Checking and securing understanding of solving and interpreting linear equations | Maths

Starter quiz

Fully factorise the expression $7y^2 - 14y$

$7y(y - 2)$ ✓

$7(y^2 - 2y)$

$y(7y - 14y)$
Fully factorise the expression $2x^2 +7x + 3$

$(x + 3)(2x - 1)$

$(x + 3)(x + 1)$

$(x + 3)(2x + 1)$ ✓
A rectangle has side lengths of $3x + 5$ and $2x - 3$ . Write an expression for the perimeter of the shape.

'10x + 4' ✓
A regular hexagon has side length $3n - 4$ . Write an expression for the perimeter of the shape.

'6(3n-4)' ✓
A rectangle has side lengths of $9x - y$ and $2y$ . Write an expression for the perimeter of the shape.

'18x+2y' ✓
A square has side length $15x - y$ . Write an expression for the perimeter of the shape.

'4(15x - y)' ✓

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With linear equation involving brackets, there are two methods for addressing the brackets.
You can expand the bracket (multiply out).
You can divide each term.
If there is a common factor across all terms, then division may be best.

If a linear equation involves brackets, these always have to be expanded first.

Get pupils to use knowledge of factors and collecting like terms to simplify problems.

Additive inverse - The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.
Reciprocal - The reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1
Like terms - Like terms are terms that have the same set of variables and corresponding exponents.