Algebra Test Paper
1. Solve
by graphical method : 4x = y -5; y = 2x
+ 1. (3)
2. Solve
by Cramer’s rule. 3x + y = 1; 2x = 11y + 3. (3)
3. Find
value of k for which the given equations have infinitely many solutions. Kx – y
+ 3-k =0; 4x – ky + k = 0. (3)
4. The
perimeter of an isosceles triangle is 24cm. The length of its congruent sides
is 13cm less than twice the length of
its base. Find the lengths of all sides of the
triangle. (3)
5. A boat takes 6 hours to travel 8 km upstream
and 32 km downstream, and it takes 7
hours to travel 20 km upstream and 16 km downstream. Find the speed of the boat in still water and the speed of the
stream. (4)
6. Solve 1 + 1 = 1, 1 + 1 = 1 (4)
3x 5y 15 2x 3y 12