Simple Equations Questions

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Simple Equations Questions

List of simple equations Questions

Question NoQuestionsClass
1A man bought a plot of land for
Rs. 8,47,500 to build a house. He spent Rs. 3,94,252 on building materials and
he paid ( R s .95,846 ) to laboures build
the house. How much money did he spend in all?
7
2The line represented by ( x=7 ) is parallel
to the ( x ) -axis. Justify whether the statement is true or not.
A . True
B. False
7
3The sum of ( 15, x, 51,2 x+3 ) is 114 find
( x )
7
4The linear equation ( (2 x+5 y=7) ) has
A. a unique solution.
B. two solutions.
c. infinitely many solutions
D. no solution
7
5If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:
A. changes
B. remains the same
c. changes in case of multiplication only
D. changes in case of division only
7
6A child drank 250 lit. on Sunday. On Monday he drank 650 lit. On Tuesday he drank 100 lit. How much in all did the
child drink?
A. 950 lit
B. 1000 litt
c. 850 lit
D. None of these
7
7State which of the following are equation (with a variable) given reason and tell your answer. identify the variable from the equation with a variable.
( frac{3 q}{2}<5 )
7
8Which of the following can be expressed as the sum of square of two positive integers, as well as three positive integers?
A . 75
в. 192
( c cdot 250 )
D. 100
7
9What is an equation?
A. A statement in which the values of two mathematical
expressions are equal
B. An expression that computes the values of variables.
C. A mathematical expression.
D. None of these
7
10The average weight of 39 students in a
class is ( 23 mathrm{kgs} ). Among them Sita is the heaviest while Tina is the lightest. If
both of them are excluded from the
class still the average remains same.
The ratio of weight of Sita to Tina is 15:
8, then what is the weight of the Tina?
7
11Give the geometric representations of
( 2 x+9=0 ) as an equation
(i) in one variable
(ii) in two variable
7
12The weight of Rahul is ( 5 k g ) more than
Sachin.The weight of Samir is 12 kg less than double the weight of Sachin.lf the total weight of all the three is 93 find the weight of each one of them.
A. Sachin-25 kg, Rahul – 30 kg, Samir 38kg
B. Sachin-25 kg, Rahul -30 kg, Samir 40 kg
c. Sachin- -25 kg, Rahul – 38 kg, Samir -25 kg
D. Sachin- -25 kg, Rahul -38 kg, Samir 38kg
7
13The product of 2 rational numbers is ( frac{-28}{81} . ) If one of them is ( frac{14}{27} ) then the other one?7
14we UI MUTE statements given in LUUMI-A.
1.
Column-II
(p) 2
(q) 13
Find the value of x.
Column-I
(A) 8x +4=3 (x-1)+7
3x-2 2x+3 2
4 3 3
(©) 3 (5x – 7) -2(9x -11)
=4(8x – 13)-17
x+17 3
X +7 2
(r) 0
(s) 0<x<4
7
15Find the addition of ( -2 x+1 ) and
( -2 x-2 )
7
16Number of sides of equation in simple equation is/ are
A. Two
B. One
c. Three
D. None of these
7
17The largest number of the three
consecutive number is ( x+1 ) then the
smallest number is
( mathbf{A} cdot x+2 )
B. ( x+1 )
( c )
D. ( x-1 )
7
18Solve:
( frac{5 p+2}{8-2 p}=frac{7}{6} )
7
19If ( boldsymbol{x}+mathbf{1}<mathbf{0} ) then ( |boldsymbol{x}| ) is
( mathbf{A} cdot mathbf{0} )
B. ( x+1 )
( c .-x )
D. ( -x-1 )
( E )
7
20If ( frac{2 y+5}{3}=3 y-10, ) then the value of ( y )
is-
A . 4
B. 3
( c cdot 2 )
D. None of these
7
21A man spends ( frac{1}{5} ) of his salary to meet pocket expenses and ( frac{4}{5} ) of the
remainder to meet other expenses If his
monthly savings amount to Rs 1200 his monthly salary is
( A cdot R s 3,750 )
B. Rs 8,500
c. ( R s 7,000 )
D. Rs 7,500
7
22Solve the equation ( frac{2}{2-x}+frac{1}{2}- ) ( frac{4}{x(2-x)}=0 )7
23The sum of three number is ( 15 . ) If the
second number is subtracted from the
sum of first and third number then we
get 5 an if twice of first number is added to second and if the third number
is subtracted from the sum we get 4
7
24State which of the following are equations (with a variable ). Give reason
for your answer. Identify the variable from the equations with a variable. ( frac{4}{2}=2 )
7
25If ( frac{x^{2}+n}{x^{2}+4}=1, ) then ( n= )
A. 4
B. 3
c.
