GCSEMath

GCSE Algebra WorkSheets

gcse-exam-revision-algebra-helovesmath

COLLECTING LIKE TERMS (SIMPLIFYING EXPRESSIONS)

Using rules for like terms for addition, subtraction, multiplication and divsion.

 

 

THE RULES OF INDICES

Multiplying, dividing, raising to a power, the zero power, fractional and negative powers! Solving equations with powers
 

 

EXPANDING BRACKETS (MULTIPLYING OUT BRACKETS)

Single brackets. Double brackets are in the quadratic setcion!
 

 

FACTORING (FACTORISING ALGEBRAIC EXPRESSIONS)

 

 

ALGEBRAIC FRACTIONS

Simplifying, multiplying,dividing, adding, subtracting and solving equations
 

 

FORMING ALGEBRAIC EXPRESSIONS

Using letters for word based problems!
 

 

FORMULAE (SUBSTITUTION)

Swapping numbers for letters! Substituting values into expressions and formulae.
 

 

IDENTITIES

Equating coefficients to find missing values in identities!
 

 

REARRANGING EQUATIONS (CHANGING THE SUBJECT OF A FORMULA)

Making a letter the subject of an equation
 

 

SOLVING EQUATIONS (SOLVING LINEAR EQUATIONS WITH ONE UNKOWN)

Solving for x! Unknowns on one side and both sides. Fractions and negatives.
 

 

SETTING UP AND SOLVING LINEAR EQUATIONS

Forming and solving equations from word based problems
 

 

QUADRATIC EQUATIONS AND EXPRESSIONS 

Factiorising, square rooting, using the formula, completing the square!
 

 

QUADRATIC EXPRESSIONS (COMPLETING THE SQUARE)

Completing the Square
 

 

SIMULTANEOUS EQUATIONS (LINEAR)

2 unknowns, 2 equations
 

 

SIMULTANEOUS EQUATIONS (LINEAR AND NON-LINEAR)

One linear equation and one non-linear. This could be a quadratic function, a circle or different non-linear function
 

 

SOLVING EQUATIONS GRAPHICALLY

Equations and simultaneous equations solved with graphs rather than using algebra
 

 

LINEAR INEQUALITIES

Reading, writing, number lines and solving inequations.
 

 

QUADRATIC INEQUALITIES

Solving, drawing!
 

 

SHADING INEQUALITIES (TWO VARIABLES)

Solving for a number of variables using graphs and shading.
 

 
 

 

FUNCTIONS

Evaluating, composite and inverse functions.
 

 

NUMBER PATTERNS

 

 

NTH TERM OF A LINEAR (ARITHMETIC) SEQUENCE

Finding the nth term, finding terms and problems in context.
 

 

QUADRATIC, GEOMETRIC, FIBONACCI AND GENERAL SEQUENCES

Finding the nth term of a quadratic sequence, spotting special number patterns and problem solving.
 

 

PLOTTING QUADRATIC (AND OTHER NON-LINEAR) GRAPHS

Drawing graphs from a table of values. See completing the square for sketching quadratic graphs
 

 

POLYNOMIAL AND EXPONENTIAL GRAPHS AND FUNCTIONS

 

 

GRAPHS OF TRIGONOMETRIC FUNCTIONS

 

 

GRADIENT OF A LINE

Change in y over change in x!
 

 

LINE SEGMENTS (LENGTH AND MIDPOINT)

Finding the midpoint of two points and the length of a line segment using Pythagoras Theorem
 

 

STRAIGHT LINE GRAPHS (LINEAR FUNCTIONS) Y= MX + C

Plotting from a table of values
 

 

PARALLEL AND PERPENDICULAR LINES (ALGEBRAICALLY)

Parallel and Perpendicular Lines. Includes perpendicular bisector and different forms of the equation of a line.
 

 

GRAPH TRANSFOMATIONS

Translations and reflections. Stretches may well not appear on your exam spec!

 

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