Name
Alg1
December 19, 2007
Consecutive Integer Problem
Part I: Consecutive Integer Problems:
1) Find 5 consecutive integers with the sum of 155.
2) Find 6 consecutive even integers with the sum of -162.
3) Find 5 consecutive integers with the sum of 220.
4) Find 5 consecutive even integers with the sum of -310.
5) Find 5 consecutive even integers such that the sum of the 3rd and 5th is 176.
6) Find 4 consecutive odd integers such that the sum of the 1st and 4th is -108.
7) Find 4 consecutive integers such that the sum of the 2nd and 4th is -132.
8) Find 5 consecutive even integers such that the sum of the 1st and 4th is 214.
9) Find 5 consecutive odd integers such that 3 times the first is 85 more than the sum of the 3rd and
the 5th.
10) Find 6 consecutive odd integers such that the sum of the 3rd and the 6th is 221 less than triple the
5th.
11) Find 4 consecutive odd integers such that 5 times the 2nd is 58 more than the sum of the 1st, 3rd,
and 4th
12) Find 5 consecutive integers such that 5 times the 2nd is 124 more than the sum of the 4th and
the 5th.
13) Find 5 consecutive even integers such that the sum of the 1st, 2nd, and 3rd is 134 less than 5
times the 5th.
14) Find 5 consecutive odd integers such that 4 times the 3rd is 152 more than the sum of the 2nd and
5th.
15) Find 5 consecutive integers such that the sum of the 4th and the 5th is 68 less than triple the
first.
16) Find 5 consecutive odd integers such that the sum of the 4th and the 5th is 303 more than 5
times the 3rd.
Part II: Solving Equations:
Show all work:
1) ⅜ x + 91 = 67
3) ¾x - 84 = 9
5) 6(4x + 3) – 8(4x - 2) = 106
7) 8(8x + 3) + 9(4x - 2) = 306
9) 3(10x - 7) = 11(2x + 1)
11) 6(3x + 5) = 7(2x + 2)
13) 4(3x + 7) + 10 .
11
= 10
2) 43 - ⅔ x = 81
4) 54 - ⅝ x = -1
6) 3(4x – 5) = 5(2x - 1)
8) 5(6x – 5) = 19(2x - 3)
10) 8(11x – 5) – 9(10x - 2) = 8
12) 9(8x + 3) – 8(6x - 2) = -5
14) 3(10x + 8) .
4
+ 8 = -16
Name
Alg1
December 19, 2007
Consecutive Integer Problem
Part III: Graphing:
Put each line into Slope Intercept (y=mx + b) and graph:
1) (3,-2)(-6,-8)
6) m= 4 (-2,-5)
12) 16x -4y =36
2) (-6,10) (9,-10)
7) m= ⅔ (-6,-7)
13) 8x+24y = 96
3) (3,7) (3,-7)
8) m= -3/2 (8,-5)
14) y-7=2(x+1)
4) (7,-6)(-3,4)
9) m = 0 (4,3)
15) y+5=(2/5)(x-10)
5) (5,-9)(-5,-9)
10) m = undefined (-6, 5)
16) y-7= ¾ (x+12)
11) m=-3 (-4,19)
17) y-2=-3(x-2)
Part IV: Solving Systems Graphically
1) y = 2x - 5
y = - ½x + 5
2) 15x + 15y = 75
y + 6 = (3/2)(x + 4)
3) y - 3 = ¾ (x - 8)
34x – 17y = -34
4) 24x - 18y = -18
y = -7
5) y - 2 = (- ⅓)(x - 9)
27x – 9y = 45
6) x = 3
y + 15 = (-5/3)(x - 9)
7) x = -7
y=5