Linear Equations and Coordinate System Unit: 07
Ø Algebraic Equation:Two
algebraic expressions form an equation when they are related with each other by
the symbol of equality ‘=’.
Example: x + 13 =
3
Ø Linear equation: In
equation in one variable, where the exponents of the variable is 1, is called
linear equation in one variable.
Example: x ̶ 1=
2x + 3 (variable = x, exponent = 1)
lx + m =
0 (variable = x, exponents = 1)
MCQs
Which equation is not
equivalent to
b – 15 = 32?
a) b + 5 = 52
b) b – 20 =27
c) b – 13 = 30
d) b = 47
What is the solution of x–167 = –52?
a) 115
b) 219
c) – 115
d) – 219
Solution:x–167 = –52̶ x = –52̶ + 167
Solve 8x – 3 = 5 (2x + 1).
a) 4
b) 2
c) – 2
d) – 4
Which of the following equations has the same
solution as 8 (x+2) 12?
a) 8x + 2 =12
b) x + 6 = 4
c) 8x = 10
d) 2x + 4 = 3
Solution:8 (x+2) 12 = 96x + 192
96x = - 192 x= -192/96 x= -2
x+6 = 4 x= 4 – 6= -2
