Translating into algebraic expressions
20 seconds
A number increased by two
x+2
1 minute
5x + 3x = 50 – 2x
x=5
30 seconds
x^2=16
x= +- 4
1 minute.
A number minus its third part is 40
x - x/3 = 40
X=60
30 seconds
6x^2=0
x= 0
20 seconds
Eight is the same as twice a number.
8 = 2x
1 minute
3(x – 5) = 2(x – 4)
x=7
30 seconds
x^2 + 4 = 0
There is no solution to the equation.
x=sqrt{-4}
1 minute
The difference between a number and its half is 30.
x - x/2 = 30
x= 60
1 minute
x/x=1
The equation has an infinite number of solutions.
x=x
x-x=0
0=0
20 seconds
Triple a number minus two
3x - 2
2 minutes
5(x – 3) – (2x + 1) = 4(x – 1) – 1
x=-11
1 minute
5x=2x^2
x=0 and x= 5/2
2 minutes
Pedro's age is a quarter of his father's. If the sum of their ages is 50, how old is each of them?
x + x/4 = 50
Pedro is 10 years old and his father is 40.
1 minute
x·(x-1)=0
x=0 and x=1
30 seconds
Twelve times, a number increased by 6.
12 · (x+6)
1 minute
x/3={x+2}/4
x=-6
30 seconds
3x^2+12x=0
x=0 and x=-4
2 minutes.
The equal sides of an isosceles triangle are three times as long as its base. If the perimeter of the triangle is 140 cm, what is the length of its sides?
x+3x+3x=140
x=20,60 and 60 cm
1 minute
(x-3)·(x+1)=0
x=3 and x=-1
30 seconds
The quotient of fourteen and triple a number.
14/{3x} or 14:(3x)
2 minutes
x+{x+2}/6={4x}/3
x=2
1 minute
4x^2-155=245
x=+-10
2 minutes
The base of a rectangle is twice its height. If the area of the rectangle is 50 m², what are the dimensions of the rectangle?
x·2x=50
x=5. Base= 10m, height= 5m
1:30 minutes
(2x-1)·(3x+1)=0
x=1/2 and x=-1/3