Simple Equations Class 7 Worksheet Maths Chapter 4
Q1: If L.H.S. = R.H.S. of an equation, then the equation will be
(a) Balanced
(b) Unbalanced
(c) Constant
(d) Wrong
View AnswerAns: a
Sol: If L.H.S. = R.H.S. of an equation, then the equation is said to be balanced because the value of the left hand side is equal to the value of the right hand side of an equation.
Q2: In an equation, there is always a/an
(a) equality sign (=)
(b) greater than sign (>)
(c) less than sign (<)
(d) division sign ( ∏)
View AnswerAns: a
Sol: An equality sign shows the relationship in which the values on each side of an equation are exactly equal.
Q3: The equation form of the given statement ‘6 less than a number is 13’ will be
(a) x - 6 = 13
(b) 6x = 13
(c) x - 13 = 6
(d) x= 13 - 6
View AnswerAns: a
Sol: Let x be the unknown number.
6 less than the number x can be represented as x - 6.
So, the equation is:
x - 6 = 13.
So, the correct equation form is (a) x - 6 = 13.
Q4: If the sum of three consecutive even numbers is 78 then the numbers will be
(a) 10, 12 an 14
(b) 16, 18 and 20
(c) 22, 24 and 26
(d) 24, 26 and 28
View AnswerAns. d
Sol: Let us assume three consecutive even numbers are x, x + 2 and x + 4
Therefore, according to question x + (x + 2) + (x + 4) = 78
3x + 6 = 78
3x = 78 – 6 = 72
x = 24 (Divide both side by 3)
Thus, the numbers are
x = 24, x + 2 = 26 and x + 4 = 28.
Q5: The statement form of the given equation ‘x - 4 = 5’ is
(a) Taking away 5 from x gives 4
(b) Taking away 4 from 5 gives x
(c) Taking away 4 from x gives 5
(d) Taking away 5 from 4 gives x
View AnswerAns. c
Sol: The equation is essentially saying that if we take away 4 from x, we will get 5.
So, option (c) accurately represents the given equation in statement form.
Q6: Subtract 7 from thrice a number the result is 8. The equation form of the above statement is
(a) 7x - 2 = 8
(b) x - 2 = 7
(c) 3x - 7 = 8
(d) 2x - 8 = 7
View AnswerAns: c
Sol: Let x be a number
Subtract 7 from trice a number = 3x - 7
Now, The equation form of the given statement is 3x - 7 = 8.
Q7: The statement form of the given equation ‘2x + 6 = 24’ is
(a) Twice a number is 24 increased by 6
(b) Twice a number increased by 6 is 24
(c) Twice a number is 24 and increased by 6
(d) Twice a number increased by 24 is 6
View AnswerAns: b
Sol: 2x = Twice a number of x and, 2x + 6 = twice a number increase by 6
And, 2x + 6 = 24 means twice a number increased by 6 is 24.
Q8: For the equation 6p - 4 = 8, the solution will be
(a) p = 1
(b) p = 2
(c) p = 3
(d) p = 4
View AnswerAns: b
Sol: Given 6p - 4 = 8 For p = 2,
L.H.S. = 6 x 2 – 4 = 12 - 4 = 8 = R.H.S.
Thus, L.H.S. = R.H.S.
Therefore, p = 2 is a solution for the given equation 6p - 4 = 8.
Q9: The value of a variable is
(a) 0
(b) 1
(c) fixed
(d) not fixed
View AnswerAns: d
Sol: The value of a variable is not fixed because a variable can take different numerical values.
For example:
If x = 3, we say that the value of x is 3.
In other case, if we want to find the value of x in a given equation x - 4 = 2, then the value of x = 2 + 4 = 6.
Taking another example, if we want to find the value of x in 3x = 6,
then the value of x = 6/3 = 2.
Hence, we say that the variable x can take different values.
Q10: Karan says that he has 6 balls more than five times the number of balls Sumit has. If Karan has 36 balls and Sumit has x number of balls, then the equation form for this statement is
(a) 5x + 6 = 36
(b) 5x + 36 = 6
(c) 5x - 6 = 36
(d) 5x - 36 = 6
View AnswerAns: a
Sol: Karan has 36 balls. Let Sumit has x number of balls, we can represent the statement as:
5x + 6 = 36.
So, the equation form for this statement is (a) 5x + 6 = 36.
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Dec 26, 2024 Last updated |
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