1. Bell Ringer

2. Equations and Problem Solving
Mr. Haupt
CC A.2; CC A.3

3. Consecutive Integers Consecutive means one right after the other.
Consecutive integers differ by 1. So 10 and 11 are consecutive integers.
Sometimes you will be given that they are consecutive even or odd integers. These numbers differ by 2.
For example: 2 and 4 are consecutive even integers, and 5, 7 and 9 are consecutive odd integers.

4. Solving Consecutive Integer Equations
The first step is always to define a variable before getting into the problem.
The easiest is to make a variable that represents the smallest integer.
Then you need to relate the other integers in terms of the variable.
If there are 3 consecutive integers, and “x” is your first one, and consecutive integers differ by one, then your next two numbers are “x + 1” and “x + 2.”
Consecutive odds and evens differ by two, so your three numbers would be “x,” “x + 2,” and “x + 4.”

5. Examples

6. Uniform Motion Uniform means the rate does not change.
So someone traveling at 60 mi/hr has always been going that fast and will continue to always go that fast.
Use the formula d = rt
Uniform motion problems will include objects going in the same direction, opposite directions, and round trips.

7. Solving Uniform Motion Problems
The first step is to figure out what we know and what we don’t.
Then set a variable for what we don’t know.
For example, if we know a train is going 80 miles an hour and we are looking for how long it takes to get somewhere. We don’t know time, so we will assign a variable for it, “t.” The speed is 80 mi/hr, and since d = rt, we can use 80t as the distance. From there we can find time if we are given additional information, like the speed of a second train trying to catch up to it.

8. Examples

9. Examples

10. Examples