Which of the following is a linear expression:
(a) x² + 1
(b) y + y²
(c) 4
(d) 1 + z
Solution:
We have to choose a linear expression from the given options.
A linear equation is a type of equation in which the degree of each variable in the equation is exactly equal to one.
Linear equations in one variable are those equations in which there is only one variable present, and there is only one solution of the equation.
(i) Considering the expression x² + 1
x² = -1
The degree of the expression is 2
Therefore, x² + 1 is not a linear expression.
(ii) Considering the expression y + y²
y² = -y
The degree of the equation is 2.
Therefore, y + y² is not a linear expression.
(iii) Considering 4
It has only constant terms and no variables.
Therefore, 4 is not a linear expression.
(iv) Considering 1 + z
z = -1
The degree of the equation is 1.
Therefore, 1 + z is a linear expression.
✦ Try This: Which of the following is a linear expression: (a) x² + 3, (b) 2y + y², (c) 5, (d) 1 + x
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2
NCERT Exemplar Class 8 Maths Chapter 4 Problem 9
Which of the following is a linear expression: (a) x² + 1, (b) y + y², (c) 4, (d) 1 + z
Summary:
1 + z is a linear expression.
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