Tag: solution of a linear equation in one variable

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Multiple choice maths equation reducing simple equations to simpler form solving linear equations solution of a linear equation in one variable

Simplify: 
$\displaystyle x-\left[ y-{ x-\left( y-1 \right) -2x}  \right] $

  1. $2y+1$
  2. $-2y+1$
  3. $2x+y-1$
  4. $2x-y-1$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

On simplified, we have

$\displaystyle x-\left[ y-{ x-\left( y-1 \right) -2x}  \right] $
$=x-\left[ y-{ x-y+1-2x}  \right] $
=$\displaystyle x-\left[ y-{ -x-y+1}  \right] =x-\left[ y+x+y-1 \right] $
=$\displaystyle x-\left[ 2y+x-1 \right] =x-2y-x+1=-2y+1$
Hence, simplified form of the given expression is $-2y+1$.

Multiple choice maths equation reducing simple equations to simpler form solving linear equations solution of a linear equation in one variable

If $Rs.50$ is distributed among $150$ children giving $50p$ to each boy and $25p$ to each girl, then the number of boys is:

  1. $25$
  2. $40$
  3. $36$
  4. $50$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
Let the number of boys $= x$
then number of girls $= 150-x$ 
According to the problem, the total money divided between girls and boys are:
$\cfrac { 50 }{ 100 } \times  (x)+\cfrac { 25 }{ 100 } (150x)=50$
Multiply equation by $100$, we get
$50x+(150x)25 = 5000$
$\Rightarrow 50x+375025x = 5000$
$\Rightarrow 25x = 1250$
$\Rightarrow x = 50$
Multiple choice maths equation reducing simple equations to simpler form solving linear equations solution of a linear equation in one variable

IF the lines $ \displaystyle y=m _{1}x+c $  and $  y=m _{2}x+c _{2}  $ are parallel , then 

  1. $ \displaystyle m _{1}=m _{2} $
  2. $ \displaystyle m _{1}=m _{2} =1 $
  3. $ \displaystyle m _{1}=m _{2} =-1 $
  4. $ \displaystyle m _{1}=m _{2} =0 $
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Two lines are said to be parallel if the slopes of two line will be equal
$m _1=m _2$