Tag: equations from statements

Questions Related to equations from statements

Equation for the statement: 'thrice the length (L) of a room is 340 metres'

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $3L = 43$

  2. $3L = 340$

  3. $3 + L= 34$

  4. None of these

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Correct Option: B
Explanation:

$\Rightarrow$  The length of room is $L.$

$\Rightarrow$  So, thrice the length means $3L.$

The equation for thrice the length of the room is $340 \ meters$

$\Rightarrow$  $3L=340\ meters.$

The equation for the statement:"half a number added to 10 is 15".

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $\dfrac{X}{2}\,+ 10\,+ 5$

  2. $\dfrac{X}{2}\,+ 10\,= 5$

  3. $\dfrac{X}{2}\,+ 15\,= 10$

  4. $\dfrac{X}{2}\,= -10\,+ 15$

Show answer
Correct Option: D
Explanation:

Let the number be $X.$

Half of the number is $\dfrac{X}{2}$
Half a number added to $10$ is $\dfrac{X}{2}+10$
So, according to the question,
$\Rightarrow$  $\dfrac{X}{2}+10=15$

$\Rightarrow$  $\dfrac{X}{2}=-10+15$

In three coloured boxes - Red, Green and Blue, $108$ balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box?

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $18$

  2. $36$

  3. $45$

  4. None of these

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Correct Option: D

The following expressions in statement is given as:
$x+3$

3 is added to x

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. True

  2. False

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Correct Option: A
Explanation:

Yes the  statement is correct. This defines the expression in words.

The following expressions in statement is given as:
$y-7$ 


7 is subtracted from y

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. True

  2. False

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Correct Option: A
Explanation:

The satement is true.  7 is being subtracted from y.

The $ \dfrac{x}{5}$ expression in the statement is given as $x$ is divided by $5$.

Check whether the statement is true or false.

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. True

  2. False

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Correct Option: A
Explanation:

The statemnt is true.  x is being divided by 5.

Twelve less than $3$ times a number is $27$. The number is ___________.

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $29$

  2. $39$

  3. $65$

  4. $13$

Show answer
Correct Option: D
Explanation:

Let the number be $x$.
According to question,
$3x - 12 = 27$

$\Rightarrow 3x = 39$
$\Rightarrow x = \dfrac {39}{3} = 13$

The equation for the statement; 'Half of a number added to $10$ is $15$' is __________.

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $\dfrac {x}{2} = 10 + 5$

  2. $\dfrac {x}{2} + 10 = 15$

  3. $\dfrac {x}{2} = 15 + 10$

  4. $\dfrac {x}{2} = 10 + 15$

Show answer
Correct Option: B
Explanation:

Let, the number be $x$
Half of a number $=$ $\dfrac{x}{2}$
Therefore, the required equation is $\dfrac{x}{2}$ $+10 = 15$.

Kapil bought some packets of pens. He bought one packet containing $5$ pens and $n$ packets containing $2$ pens each. Which of the following expressions could be used to find the total number of pens that Kapil bought ? 

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $7n$

  2. $10n$

  3. $5 + 2n$

  4. $2 + 5n$

Show answer
Correct Option: C
Explanation:

Number of packets bought $= 1 + n$

Given that, 
Single packet has $5$ pens and $n$ packets have $2$ pens each
$\therefore$ Total number of pens in $n$ packets $= 2n$

$\therefore$ Total number of pens bought by Kapil $= 2n + 5$

If five times of a number is $80$, then the number is ________.

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $-16$

  2. $1$

  3. $16$

  4. $40$

Show answer
Correct Option: C
Explanation:

Let, the number be $x$
$5 $ times of a number $=$ $5\times x$
Therefore, $5x=80$
$\Rightarrow x =\dfrac{80}{5}$ $=16$