soooo confused.?

Question

these are practice questions.. not test ones just so you know


1.)

Identify the expression that represents the "sum of the first 3 consecutive integers."

(x) + (x+1) + (x+2) or 3x +3

(x) + (x+2) + (x+4) or 3x +6

(x) + (x+1) + (x+3) or 3x +4

(x) + (x) + (x) or 3x


2.)

Identify the expression that represents "the sum of the first 3 consecutive EVEN integers."

(x) + (x+1) + (x+2) or 3x +3

(x) + (x+2) +(x+4) or 3x +6

(x) + (x+1) + (x+3) or 3x +4

(x) + (x) + (x) or 3x

3.)

Identify the expression that represents the "sum of the first 3 consecutive ODD integers."

(x) + (x +1) + (x +2) or 3x +3

(x) + (x+1) + (x+3) or 3x +4

(x) + (x+2) +(x+4) or 3x +6

(x) + (x) +(x) or 3x

Answer 1

1) If numbers are "consecutive", then the difference between a number and the next one is 1.

2 and 3) Even numbers (and odd numbers) come every "two". The difference between any consecutive even number is 2 (for example 18 and 20). The difference between any consecutive odd number is 2 (example: 127 and 129).

In all your problems, x seems to represent the first number of the consecutive set. So, for example, the second number of the set (in problem 1) will be x+1.

If you have the set {1, 2, 3}, the first 3 consecutive integers, and if x = 1, then 2 = x+1.

Answer 2

1) (x) + (x+1) + (x+2) or 3x +3

2) (x) + (x+2) +(x+4) or 3x +6

3) (x) + (x+2) +(x+4) or 3x +6

Answer 3

1- >1
2-> 2
3-> 3

if you get confused, take a sheet of paper and replace x to 0, 1, 2. You'll see your answers.