Algebra Patterns and Variables

Write the pattern rule for this pattern:

3,5,7,9,11

• Increase by 3, start at 2

• Increase by 2, start at 2

• Starts at 3, Increase by 2

• Starts at 2, Increase by 3

Write the algebraic expression to find any term number for this pattern:

2,6,10,14

• 2n +4

• 4n + 2

• 2n - 4

• 4n -2

Write an expression for the nth term. (Algebra expression, use n as the variable)

2,7,12,17

Write the pattern rule for the pattern?

4,6,8,10

• Add 2

• Starts at 4, Increase by 2

• Starts at 2, increase by 4

• Starts at 4, decreases by 2

Write an expression for the nth term?

7,10,13,16

• 7n + 3

• 7n - 4

• 3n + 4

• 3n +7

Does the number 120 appear in this pattern?

2,5,8,11,14

• Yes

• No

• Maybe

• No clue

What is the 27th term in this pattern?

4,7,10,13

• 76

• 81

• 82

• 90

What is the 50th term in this pattern?

12,25,38,51

• 694

• 496

• 469

• 649

Laurel buys a box of mechanical pencils, and a tube of 8 refill leads. Each pencil contains 3 leads.

Laurel puts the tube of refill leads into her pencil case, then adds one pencil at a time. Write an algebraic expression for the number of leads in the pencil

case for any number of pencils.

• 3n + 8

• 8n + 3

• 3n - 8

• 8n -3

What is the 12th term in this pattern?

1,4,9,16

• 256

• 640

• 144

• 196