Algebra Patterns and Sequences

Using the rule that describes how one sequence is related to the other, how many cupcakes will 6 batches make?

Marco and Polo are making the world's largest apple pie. They will need 215 apples. Marco has already picked 95 apples. How many apples will Polo need to pick so they have enough? Select the equation that best describes this problem.

• p - 95 = 215

• 215 + p = 95

• p + 95 = 215

• 95p = 215

Johnny borrowed $270 from you and he needs 3 months to pay it back. How much money does he need to give you each month? This problem can be shown by the equation 3m = 270 What are the steps and solution to this problem?

• Divide both sides by 3, m = 90

• Multiply both sides by 3, m = 810

• Subtract 3 from both sides, m = 267

• none of these

Find the next term in the sequence
-4, -1, 2, 5, 8, ...

• 11

• 10

• 6

• 24

Find the rate of change of the table

• 5/1

• -5/1

• -5

• 5

What is the common difference (d) of the following sequence?
-4, -1, 2, 5, 8, ...

• -4

• 2

• -3

• 3

Find the rate of change of the table

• 1/3

• 3

• -1/3

• 4/3

What is the initial term (a₁) of the sequence below
3, 5, 7, 9, 11, ...

• 3

• 2

• 13

• 69

Find the 8th term in the sequence
3, 5, 7, 9, 11, ...

• 12

• 14

• 16

• 18

Find the initial term (a₁) and common difference of the sequence
10, 5, 0, -5, -10, ....

• a₁= -5 , d= 5

• a₁= -5 , d= -5

• a₁= 10 , d= -5

• a₁= 10 , d= -5