Substituting a values of $x$ and $z$ into $a(x+z)$

Solving equations of the form a(ex+b)=c(fx+d)

Solving equations of the form a(x+b)=c(x+d)

Covering 1-3 step linear equations but not introducing brackets or an unknown on both sides.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Questions testing understanding of the precedence of operators using BIDMAS, applied to integers. These questions only test DMAS. That is, only Division/Multiplcation and Addition/Subtraction.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

Solve linear equations with unknowns on one. Including brackets and fractions. Solutions may require rounding.

Solve linear equations with one unknown. Including brackets and fractions.

Solve linear equations with unkowns on both sides. Including brackets and fractions.

Solve linear equations with one unknown. Including brackets and fractions.

Solve linear equations with unkowns on both sides. Including brackets and fractions.

Solve linear equations with unkowns on both sides. Including brackets and fractions.

Solve linear equations with unkowns on both sides. Including brackets and fractions.

This question is made up of 10 exercises to practice the multiplication of brackets by a single term.

Expand two brackets involving powers of $x$.

Expanding two linear brackets multiplied together.

Simple substitution into an algebraic expression. Includes powers, division, mulitplication, brackets.  Includes subscripts.

Things like "expand 4(5a-3)"

Basically expand an expression like "5y(-2z+3)" where the student types answer into a single gap.

Things like "expand -(2x+3y+4)"

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Solve linear equations with unkowns on both sides. Including brackets and fractions.

Expand $(az^2+bz+c)(pz+q)$.

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This shows one way of laying out matrix cells in a table, so that some cells can be filled in by the student.

At the time this was written, there's an open issue for allowing some entries in the matrix entry part to be filled-in, which would make this technique redundant.

Some CSS in the preamble adds the brackets around the table - it has to have the attribute class="matrix-gaps"

Expand (a+b)(c+d). a,b,c,d are random terms that can be +ve or -ve, and can consist of a number and/or a letter.

The answer must contain no brackets but will be accepted if it is not simplified from there.

Part of HELM Book 1.3

Expand something like a(b+c) or (b+c)a or a(bc), where a, b and c can be +ve or -ve expressions. Part of HELM Book 1.3

Removing brackets from expressions of the form (a+b)(c+d). Part of HELM Book 1.3