Patterning and Algebra

Pattern Rule (Start at...)

100

12, 16, 20, 24, 28

What is the pattern rule?

Start at 12. Add 4 each time.

200

94, 74, 54, 34, 14

What is the pattern rule?

Start at 94. Subtract 20 each time.

300

31, 40, 49, 58, 67

What is the pattern rule?

Start at 31. Add 9 each time.

400

35, 28, 21, 14

What is the pattern rule

Start at 35 and subtract 7 each time.

500

47, 41, 35, 29, 23

What is the pattern rule?

Start at 47. Subtract 6 each time.

Algebraic Expression

100

5, 10, 15, 20

What is the algebraic expression?

5x or 5n

200

4, 6, 8, 10

What is the algebraic expression?

2x + 2 or 2n + 2

300

2, 6, 10, 14

What is the algebraic expression?

4x - 2

400

28, 21, 14, 7

What is the algebraic expression?

-7x + 35

500

12, 4, -4, -12 

What is the algebraic expression?

-8x + 20

Sequence

100

The pattern rule is start at 4 and multiply by 2 each time. What are the first four numbers in the pattern?

4, 8, 16, 32

200

The pattern rule is start at 13 and add 7 each time. What are the first four numbers in the pattern?

13, 20, 27, 34

300

The pattern rule is start at 36 and subtract 12 each time. What are the first four numbers in the pattern?

36, 24, 12, 0

400

The pattern rule is start at 14 and alternately add 5, then add 10. What are the first four numbers in the pattern?

14, 19, 29, 34

500

The pattern rule is start at 100 and alternately subtract 25, then add 3. What are the first four numbers in the pattern?

100, 75, 78, 53

Substitution

100

What is the 25th term of this expression 2x + 10

60

200

What is the value of the 100th term in the expression 3x -5

295

300

Find the 7th term in this expression 8x - 15

41

400

Find the 0 term of this expression

-4x + 12

12 

500

What is the value of the 12th term of this expression -2x + 10

-14

Slope

100

What is the slope and y-intercept of the following equation? Provide the y-intercept in coordinates.

y = 2x + 7

Slope = 2

Y Intercept = (0, 7)

200

What is the slope and y-intercept of the following equation? Provide the y-intercept in coordinates.

y = 1/4x

Slope = 1/4

Y intercept = (0, 0)

300

What is the equation for slope?

m = y² - y¹ / x² - x¹

400

Find the slope using the following coordinates.

(3, 6) and (7, 13)

Slope = 13 - 6 / 7 - 3

Slope = 7 / 4

500

Find the slope using the coordinates below.

(-6, 8) and (-2, 4)

Slope = 4 - 8 / (-2) - (-6)

Slope = -4 / 4 = -1