English

If = 2x + 3, = 32x+7 and = x – 3 then find the value of: 12 + – 3

Advertisements
Advertisements

Question

If = 2x + 3,  = `3/2x + 7` and  = x – 3 then find the value of:

`1/2` + – 3

Sum
Advertisements

Solution

Given, = 2x + 3,  = `3/2x + 7` and  = x – 3

`1/2` + – 3 = `1/2(3/2 xx 2 + 7) + (8 - 3) - 3(2 xx 0 + 3)`

= `1/2(10) + 5 - 3(3)`

= 5 + 5 – 9

= 1

shaalaa.com
  Is there an error in this question or solution?
Chapter 10: Algebraic Expressions - Exercise [Page 327]

APPEARS IN

NCERT Exemplar Mathematics Exemplar Class 7
Chapter 10 Algebraic Expressions
Exercise | Q 89. (ii) | Page 327

RELATED QUESTIONS

Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

If the number of digits formed is taken to be n, the number of segments required to
form n digits is given by the algebraic expression appearing on the right of each pattern.

How many segments are required to form 5, 10, 100 digits of the kind −


Write down the following in the product form: x2y4


If 9 is added to a certain number, the result is 36. Find the number.


If 11 is subtracted from 4 times a number, the result is 89. Find the number.


Find a number which when multiplied by 5 is increased by 80.


The sum of three consecutive natural numbers is 114. Find the numbers.


When Raju multiplies a certain number by 17 and adds 4 to the product, he gets 225. Find that number.


If a number is tripled and the result is increased by 5, we get 50. Find the number.


One out of two numbers is thrice the other. If their sum is 124, find the numbers.


Find two numbers such that one of them is five times the other and their difference is 132.


The sum of two consecutive even numbers is 74. Find the numbers.


The diameter of a circle is a line which joins two points on the circle and also passed through the centre of the circle. (In the adjoining figure AB is a diameter of the circle; C is its centre.) Express the diameter of the circle (d) in terms of its radius (r).


The length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square?


A wire is (7x – 3) metres long. A length of (3x – 4) metres is cut for use. Now, answer the following questions:

  1. How much wire is left?
  2. If this left out wire is used for making an equilateral triangle. What is the length of each side of the triangle so formed?

The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of natural numbers from 11 to 30.


The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 10.


The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 19.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×