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
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 2
Sum of three times a square number and two times a square number is 3125. Find the number.
A. 35
B. 25
C. 15
D. 45
Question 3
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 4
A 70 m long log is cut into three pieces.
Second piece is 10 more than first piece.
Third piece is 10 less than second piece.
What is measurement of each log?
A. 20,30,20
B. 10,60,10
C. 15,15,40
D. 20,40,10
Question 5
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