Table of Contents
Simple Equations for Class 7 Worksheet with Answers PDF
Simple equations chapter 4 play a fundamental role in the Class 7 mathematics syllabus, serving as an initial introduction to algebra. These equations involve an unknown variable, often represented by letters like x, y, or z, equated with a numerical value or another expression. The main objective when solving simple equations is to find the value of the unknown variable that makes the equation true.
In the context of Class 7, simple equations are typically introduced using relatable examples, such as comparing quantities or balancing scales. For example, if the sum of a number and its triple is 40, this can be expressed as the equation x + 3x = 40, where x represents the number.
To reinforce the concepts taught in class and provide ample practice, worksheets focusing on “Simple Equations for Class 7” are widely utilized and aligned wit CBSE syllabus. These Simple Equations for Class 7 Worksheet cover a variety of problems, ranging from basic equations to more complex ones involving multiple steps. They serve as a valuable tool for students to practice solving equations, apply their knowledge to word problems, and build confidence in their algebraic skills.
For instance, these Simple Equations for Class 7 Worksheet may include the following types of problems:
- Solve the equation: 5x – 7 = 18
- Determine the value of x in the equation: 2(x – 3) = 14
- If four times a number minus 5 is 19, what is the number?
- Solve for y: 3y + 9 = 27
- A number decreased by its half equals 12. Find the number.
Simple Equations for Class 7 Worksheet with Answers
Here are some worksheet on simple equations for Class 7 students, along with the answers:
Simple Equations for Class 7 Worksheet 1
1. ‘Eight times m plus 3 gives 85’ is written in equation form as:
- 3m + 8 = 85
- m + 24 = 85
- 8(m + 3) = 85
- 8m + 3 = 85
2. In an equation, the value of the following is not fixed:
- Variable
- Constant
- Term
- None of these
3. Leena is two years younger than Meena. If Meena is x years old, then the age of Leena is:
- x + 2
- x – 2
- 2x
- x²
4. The value of a variable that satisfies an equation is called its:
- Solution
- Expression
- Inequality
- Error
5. The solution of the equation 8p = 40 is:
- 8
- 40
- 5
- 32
6. The statement form of the equation n³ + 3 = 8 is:
- 3 added to a number is 8
- The sum of a number and 8 divided by 3 gives 8
- One third of the sum of a number and 3 gives 8
- One third of a number added to 3 gives 8
7. y = 7 is a solution of the equation:
- y + 2 = 5
- 7y = 14
- y – 6 = 1
- y² = 7
8. The solution of the equation 3x – 8 = 7 is:
- 15
- 5
- 1
- 1/3
9. Shifting one term from one side of an equation to another side with a change of sign is known as:
- Commutativity
- Transposition
- Distributivity
- Associativity
The equation having 5 as a solution is:
- 4x + 1 = 2
- 3 – x = 8
- x – 5 = 3
- 3 + x = 8
Simple Equations for Class 7 Worksheet 1 Answers
- D) 8m + 3 = 85
- A) Variable
- B) x – 2
- A) Solution
- C) 5
- A) 3 added to a number is 8
- C) y – 6 = 1
- B) 5
- B) Transposition
- D) 3 + x = 8
- Chapter 1 Integers
- Chapter 2 Fractions and Decimals
- Chapter 3 Data Handling
- Chapter 4 Simple Equations
- Chapter 5 Lines and Angles
- Chapter 6 The Triangles and Its Properties
- Chapter 7 Congruence of Triangles
- Chapter 8 Comparing Quantities
- Chapter 9 Rational Numbers
- Chapter 10 Practical Geometry
- Chapter 11 Perimeter and Area
- Chapter 12 Algebraic Expressions
- Chapter 13 Exponents and Powers
- Chapter 14 Symmetry
- Chapter 15 Visualizing Solid Shapes
Simple Equations for Class 7 Worksheet 2
1. Make equations for the given statements:
- 4 less from thrice a number m is 14.
- A number x divided by 4 gives 3.
- 7 less than a number x is 4.
- Four-fifths of a number is greater than three-fourths of the number by 4.
- x exceeds 3 by 7.
2. 18 is taken away from 8 times a number is 30. Find the number.
3. The denominator of a fraction exceeds the numerator by 5. If 3 is added to both, the fraction becomes 3/4. Find the fraction.
4. If thrice A’s age 6 years ago is subtracted from twice his present age, the result would be equal to his present age. Find A’s present age.
5. The fourth part of a number exceeds the sixth part by 4. Find the number.
6. The length of a rectangle is three times its width. If the perimeter of the rectangle is 96m, find the length and breadth of the rectangle.
7. If a number is tripled and the result is increased by 5, we get 50. Find the number.
8. In a class of 60 students, the number of girls is one-third the number of boys. Find the number of girls and boys in the class.
9. If one side of a square is represented by 18x – 20 and the adjacent side is represented by 42 – 13x, find the length of the side of the square.
10. In a triangle, the second angle is 5° more than the first angle. And the third angle is three times the first angle. Find the three angles of the triangle.
Simple Equations for Class 7 Worksheet 2 Answers
1. Equations for the given statements:
- 3m – 4 = 14
- x/4 = 3
- x – 7 = 4
- (4/5)x = (3/4)x + 4
- x = 3 + 7
2. Let the number be x. The equation is 8x – 18 = 30. Solving for x, we get x = 6.
3. Let the numerator be x and the denominator be x + 5. The equation is (x + 3) / (x + 5 + 3) = 3/4. Solving for x, we get x = 9. Therefore, the fraction is 9/14.
