One-step Linear Equations (Addition/Subtraction)
j + 12 = 14
What is j?
j = 2
Steps:
j + 12 - 12 = 14 - 12
j = 2
5j = 125
What is j?
j = 25
Steps:
5j /5 = 125 /5
j = 25
5c = 22 + 3
What is c?
c = 5
Steps:
5c = 25
5c / 5 = 25/5
c = 5
17 = d - 9
What is d?
d = 26
Steps:
17 + 9 = d - 9 + 9
26 = d
9 = m/6
What is m?
m = 54
Steps:
9 x 6 = m/6 x 6
54 = m
4 + 9g = 22
What is g?
g = 2
Steps:
4 - 4 + 9g = 22 - 4
9g = 18;
9g/9 = 18/9
g = 2
15 - y = 5
What is y?
y = 10
Steps:
15 - y + y = 5 + y
15 = 5 + y;
15 - 5 = 5 - 5 + y
10 = y
x/2 = 0
What is x?
x = 0
Steps:
x/2 x 2 = 0 x 2
x = 0
29 = 12n + 5
What is n?
n = 2
Steps:
29 - 5 = 12n + 5 - 5
24 = 12n;
24/12 = 12n/12
2 = n
Is x = 5 a solution to the equation:
37 = 42 - x ?
(Show your solution)
Yes. x = 5 is a solution.
Steps:
37 + x = 42 - x + x
37 + x = 42;
37 - 37 + x = 42 - 37
x = 5
Is x = 3 a solution to the equation:
32x = 96 ?
(Show your solution)
Yes! x = 3 is a solution.
Steps:
32x / 32 = 96 / 32
x = 3
Is x = 3 a solution to the equation:
14 = 4n - 2 ?
(Show your solution)
No! It x=3 is not a solution.
Steps:
14 + 2 = 4n - 2 + 2
16 = 4n;
16/4 = 4n/4
4 = n
The sum of a 3 and a number is 11. What is the number?
The number is 8!
Steps:
3 + n = 11;
3 - 3 + n = 11 - 3
n = 8
One-quarter of a number equals 8. What is the number?
The number is 32!
Steps:
n/4 = 8;
n/4 x 4 = 8 x 4
n = 32
2 subtracted from 6 times a number is 16. What is the number?
The number is 3!
Steps:
6t - 2 = 16;
6t - 2 + 2 = 16 + 2
6t = 18;
6t/6 = 18/6
t = 3