Class 7 Maths Simple Equations Worksheet — Free Printable PDF
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⭐ MeritMate — Class 7 Maths: Simple Equations
Curriculum-Aware · meritmate.inSection A: Multiple Choice Questions
Q1. Which of the following is a simple equation?
a) x + y = 10
b) 2x + 3 = 11
c) x² + 5 = 14
d) xy + 3 = 7
Q2. The solution of the equation 3x + 5 = 20 is:
a) x = 3
b) x = 4
c) x = 5
d) x = 6
Q3. If 2y - 6 = 10, then the value of y is:
a) 2
b) 6
c) 8
d) 10
Q4. Which equation represents the statement "7 added to twice a number gives 21"?
a) 7x + 2 = 21
b) 2x - 7 = 21
c) 2x + 7 = 21
d) 7 - 2x = 21
Q5. The value of x in the equation x/4 + 3 = 7 is:
a) 8
b) 12
c) 16
d) 20
Section B: Fill in the Blanks
Q6. An equation in which the highest power of the variable is 1 is called a ________.
Q7. If 5x = 35, then x = ________.
Q8. The process of finding the value of a variable that satisfies the equation is called ________.
Q9. If 3m + 7 = 22, then the value of m is ________.
Q10. Transposing +9 from one side of an equation to the other side changes it to ________.
Section C: Short Answer Questions
Q11. Solve the equation 4x - 3 = 13 and verify your answer.
Q12. Write the following statement as an equation and solve it: "A number divided by 3 and then increased by 4 gives 9."
Q13. Solve: 2(x + 5) = 18
Q14. The sum of two consecutive integers is 47. Set up an equation and find the integers.
Q15. Ravi has some marbles. He gives 12 marbles to his friend and is left with 25 marbles. Set up an equation and find how many marbles Ravi had originally.
⭐ Answer Key
Class 7 · Maths · Simple EquationsAnswer Key
Q1. Answer: b) 2x + 3 = 11
A simple equation has only one variable with highest power 1, and no multiplication of variables together.
Q2. Answer: c) x = 5
3x + 5 = 20, so 3x = 15, therefore x = 5.
Q3. Answer: c) 8
2y - 6 = 10, so 2y = 16, therefore y = 8.
Q4. Answer: c) 2x + 7 = 21
Twice a number is 2x, and 7 added to it gives 2x + 7 = 21.
Q5. Answer: c) 16
x/4 + 3 = 7, so x/4 = 4, therefore x = 16.
Q6. Answer: linear equation in one variable
Q7. Answer: 7
5x = 35, so x = 35/5 = 7.
Q8. Answer: solving the equation
Q9. Answer: 5
3m + 7 = 22, so 3m = 15, therefore m = 5.
Q10. Answer: -9
Q11. Answer:
4x - 3 = 13
4x = 13 + 3
4x = 16
x = 4
Verification: LHS = 4(4) - 3 = 16 - 3 = 13 = RHS. Hence verified.
Q12. Answer:
Let the number be n.
Equation: n/3 + 4 = 9
n/3 = 5
n = 15
The number is 15.
Q13. Answer:
2(x + 5) = 18
x + 5 = 9
x = 4
Q14. Answer:
Let the first integer be n, so the next consecutive integer is n + 1.
Equation: n + (n + 1) = 47
2n + 1 = 47
2n = 46
n = 23
The two consecutive integers are 23 and 24.
Q15. Answer:
Let the original number of marbles be x.
Equation: x - 12 = 25
x = 25 + 12
x = 37
Ravi originally had 37 marbles.
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