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Place the integers –3, – 2, – 1, 0, 1, 2, 3, 4, and 5 in the circles so that the three numbers in any line add up to +3.

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–3, –2, –1, 0, 1, 2, 3, 4, and 5

in the circles so that the three numbers in any line add up to +3.

Complete the pattern, then use your results to make the indicated prediction.

51 = ______

52 = ______

53 = ______

54 = ______

Predict: the ones’ digit of 543 ______

the tens’ digit of 574 ______

_

Complete the pattern, then use your results to make the indicated prediction.

61 = ______

62 = ______

63 = ______

64 = ______

Predict the ones’ digit of 6113 ______

Complete the pattern, then use your results to make the indicated prediction.

41 = ______

42 = ______

43 = ______

44 = ______

Predict the ones’ digit of 429 ______

Predict the ones’ digit of 482 ______

Complete the pattern, then use your results to make the indicated prediction.

21= _____ 12 = _____

22 = _____ 112 = _____

23 = _____ 1112 = _____

24 = _____ 11112 = _____

Predict:

ones’ digit of 284 = ? 11,1112 = ?

ones’ digit of 243 = ? 111,1112 = ?

_____

Study the pattern of the ones’ digits in the powers of 3 and the powers of 7. Then predict the ones’ digit of each number.

- 350 b. 7101
- c. 381 d. 744

- y² • x³ = (xy)5
- 46 = 64
- z² • z6 = z3 • z4
- (312)0 = (123)0

- (33)4 = 312
- 36 + 36 = 312
- 34 • 33 = 312
- 39• 33 = 312

- All integers are negative.
- The absolute value of every integer is its opposite.
- Two integers that are opposites have the same absolute value.
- The absolute value of an integer is always positive.

- The opposite of an integer is always negative.
- The absolute value of a positive integer is the integer
- The absolute value of an integer is always greater than the integer.
- A positive and negative integer will always add to zero.

Teri made up a game of darts. Everyone was given a chance to throw 3 darts. If all 3 darts hit the target, list all possible scores that could result.

-5

1

10

In each row, choose the item that does not belong. Be prepared to give the reason for your answer.

- A B C D
- (-2)(-3)(-7)(4)(-7)(-5) -(-4)(5) (-2)(-3)(5)
- 2. -(-49) |-49| (-7)2 -72
- 3. 3a2b2 x3 abc 22y3

Study this pattern: 3, 4, 7, 11, 18, 29, 47, 76

- Note that 3 + 4 = 7
- 4 + 7 = 11
- 7 + 11 = 18
- Use the same rule to complete the patterns below:
- 4, 5, _, , , 37
- 1, 2, , , , , 21
- 2, 1, , , , , 18
- 6, 10, , , , , 110

Study this pattern: 3, 4, 7, 11, 18, 29, 47, 76

- Note that 3 + 4 = 7, 4 + 7 = 11, and 7 + 11 = 18
- Use the same rule to complete the patterns below:
- 2, , 10, , , , 74
- 3, , , 7, , , , 50
- 5, , , 5, , , , , 65
- 6, , , 4, , , , 35

Study this pattern: 3, 4, 7, 11, 18, 29, 47, 76

- Note that 3 + 4 = 7, 4 + 7 = 11, and 7 + 11 = 18
- Use the same rule to complete the patterns below:
- 8, , , , 7, , , , 41
- , , , , 15, 20
- , , , , , , , ,10, 16
- 4. 10, , , , , 0, , , , ,10

In the 15th century, European flour merchants used positive and negative numbers. On a flour barrel +5 meant that it was 5 pounds overweight; –5 meant that it was 5 pounds underweight. The following numbers were on 100-pound barrels. Did the five barrels contain more or less than 500 pounds? How much more or less?

–3

–2

+6

+3

–6

Tank is a football fullback. Sometimes he gains yardage (+5 means a five-yard gain). Sometimes he loses yardage (–8 means an eight-yard loss). Determine Tank’s total yardage in each of the following games.

Game 1: +3, +5, +6, +1, +13

Game 2: –2, –6, –1, –2, –4

Game 3: –4, +4, –3, +3, +10, –13

Game 4: –5, +3, +6, –2, +8, –6, +9, –1

Game 5: +6, –7, –5, +10, –3, –8, +5, –10, +8,

+3, +7, –11, –6

Fill in the missing squares. Each column, row and diagonal should have the same sum. Find the sum.

5

-9

?

Sum = ____

-1

-3

-7

Arrange the integers {-4, -3, -2, -1, 0, 1, 2, 3, 4} in the square so that each column, row and diagonal gives the same sum.

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