Numbers
Order these numbers from lowest to higher:
2.5 2.55... 2.355... 2.505005....
2.35...< 2.5 < 2.5055005... < 2.55....
To get €3.60, how many twenty cent coins (€0.20) do we need?
We need 18 twenty cent coins.
Translate into algebraic language:
"The double of the result of adding three units to a number."
2·(x+3)
-4x=-20
x=5
Complete the sentence:
"The equation of a linear function is _______ , and its graph is _________ ."
"The equation of a linear function is y=mx+n , and its graph is a line."
Calculte
15-3·[(2-8)-(-14)]
9
A cyclist has completed 5/9 of today's 216 km stage. How many kilometres has he gone?
The cyclist has gone 120 km.
Expand this square:
(x+4)2
x2+8x+16
11x-3+x=10x-13
x=-5
Mark the slope and the ordinate at the origin of the line which equation is y=3x-2
The slope is 3, and its ordinate at the origin is -2.
What are the prime numbers between 50 and 70?
53, 59, 61, 67
John has spent 3/8 of his money on buying a present. If you know that he has €30 left, how much money did he have at the start?
He had €48 at the start.
Expand this square:
(1-6x)2
1-12x+36x2
6=8x-(x-5)-10x
x=-1/3
What is the equation for the line that passes through the point P(0,2) with slope m=-1/2?
It is y=-x/2+2
If two numbers do not have any prime factors in common, the LCM is ...
their product.
Rachel buys 6 kg of oranges for €5.10. How much will Luis pay for 8 kg of the same oranges?
€6.80 is the cost of 8 kg.
Expand (4x-3)·(4x+3)
16x2-9
5x2-5=0
x=1 and x=-1
What is the equation for the line that passes through the points P(3,2) and Q(-1,4)?
It is y=-x/2+7/2
Calculate and simplify:
[2/3-(1/4+2):3/4]:(3/2+1)
-14/15
A farmer packs his eggs into 150 boxes that hold 10 eggs. How many boxes would he need if they held 12 eggs?
He would need 125 boxes.
Simplify: (3x+2)2-(3x-2)2
24x
3x2-3x-6=0
x=-1 and x=2
Get the coordinates of the vertex of the parabola which equation is y=x2-2x-3
The vertex is the point V(1,-4)