Test: Algebraic Expression and Identities - Class 8 MCQ

If 2x + 3y = 8 and xy = 2. Find 4x² + 9y².

Stephen's mathematics test had 85 problems, which contains 20 algebra, 30 statistics and 35 geometry problems. He answered 70% of algebra, 40% of the statistics and 60% of geometry problems correctly. He did not pass the test because he got less than 60% of the problem correct. How many more questions he would have needed to answer correctly to earn 60% passing grade?

A monkey climbing up a pole ascends 10 metres and slips down 2 metres in alternative minutes. If the pole is 57 metres high, how long will take him to reach the top of pole?

If 2x – 3y = 5 and xy = 4. Find 4x² + 9y².

If x = 3 and y = 5 find x² + y².

Find the dimension of rectangle when its length is 20 m more than its width. If its width is reduced by 20 m and length is increased by 100 m then the perimetre will be twice the perimetre of original one.

The ratio of two smaller sides of a right-angled triangle is 4 : 3, A rectangle is on the largest side of the triangle in such a way that largest side will be the length of the rectangle. The breadth of rectangle is four fifth of its length. Find the length of shortest side of triangle if the perimetre of rectangle is 1.8 m.