Place the integers

1
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.
2
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 ______ _
3
Complete the pattern, then use your results to
make the indicated prediction. 61
______ 62 ______ 63 ______ 64
______ Predict the ones digit of 6113 ______
4
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 ______
5
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 ? _____
6

• 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

7

• True or False?
• y² x³ (xy)5
• 46 64
• z² z6 z3 z4
• (312)0 (123)0

8

• True or False?
• (33)4 312
• 36 36 312
• 34 33 312
• 39 33 312

9

• True or False?
• 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.

10

• True or False?
• 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.

11
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
12

• 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

13

• 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

14

• 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

15

• 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

16
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
17
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 Tanks 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
18
Fill in the missing squares. Each column, row
and diagonal should have the same sum. Find the
sum.
5
-9
?
Sum ____
-1
-3
-7
19
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.