Pattern Rule
Write the Pattern Rule:
0, 4, 8, 12, 16,
Add 4 each time
Add 7 to each side of the equation.
8 = 8
8 + 7 = 8 + 7
15 = 15
Verify to see if both sides of the equation are equal.
8 + 5 = 10 + 3
Equal !
Rewrite using the commutative property!
x + 1
1 + x
x + 11 = 14
x = 3
Write the Pattern Rule:
49, 42, 35, 28, 21
Subtract 7 each time
Subtract 5 from each side of the equation.
25 = 25
25 - 5 = 25 - 5
20 = 20
Verify to see if both sides of the equation are equal.
18 - 6 = 22 - 7
Not Equal!
Rewrite using the commutative property!
3 x a
a x 3
x - 17 = 8
x = 35
Write the pattern rule:
3, 9, 27, 81
multiply by 3 each time.
multiply each side of the equation by 8.
6 = 6
6 x 8 = 6 x 8
Verify to see if both sides of the equation are equal.
6 x 6 = 9 x 4
Equal !
Rewrite using the commutative property!
4 + b and 5 x c
b + 4 and c x 5
4x = 24
x = 6
Write the Pattern Rule:
5000, 1000, 200, 40, 8
Divide by 5 each time.
Divide each side of the equation by 2.
30 = 30
30/2 = 30/2
15 = 15
Verify to see if both sides of the equation are equal.
72/12 = 60/6
Not Equal!
Rewrite using the commutative property!
6 + d and e x 8
d + 6 and 8 x e
x/7 = 6
x = 42
1, 7, 4, 10, 7, 13, 10, 16
Add 6, then subtract 3 each time.
multiply by 2 and then add 3 to each side of the equation.
x = 10
2x = 20
2x + 3 = 23
2 x 8 + 14 = 5 x 4 + 10
30 = 30
Equal!
Is division and subtraction considered commutative? Prove your answer!
No they are not!
Ex: 4 -1 does not equal 1 - 4
Ex: 2/4 does not equal 4/2
x = 7