Algebra problems (70..76)

problems 60..69

70.
A.
x,y,z are positive integers.
3x = 4y = 5z

Calculate the smallest possible value of x + y + z.

B.
x + y = y + z = x + z = xyz.
Calculate x,y,z.

C.
x + y + z = 0
x2 + y2 + z2 = 14
x3 + y3 + z3 = 18

Questions:
xyz = ?
x,y,z = ?

D.



Note: bereken = calculate.



71.
A.



x = ?

B.



x=?

C.



x=?

D.
9x + 9x = 9

31-x = ?



72.
A.
Calculate x if



B.



Calculate x.

C.

a4 + b4 = a2 - 2a2b2 + 6.
a2 + b2 = ?



Calculate x.



73.
A.


x = ?

B.



x=?

C.
a4 + b4 = a2 - 2a2b2 + 6.
a2 + b2 = ?

D.
(a2+1)(b2+1) + 25 = 10(a+b).
a3 + b3 = ?

E.



x=?

F.



x=?



74.
Given is rectangle ABCD and some areas of right angled triangles within.
Calculate area S of the shaded triangle.





75.
A.


x=?

B.


Perimeter of ABCD = ?

C.


D.


x=?

E.
x and y are positive integers.
x + xy + y = 54.

x=? , y=?



76.
A.



B.



C.
a,b,c are integers.



D.
9x-6x=4x.
x=?