D.
E . -3
7
26The Inverse expression of ( x+frac{1}{x} ) will be:
A ( frac{x^{2}+1}{x} )
B. ( frac{1}{x}-x )
c. ( frac{x}{x^{2}+1} )
D. ( frac{x}{x^{2}-1} )
7
27The equation ( _{-}-_{-}-_{-}–_{-}- ) and ( 2 x+ )
( 2=0 ) have the same solution.
A ( . x-1=0 )
B . ( x+1=0 )
c. ( x-2=0 )
D. ( x+2=0 )
7
28Draw the graph of each of the following equations:
¡) ( boldsymbol{x}=mathbf{5} )
7
29Show that no triangular number can be
of the form ( 3 n-1 )
7
3061. Of the three numbers, the first
number is twice of the second
and the second is thrice of the
third number. If the average of
these 3 numbers is 20, then the
sum of the largest and smallest
numbers is
(1) 24
(2) 42
(3) 54 (4) 60
7
31State which of the following are equation (with a variable) given reason and tell your answer. identify the variable from the equation with a variable.
( mathbf{7}=(mathbf{1 1} times mathbf{2}) div boldsymbol{p} )
7
32The difference of two numbers is 21 , the
larger number is ( x, ) then smaller number
is
A. 21+x
B. 21-x
c. ( x-21 )
D. -x-21
7
33Abhishek has Rs.7.45. He bought toffees
for Rs.5.30. Find the balance amount left
with him.
7
34The value of the variable which satisfies
the equation is called the
A . coefficient
B. degree
c. variable
D. solution of the equation
7
35Form the expression for: “Sum of number ( a ) and ( b ) subtracted from their
product-
7
36Solve the equation
[
begin{array}{l}
frac{(x-b)(x-c)}{(a-b)(a-c)}+frac{(x-c)(x-a)}{(b-c)(b-a)}+ \
frac{(x-a)(x-b)}{(c-a)(c-b)}=1
end{array}
]
7
37What is a linear equation?7
38Write L.H.S and R.H.S of the following simple equations:
( 2 a-3=5 )
7
39State true or false:
If we multiply both sides of an equation by zero, then we can create an
equivalent equation.
A. True
B. False
7
4064. Two numbers are 30% and 40%
more than the third number re-
spectively. The first number is
x% of the second. Then x=
(1) 105
(3) 105
(2) 140
(492
7
41If ( 2 x+frac{1}{3 x}=5 ) then the value of
( frac{5 x}{6 x^{2}+20 x+1} ) is
A ( cdot frac{3}{7} )
B. ( frac{2}{7} )
( c cdot frac{1}{7} )
D.
7
42Find ( mathbf{k} ) if ( frac{mathbf{1}}{mathbf{6} !}+frac{mathbf{1}}{mathbf{7} !}=frac{boldsymbol{k}}{mathbf{8} !} )7
43( ln frac{2}{3} p-2 frac{1}{2}=3 frac{1}{2}, ) the value of ( p ) is
A . – 9
B. +6
( c cdot+9 )
D.
