Complete the Pattern
Word problems
Algebraic Expressions
Evaluating and solving.
Adding monomials
100

Complete the next three terms. 

8.5, 19, 29.5, 40, ______, ______, _______

50.5, 61, 71.5

100

Rein, her mom, and her aunt go cherry picking. The farm charges $5 for 1 basket and the first pound of cherries, then $4 for each additional pound. Create a table showing the first 6 pounds and the cost.

THEN, using 1 basket, how much would it cost if Rein picked 3 pounds, her mom picked 2 pounds, and her aunt picked 4 pounds?

1 ---> $5

2 ---> $9

3 ---> $13

4 ---> $17

5 ---> $21

6 ---> $25


If you continue the table to 9 pounds, it would cost $37.

9 ---> $37

100

Double m

2m or m + m or 2 x m

100

Evaluate 4 + 2y when 

a) y = 5

b) y = 8

a) 14

b) 20

100

2n + 4n + 3

6n + 3

200

Complete the next three terms.

102, 100, 96, 90, ____, ____, ____

82, 72, 60

200

Rein decides to go strawberry picking on her own. The farm charges $5 per person, then $2 for each pound of strawberries picked. Write an expression of how much it costs if p pounds is picked.

BONUS: How much will it cost Rein if she picks 7 pounds?

5 + 2p

BONUS: 5 + 2 x 7 = $19

200

10 subtracted from t

y - 10

200

Solve the following equation.

9t + 4 = 49

t = 5

200

8y - 3 - 6y

2y - 3

300

Complete the next three terms.

5, 9, 13, 17, ____, ___, ____

21, 25, 29

300

In a theatre, the first row has 250 seats, the 2nd row has 262 seats, the 3rd row has 274 seats. Each row continues to increase by the same number. Using this pattern, how many seats are there in the 7th row?

322 seats

300

Add 5 to y

y + 5

300

Solve the following equation.

5 + a + 2a = 41

a = 12

300

Group the monomials, then evaluate when y = 2.

5y + 8 + 2y

7y + 8

=22

400

Write the first 5 numbers of the pattern: Start at 98, minus 7 each time. Then find the sum of the five numbers.

98, 91, 84, 77, 70

sum = 420

400

A dentist visit costs $195 and each filling costs $89. Let f be the number of fillings the dentist needs to fill. Write an expression to show the cost of a visit with f fillings.

THEN, use the expression to calculate the cost of a dentist visit with 4 fillings.

195 + 89f

195 + 89 x 4

= $551

400

7 divided by x

7/x

400

h/35 - 7 = 3

h = 350

400

y + y

2y

= 4

500

Complete the pattern and write the rule.

64, ___, ___, 40, ____, 24, 16, ____

64, 56, 48, 40, 32, 24, 16, 8

Start at 64, minus 8 each time.

500

Here is an input/output table.

1 --> 7

2 --> 12

3 --> 17

4 --> 22

Complete the table to the input of 8.

a) what is the common difference?

b) what is the explicit pattern rule?

c) what would the input be if the output was 52?

a) 5

b) 5t + 2

c) t = 10

500
The product of 8 and h
8h
500

(14 + m) - 6 x 8

(14 + m) = 36 + 48

14 + m = 84

m = 70


500

10.5y - 2 - 2y

12.5y - 2

= 23