Pattern Equations
What is the equation for a pattern that increases by 4 and has a zero term of 2?
y = 4x + 2
What is the zero term in this pattern?
55, 39, 23, 7...
71
Solve this....
4 + 7 x 2 + 3
= 4 + 14 +3
= 21
20 = x - 5
What does x equal?
25
y = 6 - 5x
What would the 8th term in the pattern by represented by the following equation?
y = 4x - 5
27
Solve this...
(5-2) x 5 + 4 ÷ 2
= (3) x 5 + 4 ÷ 2
= 15 + 2= 17
35 = x + 6
What does x equal?
29
What is the equation for the following growing pattern?
3, 5, 7, 9...
y = 2x + 1
What would the 73rd term be in the pattern represented by the following equation?
y = 32 - 3x
- 187
Solve this...
42 x 4 - 18 ÷ 32
= 16 x 4 - 18 ÷ 9
= 64 - 2
= 62
12 = 3x
What does x equal?
(reminder: what operation are we doing if we don't see a sign?)
x = 4
What is the equation for the following shrinking pattern?
21, 18, 15, 12, 9...
y = 24 - 3x
What pattern would have the greatest zero term?
1) 55, 52, 49, 46, 43...
2) 55, 61, 67, 73, 79...
3) 52, 45, 38, 31, 24...
Pattern 1
Solve this...
(14 - 3 x 4) ÷ 2 + 15 x 2
= (14 - 12) ÷ 2 + 15 x 2
= 2 ÷ 2 + 15 x 2
=1 + 30
= 31
35 = 10x +5
What does x equal?
x = 3
What is the equation for this pattern?
1, 8, 15, 22...
y = 7x - 6
Which pattern will have a larger 32nd term?
1) 16, 19, 22, 25...
2) 2, 6, 10, 14...
Pattern 2
Solve this...
150 - [ 2(1+3)]2 + 55 x 3
= 150 - [2(4)]2 + 25 x 3
= 150 - [8]2 + 75
= 150 - 64 + 75
= 161
15 = x ÷ 5 + 7
x = 40