Algebra topics for 8th grade

Add unit fractions of like terms

Add unit fraction amounts of like terms e.g. 1/5x + 1/2x

Subtract fractions of like terms

Subtract fractional amounts of like terms e.g. ¾x - ½x

Multiply like terms

Simplify expressions by multiplying like terms with exponents e.g. 2y² x 2y²

Multiply like & unlike terms

Simplify expressions by multiplying like & unlike terms with exponents and / or coefficients e.g. b x 3c² x b² x d

Expand two binomials

In each instance use FOIL or a similar technique to expand the double brackets e.g. (x + 3)² = x² + 6X + 9

Common terms

Factorise out common terms only

Common number factors

Factorise out common numbers

Both terms and numbers

Factorise out both terms and numbers in each of the given expressions

Terms on both sides

Use algebraic methods to rearrange and solve for x, terms on both sides, no fractions

Terms on one side, fractions

Use algebraic methods to rearrange and solve for x, terms on one side, with fractions

Terms on both sides, fractions

Use algebraic methods to rearrange and solve for x, terms on both sides, with fractions

Two negative integer variables

Calculate the value of K by substituting in two negative integer variables n and s

Fraction values

Calculate by substituting in 2 fraction variables s and t

Positive integers: 3 variables

Calculate the value of J by substituting in positive integer values for the 3 variables k, m and n

Negative integers: 3 variables

Calculate S by substituting in negative integer values for the 3 variables p, q and r

Basic linear formulas

Use algebraic methods to make the specified variable the subject of each of the linear formulae

Form expression: perimeter of squares

Form an expression for the perimeter of each of the given squares in terms of x

Form expression: perimeter of rectangles

Form an expression for the perimeter of each of the given rectangles in terms of x and y

Form expression: perimeter of triangles

Form an expression for the perimeter of each of the given triangles in terms of x

Express the area of squares

Express the area of each of the given squares in terms of x

Express the area of rectangles

Express the area of each of the given rectangles in terms of x

Form expression: angles in triangle

Form simplified expressions for the sum of the interior angles of each triangle in terms of x

Expressions from words

Form an expression for each of the given scenarios in terms of x and y

Calculate gradients of linear graphs

For each linear graph or pair of points on a line, find the gradient of the line

y = mx + c - gradient, y-intercept

For each equation of form y = mx + c identify the gradient or the y-intercept of the line

Parallel lines

Interpret equations of form (or reducible to) y = mx + c to identify which would produce parallel lines

Quadratic equation: value of y

For each quadratic equation, given a value for x, calculate a value for y

Identify graphs

Identify the correct equation for each of the given graphs

Term-to-term

For each arithmetic or geometric sequence, find the next term

Position to term

Find the value of term n for the given linear sequences

Find the nth term value

Given an nth term rule, find the value of the specified term in the sequence

Sequence from nth term rule

Identify the sequence that follows the given linear nth term expression

nth term rule from sequence

Choose the correct nth term expression for each of the linear sequences