Harder Algebraic Manipulation
8x = 12y + 10
Make y the subject of the formula in it's simplest form.
y = (4x - 5) / 6
Solve 4(x - 3) = 2x + 10
x = 11
Convert 3.5 hours into minutes
210 minutes
A square has a side length of 4m (1sf). What is the maximum possible area of the square?
20.25m2
Expand and simplify: (x + 4)2 - (x - 2)(x + 2)
8x + 20
Solve (x + 5) / 3 = 7
x = 16
Convert 250 cm into metres
2.5 m
A rectangle has length 12 cm (nearest cm) and width 7 cm (nearest cm). Find the maximum possible area.
12.5 × 7.5 = 93.75cm²
Factorise completely: 2x2 - 18
2(x - 3)(x + 3)
Solve 3(2x - 1) - 4 = 2(x + 7)
x = 5
Convert 72 km/h into m/s
20 m/s
(Because 72 ÷ 1000 x 3600 = 20)
A triangle has base 9 cm (nearest cm) and height 6 cm (nearest cm). Find the least possible area.
23.375 cm2
Simplify 6x2y3 / 3xy
2xy2
Solve the simultaneous equations:
2x + y = 11
3x - y = 4
x = 3 and y = 5
A cyclist travels 12 km. What is this in cm?
1,200,000 cm
A rectangle has length 13 cm (nearest cm) and width 40 mm (nearest cm). Find the minimum possible area in cm2.
49.375 cm²
Factorise fully 4x3 - 9x
x(2x - 3)(2x + 3)
Solve (5x - 3)/2 - (x + 1)/3 = 4
x = 33/7
Convert 0.8 kg/m3 into g/cm3
0.0008 g/cm3
A cube has a side length of 5 cm (nearest cm). Find the error interval for the volume of the cube to 3sf.
91.1 ≤ V < 166