Rates and Ratios
Algebra
Equations
Linear Equations
Lucky Dip
100
If a dozen donuts cost $8, how many donuts can I buy for $22?
33 donuts
100
Given that a=-2 and c=-1, evaluate
a^2+c
3
100
Solve
(3x)/4=10
x=13 1/3
100
If this triangle was placed on a Cartesian plane, what would be the gradient of the hypotenuse?
m=-4/3
100
Is 1 a prime or a composite number?
Trick question! It is neither.
200
On a map, 4 cm represents 2 km. How far apart are two villages if they are 15 cm apart on the map?
7.5 km
200
Expand
2x(1-x)
2x-2x^2
200
Solve
x/5+7=22
x=75
200
What is the equation of the line with a gradient of 3 and a y-intercept of -2?
y=3x-2
200
Train game! 2337
(3^3-7)/2
300
A cyclist completes a 15 km long track. She cycles at an average speed of 12 km/h. How long does it take her to get to the finish?
1.25 hours
300
Factorise
6xy-15y^2
3y(2x-5y)
300
A number is divided by 11 and 6 is added to it. The result is 13. What was the number?
77
300
Does the point (-1,-9) lie on the line y=4x-5 ?
Yes.
300
Express as a single fraction:
-m/3+(2m)/5
m/15
400
What is the simplest form of the ratio 51:34:68?
3:2:4
400
Expand
(x+2)(x+3)
x^2+5x+6
400
Solve 2(3z+4)+5=20
z=1 1/6
400
What are the x- and y-intercepts of the line with equation y=1/2x-3 ?
x-intercept is 6, y-intercept is -3.
400
Expand and simplify
-7(2x-4)+5(4-x)
48 - 19 x
500
What is 36 km/h in m/s?
10 m/s
500
Simplify
(56abc)/(35c^2)
(8ab)/(5c)
500
Solve
(2m)/5-m/4=21
m=140
500
Where do the lines y=2x-3 and y=1/2x meet?
At x=2.
500
Express as a single fraction:
(2xyz^2)/(3x)*(6x^2yz)/(5z^3)
(4x^2y^2)/5