7
44Find and correct errors of the following mathematical expressions:
( x+2 x+3 x=6 x )
7
45The numerator of a fraction is 4
less than its denominator. If the
numerator is decreased by 2 and
the denominator is increased by
1, then the denominator becomes
eight times the numerator. Find
the fraction.
0000
7
46Express the given linear equation in the form ( a x+b y+c=0 ) and indicate the
values of ( a, b ) and ( c ) in given case:
( boldsymbol{x}-frac{boldsymbol{y}}{mathbf{2}}-mathbf{5}=mathbf{0} )
7
47Lightning quickly heats the air causing it to expand, which produces the sound
of thunder.

Sound travels approximately 1 mile in 5 seconds. Knowing ( boldsymbol{X}=boldsymbol{r} cdot boldsymbol{t} ) (where ( boldsymbol{D}= )
distance, ( r=text { rate and } t=text { time }), ) how
far away is a thunderstrom when you
notice a 3 -second delay between the
flash of lightning and the sound of
thunder?
( mathbf{A} cdot 1 ) mile away
B. ( 3 / 5 ) mile away
c. ( 1 / 2 ) mile away
D. ( 1 / 5 ) mile away

7
48Get the algebraic expressions in the following case using variable, constants and arithmetic operations. One-half of the sum of numbers x and y7
49( 9548+7314=8362+(?) )
A .8230
В. 8410
( c .8500 )
D. 8600
E. None of these
7
5015. Naresh’s age is 4 years less than
twice the age of his brother. Which
of the following represents the
equation to find his age?
(1) 2x + 4 (2) 4x + 2
(3) X-4
(4) 2x – 4
7
511. A wall is built with 254 bricks. A
builder has to built 88 such walls.
He has 20,100 bricks and has
ordered for 500 more bricks.
How many bricks still be re-
quired ?
(1) 2352 (2) 1352
(3) 1752 (4) 2052
7
52Solve:3 ( -2 x geq x-32 ) for ( x in I )7
53Solve: ( -frac{5 x-4}{8}-frac{x-3}{5}=frac{x-6}{4} )7
54( A, B ) and ( c ) can do a piece of work in 12 days, 15 days and 10 days respectively In what time will they all together finish it?
A. 6 days
B. 4 days
c. 8 days
D. 2 days
7
55Number of variables in a simple linear equation are
A. Two
B. one
c. 0
D. None
7
56If ( x ) is an even number then the
consecutive even number is
( A cdot x+1 )
B. x+2
( c cdot 2 x )
D. x-2
7
57Mohit baked 2000 cookies. He sold 600
of them and gave the rest equally to 20 of his friends. How many cookies did
each of his friends receive?
A . 18
B. 70
c. 80
D. 1400
7
58The sum of numeretor and deniminator
of a faction 4 more than its numerator If
3 is added to numerator and
denominator, its ratio becomes 2: 3
Find the fraction
7
59If ( frac{3 x-1}{5}-frac{1+x}{2}=3-frac{x-1}{2}, ) then ( x= )
( A cdot 2 )
B. 3
( c cdot 7 )
D. 12/7
7
6066. A number xwhen divided by 289
leaves 18 as the remainder. The
same number when divided by
17 leaves y as a remainder. The
value of y is
(1) 5
(2) 2
(3) 3
(4) 1
7
61The equation ( x-2=0 ) on number line
is represented by
( A ). a line
B. a point
c. infinitely many lines
D. two lines
7
62Value of ( x ) in ( frac{2}{3} x+6=12 )
A . –
B. +27
( c cdot+9 )
D. -27
7
6356. A drum of kerosene is full.
When 30 litres of kerosene is
drawn from it, it remains full.
