MATHS
1º DE E.S.O
IES FERNANDO III
CENTRO BILINGÜE
MATHS
UNIT 7: ALGEBRA
UNIT 7: ALGEBRA
OUTLINE
1 – ALGEBRAIC EXPRESSION.
2 – RE-ARRANGING SYMBOLS
 COLLECTING LIKE TERMS.
 DIFFERENT TERM.
 MULTIPLYING OUT
BRACKETS.
 EXPRESSION WITH NEGATIVE
NUMBERS.
 MULTIPLYING OUT TWO
BRACKETS
3 –SOLVING EQUATIONS
 SOLVING SIMPLE EQUATIONS
 UNKNOWN ON BOTH SIDES
OF THE EQUATION
 EQUATIONS WITH BRACKETS.
4 - VOCABULARY
ASPECTOS LINGÜÍSTICOS








PRESENT SIMPLE
IMPERATIVE
LOS PASADOS
TO BE
THERE WAS
THERE WERE.







VERBOS REGULARES/

IRREGULARES EN PASADO 
AFIRMATIVA.

CONTABLES/INCONTABLES 
SOME/ ANY


PHONETICS
VOCABULARY
FRACTION
ADDING
SUBTRACTING
MULTIPLYING
DIVIDING
ALGEBRA
RE-ARRANGE
SYMBOL
LIKE TERMS
UNLIKE TERMS
BRACKETS
SOLVE
EQUATIONS
SENTENCE STRESS
LAS CONSONANTES
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MATHS
UNIT 7: ALGEBRA
1 – ALGEBRAIC EXPRESSIONS.
We often use formulas without even noticing. For example, to convert Kilometers to meters, or to
find the circumference of a circle by multiplying π by the diameter. Sometimes we have to construct our own
formula.
Example: create a formula :
- perimeter of the square: P=4·l
- The double of a number: 2·a
2 –RE-ARRANGING SYMBOLS.
In Algebra, we often get very long expressions that we need to make simpler. Simpler expressions are
easier to solve.
 COLLECTING LIKE TERMS:
To simplify an expression, we collect like terms. Like terms include letters and numbers that are the
same.
Example:
We collect together x terms to give
We collect together the numbers to give 5
Remember that we separate by + and - signs, to answer
Example: Simplify this expression.
Collect all the terms together which are alike. Remember that each term comes with an operation (+,-)
which goes before it.
Simplify the x terms
Simplify the numbers separately
Answer:
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MATHS
UNIT 7: ALGEBRA

DIFFERENT TERMS:
Sometimes you have to simplify an expression that has many different terms or letters. In the next
question, there are different terms
Example:
Collect the like terms together, re-order them
Simplify your expression, x first,
Then simplify y:
Then simplify z:
Answer:

MULTIPLYING OUT BRACKETS.
Sometimes there are questions that require you to multiply out brackets. Remember that a term outside the
bracket (or sometimes in another bracket) multiplies everything inside the bracket. You also need to
remember some basic algebra. Example:
 EXPRESSION WITH NEGATIVE NUMBERS.
Example:
Remember to multiply the signs.
 MULTIPLYING OUT TWO BRACKETS
When we multiply out a pair of brackets, we multiply everything in the second bracket by everything in
the first bracket.
One way to multiply out a pair of brackets is by taking each term in the first bracket and multiplying it by
the second bracket.
Example:
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MATHS
UNIT 7: ALGEBRA
3 – SOLVING EQUATIONS.
An equation is an algebraic expression with an equality where we must find out the value of “x” (unknown
quantity) which satisfies the equation.
Example:
 SOLVING SIMPLE EQUATONS.
In an equation, letters represent some missing numbers. To solve an equation, find the values of the missing
numbers. Example:
This means we need to find the value of “a”. The answer is
.
There are two methods you can use when solving this type of problem:
o Trial and error until an answer is reached.
o Or, to solve it.
We are going to use the second method. The best way to solve an equation is by using “ the inverse
method”. Remember that:
o Adding and subtracting are the opposite of each other.
o Multiplying and dividing are the inverse of each other.
Example: Solve
Then undo the
.
by subtracting 3. You need to do it to both sides.
Undo the multiply by 2 dividing by 2 (again on both sides)

UNKNOWNS ON BOTH SIDES OF THE EQUATION
With unknowns on both sides of the equation, remember that whatever you do to one side you must also
do to the other.
Example: Solve the equation
1.- You need to get all the bs on the same side of the equation.
 Subtract b from both sides:
 Subtract 4 from both sides:
 To find the value of b you must divide both sides by 2:
 EQUATIONS WITH BRACKETS
When the equation has a bracket, we multiply out the brackets first. For example:
 Everything inside the brackets is multiplied by 3:

Subtract 6 from both sides:

Divide both sides by 3:
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MATHS
UNIT 7: ALGEBRA
4.- VOCABULARY
English
Pronunciation
Spanish
Alike adj.
/ə'laɪk/
Igual
Both deter.
/bəʊθ
Ambos, los dos / las dos
Brackets sust.
/'brækɪt/
Corchete / paréntesis
Collect verb.
/kə'lekt/
Reunir, juntar
Everything pron.
/'evriθɪŋ/
Todo
Find out verb. and prep.
Find /faɪnd/
Averiguar
out /aʊt/
Improvement sust.
/ɪm'pru:vmənt/
Mejora
Inside prep.
/'ɪn'saɪd/
Dentro de
Inverse adj.
Inverso
/'ɪnvɜ:rs /
Like terms sust.
/tɜ:rm /
Like-igual
Term-términos
Términos iguales (incógnitas iguales)
Opposite prop.
/'ɒpəzɪt/
Enfrente
Re-arrange verb.
/'ri:ə'reɪndʒ/
Reagrupar
Remember verb.
/rɪ'membə(r)/
Recorder
Separately adv.
/'sepərətli/
Por separado
Side sust.
/saɪd/
Lado
Simplify verb.
/'sɪmpləfaɪ /
Simplificar
Solve verb.
/sɒlv/
Resolver , solucionar
Stand for verb. and prep.
/stænd/
Significar / representar
Term sust.
/tɜ:rm /
Término
Together adv.
/tə'geðə(r)/
Juntos
Trial sust.
/'traɪəl/
Prueba
Undo verb.
/'ʌn'du:/
Deshacer
Unknown adj.
/'ʌn'nəʊn/
Desconocido
Unlike terms adj. and sust.
/'ʌn'laɪk/
Whatever pron.
/hwɑ:t'evər/
/tɜ:rm /
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Términos
diferentes
diferentes)
Calquier cosa que
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