Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Worksheet: Linear Equations in One Variable
Linear Equations in One Variable Class 8 Worksheet Maths Chapter 2
Multiple Choice Questions
Q1: Tell which of the following is a linear equation in one variable:
(a) x 2 − 4x + 3 = 0
(b) 6x − 2y = 7
(c) 3x − 1 = −2x
(d) pq − 3 = p
Q2: 3 added to a number is 11. Which equation represents this statement?
(a) 3x=11
(b) x+3=11
(c) x−3=11
(d) 3+x=0
Q3: 2 times the sum of the number x and 7 is 13. Which equation represents this statement?
(a) 2x+7=13
(b) 2(x+7)=13
(c) (2x)+7=13
(d) 2x+2=13
Q4: The value of x is :
3(4x−7)−2(5x−9) = 4(3x−8)−10
(a) x = 39/10
(b) x = 42/10
(c) x = −1
(d) x = 25/5
Q5: Check whether the linear equation 4x − 3 = 9 is true for x = 3.
(a) Yes
(b) No
(c) Cannot be determined
(d) None of these
True and False statement
Q1: An equation can have linear expressions on both sides of the equality sign.
Q2: Variables cannot be moved from one side of an equation to the other.
Q3: An algebraic equation is an equality that involves only numbers.
Q4: The shifting of one number from one side of linear equation to another side is called transposition
Q5: In linear equations, the highest power of the variable is 2.
Answer the following Questions
Q1: Check whether the linear equation 3x + 5 = 11 is true for x = 2.
Q2: Solve the following linear equations:
(a) 4x + 5 = 9
(b) x + 3/2 = 2x
Q3: Solve the equation :
Q4: Solve the equation :
Q5: Solve the equation :
Q6: Simplify - 9x + 5 = 4(x – 2)+ 8
Q7: Simplify the following
Q8: Solve the following : 
Q9: Simplify the following :
Q10: Simplify the following :
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FAQs on Linear Equations in One Variable Class 8 Worksheet Maths Chapter 2
| 1. What is a linear equation in one variable? |  |
Ans. A linear equation in one variable is an equation that can be written in the form ax + b = 0, where 'a' and 'b' are constants and 'x' is the variable. The highest power of the variable is 1.
| 2. How do you solve a linear equation in one variable? | |
Ans. To solve a linear equation in one variable, you isolate the variable on one side of the equation. This usually involves performing operations such as addition, subtraction, multiplication, or division to both sides of the equation until the variable is alone.
| 3. What are some common mistakes made when solving linear equations? | |
Ans. Common mistakes include forgetting to apply the same operation to both sides of the equation, miscalculating during arithmetic operations, and incorrectly interpreting the signs of numbers.
| 4. Can linear equations have no solution or infinitely many solutions? | |
Ans. Yes, a linear equation can have no solution (when the lines are parallel) or infinitely many solutions (when the lines overlap). This typically depends on the coefficients of the variables in the equation.
| 5. What is the importance of linear equations in real life? | |
Ans. Linear equations are important in real life as they can model relationships between quantities, such as budgeting, calculating distances, or predicting outcomes in various fields like economics, science, and engineering.
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