Learn Class 8 Math - Linear Equations in One Variable

Algebraic Expressions

The algebraic expression contains constants, variables, and operations, such as multiplication, division, and addition.

A variable is an unknown number. They are generally expressed using letters like x, y, n, etc. A constant number is a number without any variables.

When a number follows a variable, it is called its Coefficient. Terms are separated by operators and can be numbers or variables.

Equation

An equation identifies two expressions as having the same value.

Linear Expression

A linear expression has a maximum power of 1 and is a variable function.

Example - 4x + 2, 4y etc.

Linear Equations

Linear equations represent straight lines. But, possibly, two variables have a relationship.

A few things to know about linear equations

  • The linear equation has a sign of equality. In mathematics, the left-hand side (LHS) and right-hand side (RHS) of the equal sign denote the left-hand and right-hand sides.
  • For most equation values, the LHS is equal to the RHS. For some values of the equation, however, this is not true, and these are the values of the solution.

Linear Equations in One Variable Sample Questions for Class 8

Question 1

Shalini has total amount of ₹1000 in denomination of ₹10,₹20 and ₹50. ₹20 notes are 2 times ₹10 notes. ₹50 notes is 3 times sum of ₹10 and ₹20 notes. Find out number of ₹50 notes.
A. 25
B. 12
C. 23
D. 18

Question 2

Reema's age is 4 times age of Rohan. Rohan is 3 years older to Raina. Two years before sum of their ages was 27. How old is Reema?
A. 24 years
B. 35 years
C. 18 years
D. 43 years

Question 3

The distance between two cities is 55 km. Two bikes simultaneously starts from these cities to cross each other. The speed of one bike is 2 km/hr more than the other bike. If the distance between two bikes after 1 hour is 15 km . What is speed of both bikes?
A. 18km/hr,20km/hr
B. 21km/hr,23km/hr
C. 19km/hr , 21 km/hr
D. 16km/hr , 18 km/hr

Question 4

The sum of three consecutive multiple of 9 is 243. Find the numbers.
A. 72,81,90
B. 63,72,81
C. 45,54,63
D. 36,45,54

Question 5

Tickets for a circus were sold at ₹150/adult and ₹75/child. Total amount collected was ₹18750 Number of adults were double the number of children. Find the amount collected by selling adults ticket.
A. ₹13475
B. ₹12200
C. ₹16500
D. ₹15000