Show:
Pattern Rule
Algebra
Evaluate
Simplify
Solve
100

12, 16, 20, 24, 28

What is the pattern rule?

4n+8

100

16 x ___ = 64

16 x 4 = 64

100

3 + (4x5) = n

Solve for n

3 + 20 = 23

n = 23

100

30 r - 11 r - 15 r

= 4 r

100

If x= 5 and y=8, solve the following:

5x + y - (xy)

= (5 x 5) + 8 - (5 x 8)

= 25 + 8 - 40

= 33 - 40

= -7

200

94, 74, 54, 34, 14

What is the pattern rule?

-20n+114

200

8 + ____ = 21

8 + 13 = 21

200

41 - (6p) = 11

Solve for p

p = 5

200

29n - 16n + 11n

=24n

200

If x= 3 and y= -4, solve the following:

4x + 5y - (3 + x)

= (4 x 3) + (5 x -4) - (3 + 3)

= 12 + (-20) - 6

= -8 - 6

= -14

300

31, 40, 49, 58, 67

What is the General Term for the pattern?

9n+22

300

18 - ____ = 9

18 - 9 = 9

300

2x + 4x = 24 - 12 + 3x

Solve for x

6x = 12 + 3x

6x - 3x = 12 + 3x - 3x 

3x = 12

3x/3 = 12/3

x = 4

300

c + 24y + 39b - 12b + 53y + c

= 2c + 77y + 27b

300

If x= 2 and y=10, solve the following:

5x + 3y - (xy)

= (5 x 2) + (3 x 10) - (2 x 10)

= 10 + 30 - 20

= 40 - 20

= 20

400

3, 7, 11, 15, 19, 23

What is the pattern rule?

4n-1

400

7 x ____ = 35

7 x 5 = 35

400

10x - 15 = 50 - 5x

Solve for x

10x - 15 + 15 = 50 - 5x + 15

10x + 5x = 65 - 5x + 5x

15x/15 = 65/15

x = 4.33

400

28y - 14n + 11c - 7c + 15n - 24y

= 4y + n + 4c

400

If x= 4 and y=7, solve the following:

(3x - 3) - y + (xy)

= ((3 x 4) - 3) - 7 + (4 x 7)

= (12-3) - 7 + 28

= 9 - 7 + 28

= 2 + 28

= 30

500

47, 41, 35, 29, 23

What is the pattern rule?

-6n+53

500

9 x ____ = 36

9 x 4 = 36

500

9x - 12 = 30 - 3x

Solve for x

9x - 12 + 12 = 30 - 12 - 3x

9x + 3x = 18 - 3x + 3x

12x/12 = 18/12

x = 1.5

500

73y + 41c + 67r - 24r + y - 18c

= 74y + 23c + 43r

500

If x= 9 and y=-3, solve the following:

(4x) x (3y) / (xy)

= (4 x 9) x (3 x -3) / (9 x -3)

= 36 x -9 / -27

= -324 / 27

= 12