Class 8 Exam > Class 8 Notes > Mathematics (Maths) Class 8 > Worksheet Questions: Linear Equations in One Variable
Class 8 Maths - Linear Equations in One Variable CBSE Worksheets
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
Sol:
Q3: Solve the equation :
Q4: Solve the equation :
Q5: Solve the equation :
Q6: Simplify the following : 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 Class 8 Maths - Linear Equations in One Variable CBSE Worksheets
| 1. What are linear equations in one variable? |  |
| 2. How do you solve a linear equation in one variable? | |
Ans.To solve a linear equation in one variable, you need to isolate the variable on one side of the equation. This involves performing inverse operations to both sides of the equation until the variable is by itself. For example, in the equation \( 3x + 5 = 11 \), you would subtract 5 from both sides and then divide by 3 to find \( x \).
| 3. What are some examples of linear equations in one variable? | |
Ans.Some examples of linear equations in one variable include:
1. \( 2x + 4 = 10 \)
2. \( -3x = 9 \)
3. \( 5 - x = 2 \).
Each of these equations can be solved to find the value of \( x \).
| 4. What is the significance of the slope in linear equations? | |
Ans.In the context of linear equations, the slope represents the rate of change of the variable. In a standard linear equation in two variables \( y = mx + b \), \( m \) is the slope, indicating how much \( y \) changes for a unit change in \( x \). However, in one-variable equations, the concept of slope is less applicable since there's only one variable involved.
| 5. Can a linear equation in one variable have no solution? | |
Ans.Yes, a linear equation in one variable can have no solution if it results in a contradiction. For example, the equation \( 2x + 4 = 2x + 5 \) simplifies to \( 4 = 5 \), which is not possible. This indicates that there are no values of \( x \) that satisfy the equation.
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