PART - 2 CH : 7 Finding the Unknown MATHS - PART - 2 CH : 7 Finding the Unknown

Solve these equation:
10 – 5x = 3(x – 4) – 2(x – 7)

Solve these equation:
2x + 1 = 6 – (2x – 3)

Solve these equation:
3 – 7s = 7 – 3s

Solve these equation:
6(x – 1) = 2(x – 1) – 4

Solve these equation:
2(x – 4) = -16

Two separate figures are given below. Each figure shows the first few positions in a sequence of arrangements made with sticks. Identify the pattern and answer the following questions for each figure:
(a) How many squares are in position number 11 of the sequence?
(b) How many sticks are needed to arrange position number 11 of the sequence?
(c) Can an arrangement in this sequence be made using exactly 85 sticks? If yes, which position number will it correspond to?
(d) Can an arrangement in this sequence be made using exactly 150 sticks? If yes, which position number will it correspond to?

Write 4 equations whose solution is u = 6.

Here are machines that take an input, perform an operation on it, and send out the result as an output.

Find the inputs in the following cases:

Given 4k + 1 = 13, find the values of:
(a) 8k+ 2
(b) 4k
(c) k
(d) 4k – 1
(e) -k – 2

Write 5 equations whose solution is x = -2.

There are some children and donkeys on a beach. Together they have 28 heads and 80 feet. How many donkeys are there? How many children are there?

The height of a giraffe is two and a half metres more than half its height. How tall is the giraffe?

The Bakhshali Manuscript (300 CE) mentions the following problem. The amount given to the first person is not known. The second person is given twice as much as the first. The third person is given thrice as much as the second, and the fourth person four times as much as the third. The total amount distributed is 132. What is the amount given to the first person?

Find the measure of the angle of these triangle:

Find the measure of the angle of these triangle: