CBSE Class 7 Mathematics Simple Equations Assignment Set 01

Question. What is the va lue of 'x' in 3x - 1/5 - 1+x/2 = 3 - x - 1/2 ?
(A) 5
(B) -7
(C) 7
(D) -5
Answer : C

Question. If 0.2(2x -1)- 0.5(3x - 1) = 0.4, what is the value of 'x'?
(A) 1/11
(B) - 1/11
(C) 3/11
(D) - 3/11
Answer : B

Question. In each of these figures the solution of an equation is given in brackets. Which of them is correct?

Answer : C

Question. Sunil wrote an equation as m/5 = 4. Ravi wrote a statement for Sunil's equation.
Which of these is the statement of Ravi if he has written correctly?
(A) One-fifth of'm' is 4.
(B) One-fifth of a number is 5.
(C) One-fourth of 'm' is 4.
(D) One-fourth of a number is 4.
Answer : A

Question. In which of the following cases does an equality NOT hold?
(A) Adding the same number on both the sides.
(B) Not performing the same operation on both the sides.
(C) Subtracting the same number from both the sides.
(D) Multiplying both the sides by the same non-zero number.
Answer : B

Question. What are the two steps involved in solving the equation 15x + 4 = 26?
(A) Subtracting 4 from both the sides and then dividing both sides by 15.
(B) Adding 4 on both sides & then multiplying both sides by 15.
(C) Subtracting 4 on the L. H.S. and multiplying by 15 on the R. H.S.
(D) Adding 4 on the L.H.S. and dividing by 15 on the R.H.S.
Answer : A

Question. Which of the following equations can be constructed with x = 2?
(A) 3x + 4 = 8
(B) 3x- 4 = 2
(C) 3x + 4 = 2
(D) 3x - 4 = 8
Answer : B

Question. 7 subtracted from 5/2 of a number results in 23. What is the number?
(A) - 10
(B) 10
(C) 12
(D) - 12
Answer : C

Question. In a coconut grove, (x + 2) trees yield 60 coconuts per year, x trees yield 120 coconuts per year and (x - 2) trees yield 180 coconuts per year. If the average yield per year per tree is 1 00, find x.
(A) 4
(B) 3
(C) 2
(D) 1
Answer : A

Question. 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.
(A) 16
(B) 12
(C) 8
(D) 20
Answer : A

Question. A number is 31ess than two times the other. If their sum is increased by 7, the result is 37. Find the numbers.
(A) 9, 11
(B) 11,13
(C) 11 ,19
(D) 9,13
Answer : V

Question. 1/2 is subtracted from a number and the difference is multiplied by4.1f25 is added to the product and the sum is divided by 3, the result is equal to 10. Find the number.
(A) 3/5
(B) 7/4
(C) 6/7
(D) 2/3
Answer : B

Question. The present age of A is twice that of B. 30 years from now, age of A will be 1 Y2 times that of B. Find the present ages (in years) of A and B respectively.
(A) 60, 30
(B) 30, 60
(C) 40, 50
(D) 50, 40
Answer : A

Question. A person travelled 5th/8 of the distance by train, 1th/4 by bus and the remaining 15 km by boat. Find the total distance travelled by him.
(A) 90 km
(B) 120 km
(C) 150 km
(D) 180km
Answer : B

Question. The total cost of three prizes is 2550.1f the value of second prize is 3th/4 of the first and the value of 3'd prize is 1/2 of the second prize, find the value of first prize.
(A) ₹ 900
(B) ₹ 1500
(C) ₹ 1200
(D) ₹ 450
Answer : C

Question. Which of the following is an equation?
(A) 4x + 5 = 65
(B) 4x + 5 < 65
(C) 4x + 5 > 65
(D) 4x + 5 ≠ 65
Answer : A

Question. Which of the following is an algebraic expression for the statement "The sum of 3x and 11 is 32."?
(A) 11x + 3 = 32
(B) 3x + 11 = 32
(C) 3x + 32 = 11
(D) 11x + 32 = 11
Answer : B

Question. Choose the statement that best describes the equation (1/4)m = 1 0.
(A) One - fourth of 10 is m.
(B) One - fourth of m is 3 more than 3.
(C) One - fourth of m is 1 0.
(D) Four times m is 1 0.
Answer : C

Question. Vinay's father is 44 years old. If he is 5 years older than thrice Vinay's age, which of these equations gives, the age of Vi nay's father?
(A) 3x + 5 = 44
(B) 44 + 5x = 3x
(C) 44-3y = 5+3y
(D) 3x-5 = 44
Answer : A

Question. Which of the following statements is false?
(A) The solution of 4x = 60 is 12.
(B) y = 7 satisfies the equation y + 0 = 7.
(C) p = 5/2 is the solution of 12p- 5 = 25.
(D) m = 2 is the solution of 4(m + 3) = 18.
Answer : A

Question. Which of the following does not affect the given equation?
(A) Adding 0 on the L.H.S. and 1 on the R. H. S.
(B) Adding 1 on the L.H.S. and (-1) on the R.H.S.
(C) Adding the same number on both sides of the equation.
(D) Adding 0 on the R. H. S. and 1 on the L.H.S.
Answer : C

Question. P is a linear equation. How many solutions does P have?
(A) 1
(B) 0
(C) 3
(D) Infinitely many
Answer : A

Question. Ramesh got 5 marks more than Sonu in a test. If the total marks secured by them is 15, how many marks did Ramesh get?
(A) 25
(B) 5
(C) 15
(D) 10
Answer : D

Question. In a test match, Sachin scored twice as many runs as Sehwag. Together, their runs fell two short of a double century. How many runs did Sachin score?
(A) 66
(B) 132
(C) 198
(D) 200
Answer : B

Question. In a math test, the highest marks obtained by a student in the class is twice the lowest marks plus 7. If the highest score is 87, what is the lowest score?
(A) 42
(B) 39
(C) 40
(D) 44
Answer : C

Question. A teacher asks the students of her class to write an equation for the statement 'Ten times a number pis 100." Three students wrote the following equations. Which is correct?
(i) 10 p = 100
(ii) 10/p = 100
(iii) l0/p = 100
(A) (i) only
(B) (ii) only
(C) (iii) only
(D) Both (B) and (C).
Answer : A

Question. On transposing terms from one side of the equation to the other, which of these changes takes place ?
(A) Addition becomes subtraction.
(B) Multiplication becomes addition.
(C) Addition becomes multiplication.
(D) Multiplication becomes subtraction.
Answer : A

Question. M = 2x+5/7 and 3x-2/4. What value of x makes M = N?
(A) - 17/3
(B) -34/13
(C) 34/13
(D) 17/3
Answer : C

Question. Given A= P(1 + rt), what is the value of 'r' when A = 27, P = 18 and t = 5?
(A) 1/2
(B) 1/5
(C) 27/5
(D) 1/10
Answer : D

Question. Given -u +v- = -f, find the value of 'v' when f = 20 and u = 30.
(A) -20
(B) -60
(C) 60
(D) -30
Answer : C

Question. The sum of three consecutive integers is 75. Which is the largest among them?
(A) 26
(B) 25
(C) 24
(D) 23
Answer : A

Question. The lengths of the sides of a triangle are (2a + 1) em, (3a + 2) em and (4a -1) em.
For what value of 'a' is the perimeter of the triangle 92 em?
(A) 5
(B) 9
(C) 8
(D) 10
Answer : D

Question. A father is 26 years older than his son. In 3 years' time, the son's age will be onethird his father's age. What is the present age of the son?
(A) 10 years
(C) 39 years
(B) 13 years
(D) 29 years
Answer : A

Question. Pankaj has 96 marbles and Arun has 63 marbles. How many marbles should Arun give Pankaj so that Pankaj will have twice as many marbles as Arun?
(A) 9
(B) 12
(C) 7
(D) 10
Answer : D

Q.1. Fill in the blanks:

(i) Any value of the variable which makes both sides of an equation equal, is known as a _________ of the equation.

(ii) If x-5=10, then x=__________.

(iii) The solution of the equation m/11=-8 is __________.

(iv) If x is the solution of the equation 4x=12, then the value of 3x-9=________.

(v) If x/6-2=3, then x=_________.

Q.2. Answer True(T) or False(F)

(i) p=3 is a solution of the equation 4p-3=13.

(ii) The equation representing the statement “15 less than three times a number gives 3” is 15- 3x=3.

(iii) If x-1=9 & 3y=9, then y/x = 3.

(iv) If 4x-9=11+2x, then x=1.

(v) x-6=-6 has a solution in natural numbers.

Multiple Choice Questions (MCQs)

Q3. If 9x+4=31, then equals
a) 36/7
b) 124/9
c) 3
d) -3

Q4. The value of p for which the expressions p-15=13-6p is
a) 2/6
b) 4
c) -2/7
d) -4

Q5. If x/-2 = 1, then find the sum of the values of 3x+4 & x+5
a) 0
b) 12
c) 17
d) 1

Q6. If 6.2a = 0.0124, then a equals

a) 0.2 b) 20 c) 0.002 d) 0.02

Q7. The equation having the root -5 is
a) 5t - 15 = 10
b) a/6 + 3 = 2
c) 3(n+2) = 21
d) 7x-18=x+12

Solve the following:

Q8. If the sum of two consecutive numbers is -27. Find the numbers.

Q9 Solve the equation 2(x+3)-3x=8-2(2x-5).

High Order Thinking Skills (HOTS)

Q10. The amount of petrol in a tank is twice of that in another tank. If we draw out 25 litres from first & add it the other, the amount of petrol in both the tanks will be the same. Find the amount of petrol in each tank now.