4. Let A’s present age be x. The equation is 2x – 3(x – 6) = x. Solving for x, we get x = 18. Therefore, A’s present age is 18 years.
5. Let the number be x. The equation is x/4 – x/6 = 4. Solving for x, we get x = 24.
6. Let the width be x meters. Then, the length is 3x meters. The perimeter equation is 2(x + 3x) = 96. Solving for x, we get x = 16. Therefore, the length is 48 meters and the breadth is 16 meters.
7. Let the number be x. The equation is 3x + 5 = 50. Solving for x, we get x = 15.
8. Let the number of boys be x. Then, the number of girls is x/3. The equation is x + x/3 = 60. Solving for x, we get x = 45. Therefore, there are 45 boys and 15 girls in the class.
9. The equation is 18x – 20 = 42 – 13x. Solving for x, we get x = 4. Therefore, the length of the side of the square is 18(4) – 20 = 52.
10. Let the first angle be x degrees. Then, the second angle is x + 5 degrees, and the third angle is 3x degrees. The equation is x + x + 5 + 3x = 180. Solving for x, we get x = 35. Therefore, the three angles of the triangle are 35°, 40°, and 105°.
- Worksheets for Class 7 Maths
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- Worksheets for Class 7 GK
Simple Equations for Class 7 Worksheet 3
Simple Equations for Class 7 Worksheet mcq
1. What is the value of x in the equation 3x + 5 = 20?
- 5
- 15
- 10
- 20
Answer: A) 5
2. If 4x – 3 = 13, what is the value of x?
- 2
- 3
- 4
- 5
Answer: C) 4
3. Solve the equation: 2(x – 3) = 10. What is x?
- 8
- 7
- 6
- 5
Answer: A) 8
4. Which equation represents “5 more than twice a number x is 15”?
- 2x + 5 = 15
- 5x + 2 = 15
- 2x – 5 = 15
- x + 5 = 15
Answer: A) 2x + 5 = 15
5. The solution to the equation 7x – 14 = 0 is:
- 0
- 1
- 2
- 3
Answer: C) 2
6. If x/4 = 3, what is the value of x?
- 12
- 7
- 9
- 6
Answer: A) 12
7. Which of the following equations has a solution of x = 3?
- 3x + 9 = 18
- 4x – 12 = 0
- x + 5 = 8
- All of the above
Answer: D) All of the above
8. What is the solution to the equation 5(x – 2) = 15?
- 2
- 3
- 5
- 7
Answer: C) 5
9. The equation representing “The sum of a number x and 7 is 10” is:
- x + 7 = 10
- x – 7 = 10
- 7x = 10
- x/7 = 10
Answer: A) x + 7 = 10
10. If the equation 4x – 5 = 11 is true, what is the value of x?
- 2
- 3
- 4
- 5
Answer: C) 4
Importance of Simple Equations for Class 7 Worksheet
Simple equations are a fundamental aspect of algebra and play a crucial role in the mathematics curriculum for Class 7. Worksheets focused on simple equations are particularly important for several reasons:
- Foundation for Advanced Mathematics: Understanding simple equations is essential for grasping more complex mathematical concepts in higher grades. Worksheets help reinforce these foundational skills.
- Problem-Solving Skills: Working with simple equations enhances students’ problem-solving abilities. By practicing different types of equations, students learn to apply logical thinking and analytical skills to find solutions.
- Real-Life Applications: Simple equations are used in various real-life situations, such as budgeting, planning, and decision-making. Worksheets can include practical problems that demonstrate the relevance of algebra in everyday life.
- Confidence Building: Regular practice with worksheets helps students become more confident in their ability to solve equations. This confidence can translate to better performance in tests and exams.
- Customized Learning: Worksheets can be tailored to suit the learning needs of individual students. They can include a mix of easy, medium, and challenging problems to cater to different skill levels.
- Immediate Feedback: Worksheets often come with answers, allowing students to check their work immediately. This instant feedback helps students learn from their mistakes and understand the correct approach to solving equations.
- Preparation for Higher Studies: Mastery of simple equations is crucial for students who plan to pursue science, technology, engineering, or mathematics (STEM) fields in higher education. Worksheets provide a solid groundwork for future studies.
Other Study Resources for Class 7 | |
NCERT Solutions for Class 7 | Worksheets for Class 7 |
NCERT Textbooks for Class 7 | NCERT Exemplar Solutions Class 7 |
FAQs on Simple Equations for Class 7 Worksheet
What types of problems are included in a Class 7 simple equations worksheet?
A Class 7 simple equations worksheet typically includes problems such as solving for the unknown variable, translating word problems into equations, and applying the concepts of simple equations to real-life scenarios.
How can students benefit from using a simple equations worksheet?
Students can benefit from using a simple equations worksheet by getting ample practice in solving equations, which reinforces their understanding of algebraic concepts. It also helps them identify areas where they need further clarification or improvement.
Are there any tips for solving simple equations in Class 7?
Some tips for solving simple equations in Class 7 include: Read the equation carefully and understand what is being asked. Perform the same mathematical operations on both sides of the equation to isolate the variable. Check your solution by substituting the value of the variable back into the original equation. Practice regularly with worksheets to become more comfortable with different types of equations.
What is a simple equation for Class 7th?
A simple equation for Class 7th is a mathematical statement that shows equality between two expressions, often involving a variable, like 2x + 5 = 15.
What are examples of simple equations?
Examples of simple equations include 3x - 7 = 11, 2y + 4 = 12, and 5z = 25. Each equation involves a variable and constants.