Algebra

New Zealand

Level 5

The area of a rectangle, $A$`A`, is given by the formula $A=L\times W$`A`=`L`×`W`, where $L$`L` is the length and $W$`W` is the width.

If the length of a rectangle is $15$15 cm, select the expression that gives the area of the rectangle in terms of the width.

$A=\frac{15}{W}$`A`=15`W`

A

$A=\frac{15}{L}$`A`=15`L`

B

$A=15L$`A`=15`L`

C

$A=15W$`A`=15`W`

D

$W=15A$`W`=15`A`

E

$A=15+W$`A`=15+`W`

F

Easy

Less than a minute

In physics, Newton's second law states that $F=ma$`F`=`m``a`, where $F$`F` is the force of an object (measured in Newtons, N), $m$`m` is the mass of the object (in kilograms, kg) and $a$`a` is the acceleration of that object (measured in m/s^{2}).

An object experiences an acceleration of $10$10 m/s^{2}. Express the force on the object in terms of its mass.

The perimeter, $P$`P`, of a triangle with sides of lengths $x$`x`, $y$`y` and $z$`z` is given by the formula $P=x+y+z$`P`=`x`+`y`+`z`.

A triangle has two known side lengths, $x=5$`x`=5 cm and $y=8$`y`=8 cm. Express the perimeter of the triangle in terms of the unknown side length $z$`z`.

The perimeter, $P$`P`, of a rectangle is given by the formula $P=2\left(L+W\right)$`P`=2(`L`+`W`), where $L$`L` is the length and $W$`W` is the width.

If the length of a rectangle is $25$25 cm, select *all* expressions that give the perimeter of the rectangle in terms of the width.

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Generalise the properties of operations with fractional numbers and integers.