If braking distance in meters is give by the following formula
Dbraking  0.0114V 2
Where the distance is given in meters, and the Velocity is given in Km/hour

Find a formula which gives the initial speed, in terms of the observed braking distance.
If I save 12 euro per week write a formula showing the amount of money saved as a function of the total
number of weeks I have been saving for.
Re-arange this formula to give the number of weeks required to save for a given amount of money.
If the temperature in Fahrenheit is related to the temperature in Celsius bu the folowing formula
F  1.8C  32
Find a formula which will convert Fahrenheit temperatures to Celsius.

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