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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

MEAP Preparation - Grade 7 Mathematics
2.92 Linear and Non-Linear Equations

Linear Equations
An equation in which the highest index of the variables present is one, is called a "linear equation".
An equation with one variable and of first order (i.e., its highest power is one) is called a Linear equation. It has only one solution and is also called the 'root' of the given equation.

  • Linear Equations with One Variable:
    x + 8 = 10
    6x - 3 = 2x + 9
    6x - 3 = 2x + 9 can be simplified as 4x = 12

  • Linear Equations with Two Variables:
    x + y = 20
    In above example, there are two variables x and y, but the exponents of the variables are only one. Therefore, the equation x+y=20 is a linear equation in two variables. a + 4by = 15

  • Linear Equations with Three Variable :
    x + y + z = 67
    2a + 5b + 3c = 34

Non-linear Equations
Equations that have indexes are higher than 1 are called non-linear equations.
63 - 7x - 3 = 0
x4 - 5x2 = 5

Directions: Identify the type of equation given in each question. Also write at least 5 examples of linear and non-linear equations.
Q 1: 7x + 10 = 27x - 30
One Variable Linear Equation
Two Variable Linear Equation
Non-linear Equation

Question 2: This question is available to subscribers only!

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