Algebra usually involves replacing numbers with letters and learning ways to solve equations and formulae.

Tricky stuff. 

 

First, we must find x.

 

3y + 67 = x  <-----------There it is!

 

These topics are for GCSE Maths Level. 

This theme covers; Expressions, Sequences, nth Term, Index Laws, Equations, Linears, Gradients, Quadratics, Rearranging and Simultaneous Equations.  

Top Questions

Topics

Recognise the words: equation, formula, identity and expression
D
Write the terms of a sequence or a series of diagrams when given the nth term
D
Draw lines such as y = 2x + 3 using a table of values
D
Solve equations with unknowns on each side and with brackets
D
Substitute numbers into formulas
D
Factorise expressions with one pair of brackets
C
Multiply out expressions with brackets
C
Use index notation and index laws for positive and negative powers
C
Write the nth term of a sequence or a series of diagrams
C
Find a solution to a problem by forming an equation and solving it
C
Solve linear equations
C
Form and solve equations such as x<sup>3</sup> + x = 12 using trial and improvement methods
C
Recognise the equations of straight-line graphs
C
Find the gradients of straight-line graphs
C
Draw graphs of quadratic functions by plotting points
C
Represent solutions to inequalities on a number line
C
Solve linear inequalities
C
Understand the difference between a demonstration and a proof
C
Expand and simplify quadratics
B
Factorise quadratic expressions
B
Solve quadratic equations by factorising
B
Rearrange formulae that include brackets, fractions and square roots
B
Use and understand y=mx+c
B
Solve a set of linear inequalities in 2 variables by shading a region of a graph
B
Solve a pair of simultaneous equations algebraically
B
Solve simultaneous equations graphically
B
Complete tables for, and draw graphs of cubic functions and quadratics
B
Solve proportion problems (direct, inverse, proportional to the square, inversely proportional to the square)
A
Interpret the graphs of direct and inverse proportion relationships
A
Rearrange formulae where the new subject appears twice
A
Understand the gradients of perpendicular straight-line graphs
A
When given a graph, draw another line to solve an equation
A
Solve a pair of simultaneous equations where one is linear and the other involves x<sup>2</sup>
A
Solve fractional equations with the unknown in the denominator
A*
Simplify algebraic fractions
A*
Solve quadratic equations by using the quadratic formula
A*
Use the technique of completing the square
A*
Solve a pair of simultaneous equations where one is linear and the other is a circle
A*
Solve cubic equations by drawing appropriate lines on graphs
A*
Transform the graphs of y = f(x), such as linear, quadratic, cubic, sine and cosine functions, using the transformations y = f(x) + a, y = f(x + a), y = f (ax) and y = af(x)
A*
Recognise and sketch the shapes of graphs of functions
A*
Derive algebraic proofs using reasoning and logic
A*
Construct the graphs of loci, including the circle x<sup>2</sup> + y<sup>2</sup> = r<sup>2</sup>
A*
2Simple software

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