Give expressions in the following cases.
(a) 11 added to $ 2 m $
(b) 11 subtracted from $ 2 m $
(c) 5 times $ y $ to which 3 is added
(d) 5 times $ y $ from which 3 is subtracted
(e) $ y $ is multiplied by $ -8 $
(f) $ y $ is multiplied by $ -8 $ and then 5 is added to the result
(g) $ y $ is multiplied by 5 and the result is subtracted from 16
(h) $ y $ is multiplied by $ -5 $ and the result is added to 16.
To do:
We have to give expressions in the given cases.
Solutions:
(a) 11 added to $2m$ is $(2m + 11)$
(b) 11 subtracted from $2m$ is $(2m - 11)$
(c) 5 times $y$ to which 3 is added is $(5y + 3)$
(d) 5 times $y$ from which 3 is subtracted is $(5y - 3)$
(e) $y$ is multiplied by $-8$ is $(-8y)$
(f) $y$ is multiplied by $-8$ and then 5 is added to the result is $(-8y + 5)$
(g) $y$ is multiplied by 5 and the result is subtracted from 16 is $(16 - 5y)$
(h) $y$ is multiplied by $-5$ and the result is added to 16 is $(-5y + 16)$
Related Articles
- Give expression for the following case: ' \( y \) is multiplied by $-5$ and the result is subtracted from $-16$.
- Give expressions for the following cases.(a) 7 added to \( p \)(b) 7 subtracted from \( p \)(c) p multiplied by 7(d) \( p \) divided by 7(e) 7 subtracted from \( -m \)(f) \( -p \) multiplied by 5(g) \( -p \) divided by 5(h) \( p \) multiplied by \( -5 \)
- $\frac{1}{2}$ is subtracted from a number and the difference is multiplied by 4. If 25 is added to the product and the sum is divided by 3, the result is equal to 10. Find the number.
- If 2 subtracted from y is 8, then find the value of y.
- When 3 is added to the denominator and 2 is subtracted from the numerator a fraction becomes $\frac{1}{4}$. And, when 6 is added to numerator and the denominator is multiplied by 3, it becomes $\frac{2}{3}$. Find the fraction.
- 297 Multiplied By 17 Added to 297 Multiplied By 3.
- A rational number $\frac{6}{7}$ is subtracted from $\frac{9}{11}$. The result is then added to the additive inverse of $\frac{-5}{8}$. What is the reciprocal of the final sum?
- Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.$(i)$ Subtraction of $z$ from $y$.$(ii)$ One-half of the sum of numbers x and y.$(iii)$ The number z multiplied by itself.$(iv)$ One-fourth of the product of numbers p and q.$(v)$ Numbers x and y both squared and added.$(vi)$ Number 5 added to three times the product of numbers m and n.$(viii)$ Product of numbers y and z subtracted from 10.$(viii)$ Sum of numbers a and b subtracted from their product.
- Add the following algebraic expressions.a) \( x+5 \) and \( x+3 \)b) \( 3 x+4 \) and \( 4 x+9 \)c) \( 5 y-2 \) and \( 2 y+7 \) d) \( 8 y-3 \) and \( 5 y-6 \)
- Find the point on $y-$axis which is equidistant from the points $( 5,\ - 2)$ and $( -3,\ 2)$.
- A pair of linear equations which has a unique solution \( x=2, y=-3 \) is(A) \( x+y=-1 \)\( 2 x-3 y=-5 \)(B) \( 2 x+5 y=-11 \)\( 4 x+10 y=-22 \)(C) \( 2 x-y=1 \)\( 3 x+2 y=0 \)(D) \( x-4 y-14=0 \)\( 5 x-y-13=0 \)
- Find a point on y-axis which is equidistant from the points $(5, -2)$ and $(-3, 2)$.
- Verify the property: $x \times y = y \times x$ by taking:(i) \( x=-\frac{1}{3}, y=\frac{2}{7} \)(ii) \( x=\frac{-3}{5}, y=\frac{-11}{13} \)(iii) \( x=2, y=\frac{7}{-8} \)(iv) \( x=0, y=\frac{-15}{8} \)
- Write the following statement as an expression:The number $x$ is divided by 11 and then 4 is added to the result.
- Verify that \( y=9 \) is the solution of the equation \( \frac{y}{3}+5=8 \).
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies