Patterns and Relations Algebra

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

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

Create a pattern that starts at 700 and subtracts 15 each time. Stop after 5 terms.

• 700, 715, 730, 745, 760
• 700, 785, 770, 755, 740
• 700, 685, 670, 655, 640
• 700, 695, 680, 665, 650

In the pattern:  21, 28, 35, 42…..   What is the rule?

• Multiply by 7
• Add 7
• Add 6
• Subtract 7

Michael Phelps eats 12,500 calories per day. Most adult men eat 2,467 per day. How many more calories (c) does Michael eat? 
What equation matches this problem?

• c - 12,500= 2,467
• 2,467 + c = 12,500
• 2,467 + 12,500 = c
• 2,467- 12,000= c