12-17-15 L40 CI, COI, CEI Word Problems.notebook

12­17­15 L40 CI, COI, CEI Word Problems.notebook
Word
Problems:
Consecutive
Integers
Standards: N-Q.1
A-CED.1
December 17, 2015
Consecutive Integers:
Objective: Students will be able to solve
consecutive integer problems algebraically.
A-REI.3
Review Procedure for Word Problems:
1. Let statements
2. Equation
3. Solve
4. Plug solution into let statements
5. Check, does the answer make sense
6. Answer as ∴ statement
Change order for more than, less than,
and subtracted from
1) Find two consecutive integers whose
sum is 35.
Let _____ =
Let _____ =
12­17­15 L40 CI, COI, CEI Word Problems.notebook
2) Find two consecutive integers whose
sum is 41.
December 17, 2015
3) Find two consecutive integers whose
sum is -15.
Let _____ =
Let _____ =
Let _____ =
Let _____ =
4) Find three consecutive integers whose
sum is 24.
5) Find three consecutive integers such
that the sum of the first and third is 22.
Let _____ =
Let _____ =
Let _____ =
Let _____ =
Let _____ =
Let _____ =
12­17­15 L40 CI, COI, CEI Word Problems.notebook
6) Find three consecutive integers such
that the sum of the first and third is -38.
December 17, 2015
Let _____ =
7) Find three consecutive integers such
that the third is 13 less than the sum of
the first and the second.
Let _____ =
Let _____ =
Let _____ =
Let _____ =
Let _____ =
8) Find three consecutive intesters such that the sum of the first two integers is 24 more than the third integer.
9)Find three consecutive integers such that
the sum of the first and third is -44.
Let _____ =
Let _____ =
Let _____ =
Let _____ =
Let _____ =
Let _____ =
12­17­15 L40 CI, COI, CEI Word Problems.notebook
December 17, 2015
10)Find three consecutive integers such that
the third is 15 less than the sum of the first
and the second.
Let _____ =
Let _____ =
Let _____ =
11) Find three consecutive integers such that twice the
smallest is 14 more than the largest
Let _____ =
Let _____ =
Let _____ =
12) Find two consecutive integers such that three times the larger is 17 more than the smaller.
Let _____ =
Let _____ =
13) Find two consecutive integers such that 5
times the smaller exceeds the larger by 31.
Let _____ =
Let _____ =
12­17­15 L40 CI, COI, CEI Word Problems.notebook
December 17, 2015
14) Find two consecutive integers whose
sum is 99.
Let _____ =
Let _____ =
15) Find two consecutive integers whose
sum is 114.
Let _____ =
16)Find three consecutive integers such
that the sum of the first and the second is
8 more that the third integer.
Let _____ =
Let _____ =
Let _____ =
Let _____ =
12­17­15 L40 CI, COI, CEI Word Problems.notebook
Consecutive EVEN Integers:
Pick any even #
and check it out!
Let x = the first COI
December 17, 2015
17) Find two consecutive even integers such that eight
times the first is equal to 26 more than the second
Let (x+2) = the second COI
Let _____ =
Let (x+4) = the third COI
Let _____ =
Consecutive ODD Integers:
Pick any odd #
and check it out!
Let x = the first CEI
Let (x+2) = the second CEI
Let (x+4) = the third CEI
18) Find two consecutive odd integers such that five
times the second is equal to 38 more than the first.
Let _____ =
Let _____ =
19) Find three consecutive integers such that the sum of
the first and the second is 10 more than the third
integer.
Let _____ =
Let _____ =
Let _____ =
12­17­15 L40 CI, COI, CEI Word Problems.notebook
December 17, 2015
20) Find two consecutive odd integers such that twice
21) Find two consecutive odd integers such that the twice the
the smaller is 9 more than the larger.
larger integer is 11 less than three times the smaller integer.
Let _____ =
Let _____ =
Let _____ =
Let _____ =
1) Find three consecutive integers whose sum is 33.
Complete the worksheet
2) Find three consecutive integers such that the sum of the first and third is 22.
3) Find three consecutive integers such that the third is 13 less than the sum of
the first and the second.
12­17­15 L40 CI, COI, CEI Word Problems.notebook
4) Find two consecutive even integers such that twice the smaller
is 26 less than three times the larger.
5) Find three consecutive even integers such that the sum of the
first and third is 144.
6) Find two consecutive odd integers such that 4 times the larger
is 29 more than 3 times the smaller.
December 17, 2015