Simple Equations(7th Grade > Mathematics ) Questions and answers for exam Preparation

7th Grade > Mathematics

SIMPLE EQUATIONS MCQs

Total Questions : 118 | Page 9 of 12 pages

My granddaughter is 10 years old in 2015. I am 8 more than 6 times her age. I was born in the year

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Answer: Option A. ->
:

Grand daughter's age is $10$ years now. So her grandpa's age is
$8 + 6 \times 10 = 8 + 60 = 68$
Grandpa is $68 y e a r s$ old by $2015$ . So he was born in $1947$ .

Question 82.

Bittu tells Kitty " I have 5 chocolates more than seven times the number of chocolates you have”, if Kitty has 5 chocolates, how many chocolates does Bittu have ?

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Answer: Option A. ->
:

The number of chocolates Bittu has
= $5 + (7 \times number of chocolates Kitty has) = 5 + (7 \times 5)$
$= 40$

Question 83.

$2 a - 15 = 10$ and $10 = - 15 + 2 a$ are not the same equations.

True
False
$4, 4$
$8, 10$

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Answer: Option B. -> False
:
B

An equation remains same even if the LHS and RHS are interchanged.

Question 84.

$x + 3 = 8$ is called an algebraic ______.

variable
expression
equation
statement

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Answer: Option C. -> equation
:
C

An algebraic expression having an equality sign is called an equation. An equation is a constraint placed on a variable which is in an expression.

Question 85.

The value of $y$ that satisfies the equation $3 (y + 2) = 12$ is

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Answer: Option B. ->

2

:
B

$3 (y + 2) = 12$
Dividing both the sides of the equation by 3,
$\frac{3 (y + 2)}{3} = \frac{12}{3} y + 2 = 4$
Subtracting 2 from both the sides of the equation,
$y + 2 - 2 = 4 - 2$
$∴ y = 2$

Question 86.

Tony scored twice as many runs as Kohli. Together they scored $6$ runs short of triple century. How many runs did each score?

$196, 98$
$96, 192$
$19, 38$
$250, 125$

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Answer: Option A. ->

196, 98

:
A
Runs scored by Kohli be

x

. Then, runs scored by Tony will be

2 x

2 x + x = 300 - 6 = 294

3 x = 294

x = \frac{294}{3} = 98

So, Kohli scores 98 and Tony scores 196 runs.

Question 87.

Frame an equation for the statement: "A number is four times another number and their difference is 12".

$x + 4 x = 12$
$4 x - x = 12$
$4 x = 12$
$5 x = 15$

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Answer: Option B. ->

4 x - x = 12

:
B

Let the number be x .

The other number is four times x, that is 4 x .

Difference between them is 12: \Rightarrow (4 x - x) = 12

Hence, the required equation is 4 x - x = 12.

Question 88.

For the equation: $3 z + \frac{7}{2}$ = $\frac{5}{2}$ , ' $z$ ' is equal to ____.

$\frac{1}{3}$
$\frac{- 1}{3}$
$\frac{- 2}{3}$
$\frac{2}{3}$

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Answer: Option B. ->

\frac{- 1}{3}

:
B

3 z + \frac{7}{2} = \frac{5}{2}

\frac{6 z + 7}{2} = \frac{5}{2}

(by taking the LCM)

\frac{6 z + 7}{2} \times 2 = \frac{5}{2} \times 2

6 z + 7 = 5

6 z + 7 - 7 = 5 - 7

6 z = - 2

\frac{6 z}{6} = \frac{- 2}{6}

∴ z = \frac{- 1}{3}

Question 89.

If a certain number when decreased by $21$ becomes $81$ , what is the number?

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Answer: Option B. ->

\frac{- 1}{3}

$Let the number be x.$
$x - 21 = 81$
$x = 102$

Question 90.

7 years hence, Sarosh's father age will be thrice that of Sarosh's age. Presently father's age is 6 times of Sarosh's age. Sum of their present ages is equal to:

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Answer: Option B. ->