The capacity of the drum is
(1) 1201 (2) 135 1
(3) 1501 (4) 180 1
7
64Get the algebraic expressions in the
following case using variables, constants and arithmetic operations. One-fourth of the product of numbers p and ( q )
7
65How are the points (0,1),(3,1) and (1,3) situated with respect to the circle ( x^{2}+y^{2}-2 x-4 y+3=0 )7
66( 2+frac{1+n}{n}=frac{7}{2} ) find ( n )7
67Solve: for ( x )
( frac{3-2 x}{2 x+5}=-frac{3}{11} )
7
68The difference of the squares of two
consecutive odd integers is divisible by which of the following integers?
( A cdot 3 )
B. 6
( c cdot 7 )
D. 8
7
69The substraction of 3 from ( 2 x ) is
represent as
A. ( 2 x-3 )
B. 3-2xx
( c cdot 2 x+3 )
( D cdot frac{2 x}{3} )
7
70Solve
( boldsymbol{x}-boldsymbol{4}=boldsymbol{9} )
7
71Write the expression of following
statement:
5 is taken from ( y ) we get ( x )
7
72Equations with linear expressions in one variable only are called in
one variable.
7
73Convert the statement into an equation Adding 14 to 9 times ( y ) is 89
A ( .14 y+9=89 )
B. ( 14+9 y=89 )
c. ( 14-9 y=-89 )
D. ( 14+y=89 )
7
74Find ( x )
i)x-4=3
ii) ( 9 x=81 )
iii)x+6=10
A ( . x=7,9,4 )
( c cdot x=-1,4,5 )
D. ( x=-3,6,7 )
7
75The value of ( left(1+frac{1}{a}right)left(1+frac{1}{a-1}right)left(1+frac{1}{a-2}right) )
A. ( frac{a-3}{a} )
B. ( frac{a+1}{a-4} )
c. ( frac{a+1}{a-1} )
D. ( frac{a-1}{a-4} )
7
76A man travelled ( 72 mathrm{km} ) to the North of
Hubballi and then ( 121 mathrm{km} ) to the south
of it. How far from Hubballi was he
finally.
( mathbf{A} cdot 49 mathrm{km} )
B. 9 кт
c. ( 49 mathrm{m} )
D. ( 4 mathrm{km} )
7
77The parking charges of a vehicle in a
shopping centre is ( R s 40 ) for first 2
hours and ( R s 5 ) for each subsequent
hour. Write an equation for 8 hours.
7
78Solve in positive integers:
( 5 x+2 y=53 )
A. ( x=1,3,5,7,9 ; y=24,19,14,9,4 )
В. ( x=2,4,6,8,10 ; y=23,20,13,8,3 )
c. ( x=11,13,15,17,19 ; y=1,3,4,6,9 )
D. None of these
7
7919. Five years ago, the ages of Raju
and Rani were in the ratio 1:
10. Today the sum of their ages
is 32 years. What will be their
ages after 10 years ?
(1) 7, 27 (2) 17, 35
(3) 15, 55 (4) 18, 38
7
80Find the general solution of the
congruence ( 98 x-1 equiv 0(bmod .139) )
7
81Simplify ( frac{x}{sqrt{x+4}}, x>0 )7
82If ( a=0.1039, ) then the value of ( sqrt{4 a^{2}-4 a+1}+3 a ) is:
A . 0.1039
B. 0.2078
c. 1.1039
D. 2.1039
7
83If ( 1400 times x=1050 . ) Then, ( x=? )
A ( cdot frac{1}{4} )
B. 3
( c cdot frac{2}{3} )
D.
E. None of these
7
84Solve for ( -boldsymbol{x} )
( frac{mathbf{5}}{boldsymbol{x}}=frac{mathbf{7}}{boldsymbol{x}-mathbf{4}} )
7
85Standard form for linear equation in one variable?7
86Identify the variable from the equation, ( (t-7)>5 ? )7
87Fill in the blank:
If a system has at least one solution, it is said to be
A. Consistent
B. Inconsistent
c. Dependent
D. Independent
7

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