Variable Equations
2x-7+2x
4x-7
Your grandparents live 500 miles away. How quickly do you have to travel to get there in 5 hours?
100 miles per hour
You order a pizza. There are 8 slices. Your friend eats 3 and you eat 2. What Fraction of the pizza remains?
3/8
1-5+3
-1
8x+3y-12+8y
8x+11y-12
There are 60 minutes in an hour
60mph
You have a ruler that only reads in 1/8 inches. You need to measure out 6 inches. How many inches as a fraction of 1/8?
48/8
13+4-9-6
2
8x+4-12x+7
-4x+11
You are walking downtown at a brisk pace. You pass a building that is 100 feet long in 20 seconds. How fast are you going in mph?
There are 5280 feet in a mile
There are 3600 seconds in an hour
There are 20 students in a class. If 1/2 drive, 1/4 walk or bike, and the rest take public transportation. How many students take public transportation?
5 students
5-0.8+3
7.2
92x+50y-92x+65-50y-65
0
You look at the speedometer and see you are traveling at 55 mph. You have to travel 180 miles in the next 3 hours. Will you make it on time? If not, how fast do you need to travel?
There are 100 people in the building half of everyone leaves. Then 1/5 of the people that left come back in. How many people are in the building now?
60 people
16+9+3-4+8-12-8
12
15k+12x+6k-12z+8x-2y+3z-4x
21k+16x-9z-2y
You're late for school and need to get there in 20 minutes. You can take your bike which goes 0.4 miles per minute but you have to travel 5 miles.
You could instead go through some back yards traveling at 0.1 mile per minute but only having to travel 3 miles.
Which gets you to school faster? +50 points for listing how long it takes you to get there.
Bike. 12.5 Minutes
You're having a party! 40 people RSVP. Of those people, 10 bring gifts, 20 bring snacks, and the rest bring just themselves. In lowest terms, what fraction of people brought something to the party?
3/4
12 - 0.5 +7 + 0.3
18.8