Integer Insanity
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Crack the Pattern
Expression Session
Coordinate Quest
100

−8+13

5

100

−6+4(−3)

-18

100

4,8,12,16,20, ____

24

100

7 more than two times x

2x + 7

100

Starting at the origin, what coordinate is 4 right and 3 up?

(4, 3)

200

−17−(−9)

-8

200

18÷(−3)+∣−7∣

1

200

3,7,5,9,7,11, ___, ____

9, 13

200

4 less than twice n

2n - 4

200

Simplify and state the quadrant of the coordinates: (−5+2, 7-6) 

(-3, 1) is in Quadrant II

300

∣−18∣ + (−7)(4)

-10

300

−5[3+(−7)]−∣−4∣

16

300

2,5,10,17,26, ____

37

300

Solve for x = 4

3x2+7

55

300

Which point is farther from the x-axis?

A  (4,8)

B  (−6,3)

A

A(4,8) → distance from x-axis = 8

B(−6,3) → distance from x-axis = 3

400

(−7)(−6)+(−15)(-1)

57

400

24÷(−6)−(−3)(5)+∣−8∣

19

400

2, 5, 11, 23, 47, __, __

95, 191


Pattern: Multiply by 2, then add 1.

400

Solve when a=−2

2a2−3a+1

15

400

A point starts at (−3,5). It moves 7 units right and 9 units down.

What are its new coordinates?

Answer: (4, -4)

Starting point: (-3,5)

7 right: −3+7=4-3+7=4

9 down: 5−9=−4  

500

−72÷(−8) − (−6)(−3) + ∣−11∣

2

500

−24÷[(−3)(−2)−10]−(−5)(−4)2

86

500

81, 72, 56, 33, 3, __, __

-34, -78


Pattern: Subtract consecutive multiples of 9

500

Simplify: 4(2x−3)−2(x+5) 


6x-22

500

Point A is at (−4,−2), and point B is at (5,4).

How many units right/left and up/down must you move from A to reach B?

9 units right

6 units up

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