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Practice Class 7 Maths Chapter 4 Simple Equations MCQ Questions with Answers and Solutions based on the NCERT syllabus. Solve fresh and exam-oriented MCQs on equations, variables, constants, solving simple equations, and verification.
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Chapter Information
Subject: Mathematics
Class: 7
Chapter: Simple Equations
Question Type: Multiple Choice Questions (MCQs)
Practice Set: 1
Difficulty Level: Easy to Moderate
Based On: NCERT Syllabus
Introduction
A simple equation is a mathematical statement in which two expressions are equal and one or more variables are involved.
For example:
$$x+5=12$$
Here, $x$ is the variable. The value of $x$ that makes the equation true is called the solution of the equation.
To solve a simple equation, we perform suitable mathematical operations on both sides while maintaining equality.
In this Class 7 Maths Chapter 4 Simple Equations Practice Set 1, students will practise basic concepts such as variables, constants, equations, finding unknown values, and verifying solutions.
What You Will Learn
✔ Identifying variables and constants
✔ Understanding simple equations
✔ Finding the value of an unknown variable
✔ Solving equations using basic operations
✔ Checking whether a given value satisfies an equation
✔ Applying equations to simple mathematical situations
Why This Topic Is Important
Simple equations form an important foundation for algebra. They help students represent unknown quantities mathematically and solve problems systematically.
The concepts learned in this chapter are useful for solving word problems and understanding more advanced algebraic equations in higher classes.
Exam Relevance
These questions are useful for:
✔ CBSE School Exams
✔ State Board Exams
✔ Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ NCERT-Based Practice
✔ Mathematics Revision
Q1. Which of the following is a simple equation?
A) $5+7$
B) $3x+2$
C) $x+6=14$
D) $8>5$
Answer:
C) $x+6=14$
Useful Concept
An equation is a mathematical statement containing an equal sign ($=$). A simple equation generally contains an unknown variable whose value has to be found.
Solution
Consider the options:
- $5+7$ is an expression.
- $3x+2$ is an algebraic expression.
- $x+6=14$ contains an equal sign and an unknown variable $x$.
- $8>5$ is an inequality.
Therefore, the simple equation is:
$$x+6=14$$
Hence, the correct answer is:
C) $x+6=14$
Q2. Find the value of $x$:
$$x+9=17$$
A) $6$
B) $7$
C) $8$
D) $9$
Answer:
C) $8$
Useful Concept
To find an unknown added to a number, subtract that number from both sides of the equation.
Solution
Given:
$$x+9=17$$
Subtract $9$ from both sides:
$$x+9-9=17-9$$
Therefore:
$$x=8$$
We can verify:
$$8+9=17$$
$$17=17$$
So the solution is correct.
Hence, the correct answer is:
C) $8$
Q3. If
$$5x=35,$$
then the value of $x$ is:
A) $5$
B) $6$
C) $7$
D) $8$
Answer:
C) $7$
Useful Concept
When a variable is multiplied by a number, we divide both sides by that number to find the variable.
Solution
Given:
$$5x=35$$
Divide both sides by $5$:
$$\frac{5x}{5}=\frac{35}{5}$$
Therefore:
$$x=7$$
Verification
Substitute $x=7$:
$$5(7)=35$$
$$35=35$$
Therefore, the solution is correct.
Hence, the correct answer is:
C) $7$
Q4. Which value of $x$ satisfies the equation
$$x-4=11?$$
A) $7$
B) $12$
C) $15$
D) $17$
Answer:
C) $15$
Useful Concept
If a number is subtracted from the variable, add that number to both sides to find the value of the variable.
Solution
Given:
$$x-4=11$$
Add $4$ to both sides:
$$x-4+4=11+4$$
Therefore:
$$x=15$$
Verification
Substitute $x=15$:
$$15-4=11$$
$$11=11$$
Thus, $x=15$ satisfies the equation.
Hence, the correct answer is:
C) $15$
Q5. The sum of a number and $12$ is $25$. Which equation represents this statement?
A) $x-12=25$
B) $x+12=25$
C) $12x=25$
D) $x+25=12$
Answer:
B) $x+12=25$
Useful Concept
The word sum indicates addition. If the unknown number is represented by $x$, then the sum of the number and $12$ is represented by:
$$x+12$$
Solution
Let the unknown number be:
$$x$$
According to the question:
The sum of a number and $12$ is $25$.
