SOLVING 1 & 2 STEPS EQUATIONS + VOCAB
Define: coefficient
a numerical factor of a term that contains a variable
8a = 5a + 21
21 = 8a - 5a
21 = 3a
a = 21 ÷ 3
a = 7
Five more than twice a number is 7
2x + 5 = 7
2x = 7 - 5
2x = 2
x = 2
x = 1
5 ( a - 7 ) = 25
5a - 35 = 25
5a = 25 + 35
5a = 60
a = 60 ÷ 5
a = 12
-226.8 = 21.6y
y =
Define: Multipication inverse
two fraction that multiply to give 1
5n + 9 = 2n
9 = 2n - 5n
9 = -3n
n = 9 ÷ -3
n = -3
Seven has less than twice a number
2x - 7 = 5
2x = 5 + 7
2x = 12
x = 12 ÷ 2
x = 6
-3 ( 9 + x ) = 33
-27 - 3x = 33 + 27
-3x = 60 ÷ -3 = -20
x = -20
-1/3q - 7 = -3
-1/3q = -3 + 7
-1/3q = 4
q = 4 ÷ -1/3
q = -12
6 + n/5 = -4
n/5 = -4 - 6
= n/5 = -10
n = -10 / 5
n = -2
11x = 24 + 8x
24 = 11x - 8x
24 = 3x
x = 24 ÷ 3
x = 8
Three more than the quotient of a number and 2 is 7
x/2 + 3 = 7
x/2 = 7 - 3
x/2 = 4
x = 4 x 2
x = 8
9 ( j - 4 ) = 81
9j - 36 = 81
9j = 81 + 36
9j = 117
j = 117 ÷ 9
j = 13
-4-3y=31
-3y=31-4
-3y=27
y=27÷-3
y=-9
4/7 x = 16
x = 16 ÷ 4/7
16/1 x 7/4
= 4/1 x 7/1
x = 25
6n -1 = 4n - 5
6n - 4n = -5 + 1
2n = -4
n = -4 ÷ 2
n = -2
The difference between 5 times a number and 3 is 12
5x - 3 = 12
5x = 12 + 3
5x = 15
x = 3
-12 ( k + 4 ) = 60
-12k - 48 = 60
-12k = 60 + 48
-12k = 108
k = 108 ÷ -12
k = -9
nine more than three times a number is negative six
9+3x=-6
3x=-6-9
3x=-15
x = -15 ÷ 3
X = -5
3/4w = 21/30
w = 21/30 ÷ 3/4
w = 7/15 x 2/1
w= 14/15
9x - 14 = 2x
-14 = 2x - 9x
-14 = -7x
x = -14 ÷ -7
x = 2
Five less than twice a number is 7
2x - 7 = 5
2x = 7 + 5
2x = 12
x = 12 ÷ 2
x = 6
2 ( 10 + t ) = 42
20 + 2t = 42
2t = 42 - 20
2t = 22
t = 22 ÷ 2
t = 11
1 5/7 ÷ 1 13/14
12/7 ÷ 27/14a
a = 12/7 ÷ 27/14
a = 4/1 x 2/9
a = 8/9