Learn Class 7 Math - Simple Linear Equations

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The term simple linear equation refers to the expression that includes the different sets like variable, constant, and operations.

These operations include multiplication, addition, and other terms. The term variable consists of the symbols not present in the fixed values. Example: 2x + 5, in this x is known as the variable.

At the same time, the equation refers to some conditions that apply to variables. It is assumed that the two expressions are always equal.

Several methods are present that will help us get the answer to the equation. One among them is the transposing method.

Things to know about equation

  • The equation refers to the variable that always expresses the expressions.
  • The LHS of the given equation must be equal to RHS.
  • In the equation, we will see the equal signs.
  • It does not affect if we change the LHS or RHS of an equation.

Example

  1. x + 10 = 25

    Now, we have to subtract 10 from each side, i.e., x + 10 - 10 = 25 - 10; x = 15.

    In the equation, we will see that x = 15.

  2. 4y = 16

    We have to divide with 4 from both sides in the given equation.

    After division we will see that 4y/4 = 16/4,i.e., y = 4

Simple Linear Equations Sample Questions for Class 7

Question 1

Solve : 2(y + 2) - 3(y -3) + 5(y +5) = 0
A. -13/2
B. 11/4
C. 9
D. -19/2

Question 2

If 1/2 z + 4/5 = 1/5z - 2 , then z = ?
A. -14/5
B. 23/7
C. -28/3
D. 13/7

Question 3

Raghu thinks of a fraction where numerator 2 less than denominator. If numerator and denominator is increased by 4 , then new fraction is 3/4. What is the original fraction?
A. 3/5
B. 2/4
C. 7/9
D. 1/2

Question 4

The angles of a triangle are in ratio 2 : 3 : 4. What is the measure of the smallest angle?
A. 50
B. 30
C. 40
D. 20

Question 5

The sum of digits of two digit number is 6. If the digits are interchanged the new number so formed is 18 more than original number . What is the original number?
A. 33
B. 24
C. 15
D. 42