Algebra
What are the like terms?
16x, 19xy, 16yx, 19y
19xy and 16yx
Solve 9m=18
m=2
What is the area of a parallelogram with a base of 12cm, height of 9cm, and diagonals of 16cm and 24cm?
A=108cm2
P(H) = 7/20
Joe travels at 15km/h for 3 hours. How far does he travel?
45km
Simplify:
5x-2y+13y-3x
2x+11y
Solve (x-7)/3 = 4
x=19
Convert 8.65m2 to cm2.
86500cm2
A die is rolled. What is P(not 2)?
P(not 2) = 5/6
A drawing has a scale of 3:100. If a tree has a scaled height of 18cm, how tall is the tree?
600cm or 6m
Expand and simplify:
7(9x+5)-4x
59x+35
Solve 9x+6=5x-12
x=-4.5
What is the volume of a triangular prism with a base of 6cm, perpendicular height of 5cm and depth of 13cm?
V = 195cm2
10 cards are numbered 1-10. Two are drawn without replacement. What is the probability neither are even?
P(neither even) = 2/9
simplify the ratio 2.4:4
3:5
Factorise fully:
15x2+18x-12xy
3x(5x+6-4y)
Solve 4x2=36
x=+/- 3
A sector has a radius of 10cm and angle of 36o at its point. What is the perimeter of the sector to 1dp?
P = 26.3cm
A box contains 16 blue and 8 red marbles. What is the probability of drawing one of each without replacement?
P(one of each) = 32/69
Gary and Larry were paid in the ratio 2:7. If Larry was paid $600 more than Gary, how much was Larry paid?
$840
Expand, simplify, then factorise:
8(x+6)-2(3x+4)
2(x+20)
Solve 16-2x>9
x<3.5
What is the surface area of a cube with side length of 15m?
SA = 1350m2
People were surveyed. 16 liked holidays or ice cream. 10 liked holidays, 8 liked ice cream and 18 didn't like both. How many were surveyed?
20
One hose fills a pool in 15 min. Another hose fills a pool in 10 min. How long would it take both hoses to fill a pool?
6 min