consecutive integers in algebraic equations and expressions

Expressions & Equations with Consecutive Integers

Contents:: | 1. Vocabulary | 2. Samples | 5. Answers |; | 3. & 4. Write expressions & equations about consecutive integers |
1. Vocabulary: number, integers, consucutive, odd, even, product, sum: Review words as needed. Return to this page.; Review the idea of "A Number" as needed. Return to this page.
2. Experiment with different kinds of consecutive integers using constants.: 1st: Press the "an integer" button or type in an integer using "-x" not "- x" for a negative.; 2nd: Press each other button to see the corresponding integer displayed.

3. Write the code for the expression:

a. the sum of three consecutive integers

b. the sum of three consecutive odd integers

c. the sum of three consecutive even integers

d. The sum of three consecutive even integers is 24.

4. Find the integers of question d, above.

Then, see the answers.

a. the sum of three consecutive integers --

(first) + (second) + (third)

(x) + (x + 1) + (x + 2)

b. the sum of three consecutive odd integers

(first) + (second) + (third)

(x) + (x + 2) + (x + 4)

c. the sum of three consecutive even integers

(first) + (second) + (third)

(x) + (x + 2) + (x + 4)

d. The sum of three consecutive even integers is 24.

(first) + (second) + (third) = 24

(x) + (x + 2) + (x + 4) = 24

3x + 6 = 24

- 6 -6

------------------------

3x = 18

3x/3 = 18/3

x = 6

The integers are 6 (from the x) , 8 (from the x + 2), and 10 (from the x + 4).

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