Moderate Level Worksheet Questions
Part A: Very Short Answer Questions (1 Mark Each)
Note: Answer each question with steps and explanation. Write down the answers on sheet and submit to the school subject teacher.
Simple equations are the foundation of algebra. They help us translate word problems into mathematical language and find unknown values.
First, let's practice translating words into algebraic expressions and solving basic equations.
1. Write the expression: "5 more than twice a number x".
Awesome! '5 more than twice x' is written as 2x + 5.
2. Solve: x + 7 = 12 Answer: x =
Great job! x = 5 makes the equation true.
3. What should be subtracted from x to get 9? Write the equation.
That’s it! Subtracting 9 from x gives 9.
4. Solve: 3x = 21 Answer: x =
Correct! x = 7 solves the equation.
5. If 4 subtracted from a number gives 6, form the equation. Equation:
Nicely done! That’s the correct equation.
6. What is the solution of the equation x – 2 = –4? Answer: x =
That’s it! x = –2 is the right answer.
7. What is the value of x if
Excellent! x = 15 satisfies the equation.
8. Find the number: 3 less than the number is equal to 9. Number:
Perfect! The number is 12.
9. Solve: 2x – 1 = 7 Answer: x =
You nailed it! x = 4 is the correct solution.
10. If 2x + 5 = 17, what is the value of x? Answer: x =
Perfect! x = 6 solves the equation perfectly.
Drag each statement to its correct mathematical category:
Part B: Short Answer Questions (2 Marks Each)
1. Solve and verify: 4x – 5 = 3
The value of x =
Great! x = 2 is the solution.
2. Form an equation: "One-fourth of a number is 5". Solve it.
The equation is:
Answer: x =
Excellent! The number is 20.
3. If 3 times a number is 18, what is the number? Also form the equation.
The equation is:
The number =
Perfect! The number is 6.
4. A number increased by 7 is equal to 20. Find the number.
The equation is:
The number =
Well done! The number is 13.
5. The sum of three times a number and 11 is 32. Find the number.
The equation is:
The number =
Awesome! The number is 7.
Part C: Long Answer Questions (4 Marks Each)
1. Ravi thinks of a number. When he doubles it and adds 5, he gets 17.
(a) Write an equation for this situation:
Perfect! The equation is 2x + 5 = 17.
(b) Find the number: x =
Excellent! The number is 6.
(c) If he subtracts 3 from this number and doubles the result, then the number is:
Great work! The final result is 6.
2. Solve the following equations and verify your answers:
(a)
Super! x = 7 is the solution.
(b) 2x – 3 = x + 5 Answer: x =
Brilliant! x = 8 is the solution.
3. A man's age is 4 times his son's age. After 5 years, the sum of their ages will be 65. Find their present age.
Let son's present age = x. Then the man's present age =
After 5 years, son's age =
After 5 years, man's age =
Sum of their ages after 5 years (given) =
So the equation is: (x + 5) + (4x + 5) =
Simplifying: x =
Therefore, Son's present age =
Man's present age =
Excellent! Son is 11 years old and man is 44 years old.
4. The sum of two consecutive odd numbers is 56. Find the numbers.
Let the first odd number = x. Then the next consecutive odd number =
Sum =
So the equation is: x + (x + 2) =
Simplifying: x =
The two numbers are
Perfect! The two numbers are 27 and 29.
Test your understanding with these multiple choice questions:
5. The number which satisfies x + 6 = 10 is:
(a) 2 (b) 4 (c) 6 (d) 10
Fantastic! x = 4 satisfies the equation.
7. Which of the following is not a linear equation?
(a) x + 2 = 6 (b) 2x = 10 (c)
Perfect!
8. Equation representing "Four times a number is 28" is:
(a) 4 + x = 28 (b) x – 4 = 28 (c) 4x = 28 (d)
Excellent! 4x = 28 represents "four times a number is 28".
9. If 2x + 3 = 11, then x =
(a) 5 (b) 6 (c) 4 (d) 7
Amazing! x = 4 is the solution.
10. The solution of x + x = 12 is:
(a) 12 (b) 24 (c) 6 (d) 0
Brilliant! x = 6 since 2x = 12 means x = 6.