Therefore:
$$x+12=25$$
Hence, the equation representing the statement is:
$$x+12=25$$
The correct answer is:
B) $x+12=25$
If we solve the equation:
$$x+12=25$$
Subtracting $12$ from both sides:
$$x=13$$
Verification:
$$13+12=25$$
Therefore, the equation is correct.
Important Formulas & Concepts
1. Equation
An equation is a mathematical statement in which two expressions are equal.
Example:
$$x+5=12$$
2. Variable
A letter used to represent an unknown quantity is called a variable.
Examples:
$$x,\ y,\ z$$
3. Constant
A fixed numerical value is called a constant.
Examples:
$$5,\ 10,\ 25$$
4. Solving $x+a=b$
If:
$$x+a=b$$
then:
$$x=b-a$$
5. Solving $x-a=b$
If:
$$x-a=b$$
then:
$$x=b+a$$
6. Solving $ax=b$
If:
$$ax=b$$
then:
$$x=\frac{b}{a}$$
where $a\ne0$.
7. Verification
After finding the value of a variable, substitute it back into the original equation.
If both sides become equal, the solution is correct.
Related Practice Questions
Q1. Solve:
$$x+7=19$$
Q2. Find $x$:
$$x-8=14$$
Q3. Solve:
$$4x=28$$
Q4. Check whether $x=9$ satisfies:
$$x+5=14$$
Q5. Write an equation for:
A number increased by $6$ is equal to $20$.
Mini Quiz Challenge
Try answering these questions within 60 seconds.
Q1. Find $x$:
$$x+11=20$$
A) $7$
B) $8$
C) $9$
D) $10$
Q2. Find $x$:
$$x-7=13$$
A) $18$
B) $19$
C) $20$
D) $21$
Q3. If:
$$3x=27,$$
then $x$ is:
A) $6$
B) $7$
C) $8$
D) $9$
Q4. Which equation represents “a number increased by $5$ is $16$”?
A) $x-5=16$
B) $x+5=16$
C) $5x=16$
D) $x+16=5$
Q5. Which value satisfies:
$$x+4=10?$$
A) $4$
B) $5$
C) $6$
D) $7$
Exam Tips
✔ Read the equation carefully before solving.
✔ Remember that an equation must have an equal sign.
✔ Perform the same operation on both sides of an equation.
✔ Be careful with plus and minus signs.
✔ When a variable is multiplied by a number, use division to isolate the variable.
✔ Always verify your final answer by substituting it into the original equation.
✔ In word problems, first identify the unknown quantity and represent it using a variable.
Quick Revision Notes
✔ An equation contains an equal sign.
✔ A variable represents an unknown quantity.
✔ A constant has a fixed value.
✔ For:
$$x+a=b$$
we get:
$$x=b-a$$
✔ For:
$$x-a=b$$
we get:
$$x=b+a$$
✔ For:
$$ax=b$$
we get:
$$x=\frac{b}{a}$$
✔ A solution is the value of the variable that makes the equation true.
✔ Always verify the solution.
Common Mistakes Students Make
❌ Forgetting the equal sign while identifying an equation.
❌ Changing only one side of an equation when performing an operation.
❌ Making mistakes with addition and subtraction.
❌ Dividing incorrectly when finding the value of a variable.
❌ Not checking the answer after solving.
❌ Confusing an algebraic expression with an equation.
Key Takeaways
✔ A simple equation contains an unknown quantity and an equal sign.
✔ Variables are generally represented by letters.
✔ Constants have fixed numerical values.
✔ Equations can be solved using basic arithmetic operations.
✔ The same operation should be performed on both sides to maintain equality.
✔ Verification confirms whether the obtained value is correct.
✔ Simple equations can be used to represent real-life situations.
FAQs
Q. What is a simple equation?
Answer:
A simple equation is a mathematical statement containing an equal sign and an unknown quantity whose value can be determined.
For example:
$$x+5=12$$
Q. What is a variable?
Answer:
A variable is a letter or symbol used to represent an unknown quantity. For example, $x$ can represent an unknown number.
Q. What is a constant?
Answer:
A constant is a fixed numerical value. For example, $5$, $10$, and $20$ are constants.
Q. How do we solve $x+6=15$?
Answer:
Subtract $6$ from both sides:
$$x+6-6=15-6$$
Therefore:
$$x=9$$
Q. Why should we verify the solution?
Answer:
Verification helps us check whether the value obtained actually makes the original equation true.
Conclusion
These Class 7 Maths Chapter 4 Simple Equations MCQ Questions with Answers and Solutions – provide fundamental practice on equations, variables, constants, solving equations, and verification.
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