Algebra 1A Section 2.4 Consecutive Integers CW/HW Name_____________________ Date_______
1.
Find three consecutive odd integers
with a sum of 51.
2.
Find four consecutive integers
with a sum of 94.
3.
Find three consecutive integers
with a sum of 30.
4.
Find two consecutive even integers
with a sum of 74.
5.
Find four consecutive odd integers such that the sum of the first, the third, and the fourth is equal
to 85.
Solve each equation.
6.
2x + 1 = – 3
7.
6 – 13n = 19
8.
5z + 5 = 0
9.
3h
+ 5 = 4
4
10.
2(6 – 4y) = 4
11.
47 + 7p = 30
12.
3.1 – n = 0.9
13.
15 =
7x  4
3
14.
17 = 35 + 6m
15.
6 
x
=1
10
Answers to odd exercises: 1. 15, 17, 19; 3. −11, −10, −9; 5. 25, 27, 29, 31; 7. n = −1;
9. h = −12; 11. p = 11;
13. x = 7;
15. x = 50
Algebra 1A Section 2.4 Consecutive Integers
Name______________________ Date_______
Consecutive Integer Problems
Goal: To solve consecutive integer problems.
To solve two step equations.
Consecutive Integers
Consecutive Even/Odd Integers
x
x+1
x+2
x+3
x
x+2
x+4
x+6
1. Find two consecutive integers whose
sum is 89.
First
=
Second =
x
x+1
2x + 1 = 89
1 1
2x = 90
2
2
x = 45
Answer: 45, 44
2. Find three consecutive odd integers
whose sum is 117.
First
= x
Second = x + 2
Third = x + 4
3x + 6 = 117
6 6
3x = 111
3
3
x = 37
Answer: 37, 39, 41
3. Find four consecutive even integers
whose sum is 4.
First =
x
Second = x + 2
Third = x + 4
Fourth = x + 6
4x + 12 = 4
12 12
4x = 8
4
4
x = 2
Answer: 2, 0, 2, 4
Algebra 1A Section 2.4 Consecutive Integers Notes Name______________________ Date_______
Consecutive Integer Problems
Consecutive Integers
1.
2.
3.
Consecutive Even/Odd Integers
Try these:
4.
Find three consecutive integers
whose sum is 39.
5.
Find two consecutive odd integers
whose sum is 56.
6.
Find three consecutive even integers
whose sum is 60.
7.
Find three consecutive odd integers
such that the sum of the second and third is
32
Solve each equation:
7.
10.
4(2y – 1) = 8
35 = 3 – 8x
8.
5= 
t
+4
2
11.
9.
2 + 3(4h + 1) = 53
12.85y – 2.85y – 6 = 4